Answer:
0.0086
Step-by-step explanation:
The endpoints of AB are A(-8, 1) and B(4, -7).
What are the coordinates of point Con AB that is
34
the distance from point A to point B?
∞
6
4
The Co-ordinates of the point C that divides the line in the ratio of 3:4 is (-20/7, -17/7)
What is Section Formula?
The Section formula is used in coordinate geometry to compute the ratio of a line segment split by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle. It is used in physics to determine the centre of mass of systems, equilibrium locations, and so on.
Solution:
A(-8, 1) and B(4, -7)
Ratio is 3:4
Section Formula is (mx2 + nx1/ m + n), (my2 + ny1/ m + n)
m = 3 and n = 4
Co-ordinates of C are (3*4 + 4*(-8)/ 3+4), (3*(-7) + 4*1 / 3+4)
= (12 - 32 / 7), (-21 + 4 / 7)
= (-20/7, -17/7)
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what is equilvalent to the square root of -2.
Answer:
1.4142135623730951i
Step-by-step explanation:
Did it help pls make me the brainliest and you can round your answer to how you want it and if not that's you answer thank you.
based on this data, what is a reasonable estimate of the probability that todd runs more than 15\text{ km}15 km15, start text, space, k, m, end text tomorrow?
The reasonable estimate of the probability that Todd runs 5/13.
We know that,
Experimental probability = Number of favorable outcomes/total number of outcomes.
Experimental probability, also called empirical probability, is based on real experiments and rational records of what happened. A series of real-world experiments are conducted to determine the occurrence of events. Experiments with undetermined results are called random experiments. The results of such experiments are uncertain. Repeat the random experiment several times to determine its probability. Experiments are repeated a specified number of times, and each repetition is called a trial. Mathematically, the formula for experimental probability is defined as:
Probability of event P(E) =
frequency of occurrence of event / total number of trials.
According to the question:
The number of favorable outcomes are 5.
The total number of outcomes are 2 + 3 + 3 + 5 = 13.
Therefore, the reasonable estimate of the probability that Todd runs is 5/13.
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What is the value of x?
Answer:
x = 9
Step-by-step explanation:
since the 3 sides are congruent then the triangle is equilateral with the 3 angles being congruent , all 60° , then
7x - 3 = 60 ( add 3 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
The perimeter of a rectangular field is 194m. Three times the width of the garden is 5 meters more than its length. Which system of equations could be used to find the length (L) and the width (W) of the field?
Answer:
Step-by-step explanation:
so we know 3w = L + 5
and then we know that 2w + 2L = 194
so those are our two equations
since we have L by itself in the first equation, we are going to move the 5
L = 3w - 5
so now we can plug that in as L in the second equation
2w + 2(3w - 5) = 194
so now we distribute that 2
2w + 6w - 10 = 194
then simplify
8w - 10 = 194
then add the 10 to the other side
8w = 204
then we divide the 8
we get w = 25.5
so now we take that and go all the way back and plug that into the othr equation (ik this is a lot)
L = 3w - 5
so we plug in what we got for w
L = 3(25.5) -5
then multiply
L = 76.5 - 5
L = 71.5
so we end up with
w = 25.5 and L = 71.5
have a great day!! <3
which expression in the simplest form of
The simplest form of an expression is x³-13x². Therefore, option D is the correct answer.
What is simplest form?Expressions are rewritten in a compact and unlike terms-free manner when they are simplified. Expressions are simplified by combining like phrases, resolving any provided brackets, and only leaving unlike terms that cannot be further reduced in the final simplified expression.
The given expression is -(2x³+x²)+3(x³-4x²)
Simplify the given expression as follows
-2x³-x²+3x³-12x²
= x³-13x²
The simplest form of an expression is x³-13x². Therefore, option D is the correct answer.
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What is the simplified form of this expression? 15 – 10 (92 – 8 ×5 4) – 6
A bag contains 12 red marbles, 14 yellow marbles, and 3 green marbles.
If I marble is chosen at random, which is the probability that it will be a blue marble?
Answer:1/3
Step-by-step theexplanation:1/3 is the probablility of the marbles
Division of Polynomials
1). 2x^3 - x^2 + 3x - 4 / x + 5
2). X^4 - 8x^2 + 2x + 7 / x+5
3). 2x^3 + x^2 - 8x + 15 / x^2 + 2x - 1
Division of Polynomials is [tex]$$2 x^2-11 x+58-\frac{294}{x+5}$$[/tex] , [tex]$$x^3-5 x^2+17 x-83+\frac{422}{x+5}$$[/tex], [tex]2 x-3+\frac{12}{x^2+2 x-1}[/tex].
What is Polynomials?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
1). [tex]\frac{2 x^3-x^2+3 x-4}{x+5}$$[/tex]
[tex]$$\begin{aligned}& \text { Divide } \frac{2 x^3-x^2+3 x-4}{x+5}: \quad \frac{2 x^3-x^2+3 x-4}{x+5}=2 x^2+\frac{-11 x^2+3 x-4}{x+5} \\& =2 x^2+\frac{-11 x^2+3 x-4}{x+5}\end{aligned}$$[/tex]
[tex]$$\begin{aligned}& \text { Divide } \frac{-11 x^2+3 x-4}{x+5}: \frac{-11 x^2+3 x-4}{x+5}=-11 x+\frac{58 x-4}{x+5} \\& =2 x^2-11 x+\frac{58 x-4}{x+5}\end{aligned}$$[/tex]
Divide [tex]$\frac{58 x-4}{x+5}: \quad \frac{58 x-4}{x+5}=58+\frac{-294}{x+5}$[/tex]
[tex]$$=2 x^2-11 x+58+\frac{-294}{x+5}$$[/tex]
Simplify
[tex]$$=2 x^2-11 x+58-\frac{294}{x+5}$$[/tex]
2.[tex]\frac{x^4-8 x^2+2 x+7}{x+5}$$[/tex]
Divide [tex]$\frac{x^4-8 x^2+2 x+7}{x+5}: \quad \frac{x^4-8 x^2+2 x+7}{x+5}=x^3+\frac{-5 x^3-8 x^2+2 x+7}{x+5}$[/tex]
[tex]=x^3+\frac{-5 x^3-8 x^2+2 x+7}{x+5}$$[/tex]
Divide [tex]$\frac{-5 x^3-8 x^2+2 x+7}{x+5}: \frac{-5 x^3-8 x^2+2 x+7}{x+5}=-5 x^2+\frac{17 x^2+2 x+7}{x+5}$[/tex]
[tex]=x^3-5 x^2+\frac{17 x^2+2 x+7}{x+5}$$[/tex]
Divide [tex]$\frac{17 x^2+2 x+7}{x+5}: \quad \frac{17 x^2+2 x+7}{x+5}=17 x+\frac{-83 x+7}{x+5}$[/tex]
[tex]$$=x^3-5 x^2+17 x+\frac{-83 x+7}{x+5}$$[/tex]
Divide [tex]$\frac{-83 x+7}{x+5}: \quad \frac{-83 x+7}{x+5}=-83+\frac{422}{x+5}$[/tex]
[tex]$$=x^3-5 x^2+17 x-83+\frac{422}{x+5}$$[/tex]
3.
[tex]\begin{aligned}& \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1} \\& \text { Divide } \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1}: \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1}=2 x+\frac{-3 x^2-6 x+15}{x^2+2 x-1} \\& =2 x+\frac{-3 x^2-6 x+15}{x^2+2 x-1} \\& \text { Divide } \frac{-3 x^2-6 x+15}{x^2+2 x-1}: \frac{-3 x^2-6 x+15}{x^2+2 x-1}=-3+\frac{12}{x^2+2 x-1} \\& =2 x-3+\frac{12}{x^2+2 x-1}\end{aligned}[/tex]
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Given f(x) = x² + 4x, find the average rate of change of f(x) on the interval [4, 4+h]. Your answer will
be an expression involving h.
Step-by-step explanation:
please refer to the attached sketch for the answer.
SOS 50 PTS!
Use a coordinate proof to show that the diagonals of a rectangle are congruent
The diagonals of rectangle are congruent.
How to show congruent diagonals?
We should know that a rectangle is a plane shape with four sides, four vertices and four angles.
Using a rectangle with the lettering ABCD
The diagonal AC divide the rectangle into two right angled triangles
<ADC = 90⁰
In the rectangle, AD=BC and AB=CD
Also, The same diagonal AC has another right angled triangle ABC with <ABC=90⁰
Similarly, diagonal BD divides the rectangle into two right angled triangles of ΔBAD and ΔBCD with a common hypothenuse of BD
Hence AB=CD and AD= BC
Therefore, the two diagonals are congruent
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Divide. 1585 ÷ 24 Write your answer as a mixed number.
Answer: 66 1/24
Step-by-step explanation:
Pythagorus' theorem, explain why the length of AC is 17 cm
Answer:
see below.
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]8^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]
64 + 225 = [tex]c^{2}[/tex]
289 = [tex]c^{2}[/tex]
[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]
17 = c
ABCD with vertices B (2,1), C (2,5), and D (6,1) has its orthocenter at which point?
A. (0,0)
B. (2,1)
C. (2,5)
D. (6,1)
Step-by-step explanation:
d is the answer as far as I can tell from a little experience
Solve the Cryptarithm,
BIRD
FOOD
+GRID
which equals GRAIN.
Also note that food is a multiple of 1279 and that it is a prime number.
Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378==13674.
What is a cryptarithmetic problem?Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.
What is reverse cryptarithm?A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.
since the digits used are 0 to 9.
first letter can't be zero.
and we can't repeat the same digit for same different alphabets.
Using these rules with the condition that food is multiple of 1279.
The answer is : 9738+2558+1378==13674
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Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378 =13674.
What is a cryptarithmetic problem?
Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.
What is reverse cryptarithm?
A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.
since the digits used are 0 to 9.
first letter can't be zero.
and we can't repeat the same digit for same different alphabets.
Using these rules with the condition that food is multiple of 1279.
The answer is : 9738+2558+1378 = 13674
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Help me !!??!!!????please
If f(x)=-x+6 and g(x)=-x^2-2x+8, the solutions to the equation f(x)=g(x) are x= and x=
The solution to the equation f(x)=g(x) are x=-2 and x=1.
What is solution to an equation?The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given functions are f(x)=-x+6 and g(x)=-x²-2x+8.
Now, f(x)=g(x)
-x+6=-x²-2x+8
⇒ x²+x-2=0
⇒ x²+2x-x-2=0 (Splitting middle term method)
⇒ x(x+2)-1(x+2)=0
⇒ (x+2)(x-1)=0
⇒ x+2=0 and x-1=0
⇒ x=-2 and x=1
Therefore, the solution for the obtained equation are x=-2 and x=1.
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a man imported a machine at shillings 600,000 and sold it for shillings 1,080, does 000 find the percentage profit if he spent shillings 60,000clearing the machine from the port and futher shillings 40,000 for shipping
Answer:
The man made a profit of 63.333% from selling the machine.
Step-by-step explanation:
To find the percentage profit, you will need to first calculate the total profit the man made from selling the machine. To do this, you need to subtract the cost of importing the machine and the other costs associated with clearing and shipping it from the selling price.
Here's the calculation:
Total profit = Selling price - (Import cost + Clearing cost + Shipping cost)Substituting the values you provided, we get:Total profit = 1,080,000 - (600,000 + 60,000 + 40,000)
Total profit = 1,080,000 - 700,000Total profit = 380,000
Next, we need to divide the total profit by the import cost, and multiply the result by 100 to express the profit as a percentage. Here's the calculation:
Percentage profit = (Total profit / Import cost) * 100Substituting the values we calculated above, we get:Percentage profit = (380,000 / 600,000) * 100Percentage profit = 63.333%
Therefore, the man made a profit of 63.333% from selling the machine.
Answer:
Step-by-step explanation:
Use the given point on the terminal side of the angle theta to find the value of the trigonometric function instead
Csc theta (6,4)
Answer:
D) (√13)/2
Step-by-step explanation:
You want to know the cosecant of the angle measured clockwise from the +x axis with point (6, 4) on its terminal side.
CosecantThe cosecant of the angle is the ratio of the point's distance from the origin to the y-coordinate.
The distance from the origin is found using the Pythagorean theorem:
d = √(x²+y²) . . . . . . . distance from the origin to (x, y)
d = √(6² +4²) = √52 = 2√13
Then the desired ratio is ...
csc(θ) = d/y = (2√13)/4
csc(θ) = (√13)/2
-8x < 32
Do what on both sides and change or keep the inequality sign?
See picture please
The required solution of the given inequality is given as x > 4, and the answer for the blanks is to Divide both sides by -8 and change the inequality sign.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
-8x < 32
Divide both sides by -8
x > 4
The sign of the inequality change because multiplication with the negative value changes the inequality sign and the higher negative value is the least value.
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Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game.
How many points did Carlos score?
The number of points that Carlos score based on the information is 19 points.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
In this.case, Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos.
Let Carlos point = x
Fabio point will be = 2x - 7
The equation will be:
2x - 7 = 31
2x = 31 + 7.
2x = 38
Divide
x = 19
Carlos had 19 points
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I don’t understand geometry
Answer:
me either
Step-by-step explanation:
Mr. Frankel bought 5 tickets to a puppet show and spent $28. He bought a combination of child tickets for $2 each and adult tickets for $8 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?
PLEASE HELP ASAP ASAP ASAP
Answer: He bought three adult tickets and two child tickets
Step-by-step explanation:
The answer is 28$
2+2= 4
8+8= 16
16 + 4= 20
20 + 8 =28
He bought two child tickets and three adult tickets
Which of the following statement is false? a. all isosceles triangles are similar b. all quadrilateral triangle are similar c. all circle are similar
d. none of the above
The statement that is false is A.. all isosceles triangles are similar
What is an isosceles triangles?An isosceles triangle in geometry is a triangle with two equal-length sides. It can be specified as having exactly two equal-length sides or at least two equal-length sides, with the latter definition including the equilateral triangle as an exception.
An isosceles triangle has two of its three sides with equal lengths, and its two base angles are also equal. Although two isosceles triangles can have two sides that are equal on their own, they may not be similar because their sides may be of a different measurement.
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A customer paid a total of $6.00 for 68 copies at a print shop. Some copies were black and white copies, the rest were color copies.
• each black and white copy cost $0.08
• each color copy cost $0.15
Which system of equations can be used to find b, the number of black and white copies and c, the number of color copies that the customer paid for at the print shop?
Answer:
D. b + c = 68
0.08b + 0.15c = 6.00
Step-by-step explanation:
The total cost is $6.00
The total amount of copies is 68
To find the total cost, we multiply the amount of copies by the individual price. So we get
0.08b + 0.15c = 6.00
We add the amount of copies bought to get a total of 68, so we get this equation:
b + 6 = 68
A triangle has vertices (0,0), (2,4), and (5,1). What are the coordinates of the circumcenter?
I need steps pls
For the given triangle the coordinate of circumcenter is obtained as (1/3, 7/3).
What is circumcenter of a triangle?The circumcenter for a triangle is defined as the center of the circle that touches all the vertices of the triangle. It is also found as the point of intersection of all of the perpendicular bisectors of the sides of triangle. All the vertices of the triangle are equidistant from the circumcenter.
Suppose the coordinate of the circumcenter be (x, y).
Now, all the vertices of the triangle should be equidistant from the circumcenter.
The equation can be written using distance formula as follows,
(x - 0)² + (y - 0)² = (x - 2)² + (y - 4)²
⇒ 4x + 8y = 20
⇒ x + 2y = 5 (1)
And, (x - 0)² + (y - 0)² = (x - 5)² + (y - 1)²
⇒ 10x + 2y = 26
⇒ 5x + y = 13 (2)
Multiply equation (2) by 2 nd then subtract equation (1) to get,
2(5x + y) - (x + 2y) = 13 × 2 - 5
⇒ 9y = 21
⇒ y = 7/3
Substitute y = 7/3 in equation (1) to get,
x + 2 × 7/3 = 5
⇒ x = 5 - 14/3
⇒ x = 1/3
Hence, the coordinate of the circumcenter is given as (1/3, 7/3).
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Print Prince is a printing company that charges a $14.95 set-up fee and $0.03 per copy to print brochures. Emilio is charged $32.20 to print brochures that will be distributed to promote the annual science fair. Write an equation then solve
Hello,
I hope you and your family are doing well!
To solve this problem, we can use the formula:
total cost = set-up fee + (cost per copy * number of copies)
In this case, we know the total cost and the set-up fee, and we want to find the number of copies. We can substitute these values into the formula and solve for the number of copies:
$32.20 = $14.95 + ($0.03/copy * number of copies)
Subtracting the set-up fee from both sides of the equation gives:
$17.25 = $0.03/copy * number of copies
Dividing both sides of the equation by the cost per copy gives:
number of copies = $17.25 / $0.03/copy = 575 copies
So Emilio was charged $32.20 to print 575 copies of the brochures.
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Happy Holidays!
Write the simplest polynomial function with the given root: -5, square root of 2, and -3i.
The needed 3rd-degree polynomial function with real coefficients matching the specified constraints will be y=-5x³+10x²-45x+90.
What is polynomial?A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. Polynomials are sums of k-x^n terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial.
Here,
y=-5(x-2)(x-3i)(x+3i)
y=-5(x-2)(x²+9)
y=-5(x³-2x²+9x-18)
y=-5x³+10x²-45x+90
The required 3rd-degree polynomial function with real coefficients satisfying the given conditions will be y=-5x³+10x²-45x+90.
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The following figure was drawn using a straightedge and a compass. Where was the point of the compass located in order to make the arcs?
1. points X and Y
2. point D
3. point C
4. points A and B
The point of the compass located in order to make the arcs is points X and Y.
Define arc.An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc. A circle contains an arc. For instance, a quarter-circle and a semicircle are both examples of arcs. A minor arc is one that is smaller than half of the circle it is a part of, or less than a semicircle, whereas a major arc is one that is more than half of its circle.
Given
The following figure was drawn using a straightedge and a compass.
The point of the compass located in order to make the arcs:
1. points X and Y
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A triangle has angle measures of 45 degrees, 45 degrees, and 90 degrees. Which statement is true about the lengths of the sides? Each side has a different length. Two sides have the same length, which is less than the length of the third side. The three sides have the same length. The sum of the lengths of two sides is equal to the length of the third side.
The sum of the lengths of two sides is equal to the length of the third side is 45°.
What is Triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.As we discussed in the introduction, a triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry. Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.To learn more about vertex of the triangle refer to:
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