Answer:
C
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant , that is
ML × KM = MN × MR, substitute values
7 × KM = 6(6 + 8)
7 KM = 6 × 14 = 84 ( divide both sides by 7 )
KM = 12 → C
Answer:
C.) 12
Step-by-step explanation:
I got it correct on founders edtell
The number of solutions of |x - 1| + |x - 3| = 2 is
Answer:
There are 3 intervals as following:
x ≤ 1
-(x - 1) - (x - 3) = 2-2x + 4 = 22x = 2x = 11 ≤ x ≤3
(x - 1) - (x - 3) = 22 = 2, any value of x in the same intervalx ≥ 3
(x - 1) + (x - 3) = 22x - 4 = 22x = 6x = 3Combining the all, we get:
1 ≤ x ≤3 or x = [1, 3]This is the recursive formula for a geometric sequence:
f(1)=8,000
f(n)=1/2(n − 1), for n > 2
What is the fifth term in the sequence?
Answer:
Step-by-step explanation:
f(1) = 8000
f(2) = 1/2(n - 1)
f(2) = 1/2(2 - 1)
f(2) = 1/2 Note: this really does not make sense. I think what you mean is 1/2*f(n-1). If this is true, leave a note within the next hour.
Answer:
f(5) = 500
Step-by-step explanation:
Using the recursive rule and f(1) = 8000 , then
f(2) = [tex]\frac{1}{2}[/tex] f(1) = [tex]\frac{1}{2}[/tex] × 8000 = 4000
f(3) = [tex]\frac{1}{2}[/tex] f(2) = [tex]\frac{1}{2}[/tex] × 4000 = 2000
f(4) = [tex]\frac{1}{2}[/tex] f(3) = [tex]\frac{1}{2}[/tex] × 2000 = 1000
f(5) = [tex]\frac{1}{2}[/tex] f(4) = [tex]\frac{1}{2}[/tex] × 1000 = 500
The square of y varies directly as the cube of x.When x=4 y=2.Which equation can be used to find other combinations of x and y
Answer:
y² = (1/16)x³
Step-by-step explanation:
Given that :
y² varies directly as the cube of x
y² α x³
y² = kx³ - - - (1)
Where, k = constant of f proportionality
We can obtain the value of k ; when x= 4 and y = 2
2² = k4³
4 = 64k
k = 4/64
k = 1/16
Putting k = 1/16 in (1)
y² = (1/16)x³
State the slope of the line shown below (help ASAP)
Is it a, b, c or d?
Answer:
D
Step-by-step explanation:
(the above graph depicts a horizontal line that intersects the y axis at -2)
(so, y = -2)
Answer:
0
Step-by-step explanation:
Horizontal line x axis is 0 while the vertical y axis is undefined.
Why 1975 can't be the sum of two squares. Or prove that the equality x ^ 2 + y ^ 2 = 1975 has no solutions in integers
Answer:
Step-by-step explanation:
If a number can be expressed by sum of two square, only if the number can be represented by 4k + 1 form
1975 = 4*493 + 3
So, 1975 can't be a sum of two squares
Please solve the problem
Treat the matrices on the right side of each equation like you would a constant.
Let 2X + Y = A and 3X - 4Y = B.
Then you can eliminate Y by taking the sum
4A + B = 4 (2X + Y) + (3X - 4Y) = 11X
==> X = (4A + B)/11
Similarly, you can eliminate X by using
-3A + 2B = -3 (2X + Y) + 2 (3X - 4Y) = -11Y
==> Y = (3A - 2B)/11
It follows that
[tex]X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}[/tex]
Similarly, you would find
[tex]Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}[/tex]
You can solve the second system in the same fashion. You would end up with
[tex]P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}[/tex]
Step-by-step explanation:
hence it has been done . check the file .
hope this helped you
any problem then comment it .
Which equation can be used to find the unknown length, b, in this triangle?
Answer: Choice A
4^2 + b^2 = 5^2
This is due to the pythagorean theorem.
Help? Please! I need hElppz
Answer:
-29Step-by-step explanation:
- 22 - □ = 7
=> - 22 - 7 = □
=> - 29 = □
=> □ = - 29 (Ans)
Which statement is true about figures ABCD and A'B'C'D'?
у
5
4
c
3/
D'
B
2
1 2 3 4 5
1
A
-5 -4 -3 -2 -1 0
AS - 1
-2
D
B
с
-41
-31
When figures are translated, rotated or reflected, the resulting figures are congruent to the original figure because the transformations are rigid. However, when a figure is dilated, the resulting figure is not congruent to the original figure.
ABCD and A'B'C'D are congruent because A'B'C'D is the result of rotating ABCD 180 degrees about the origin.
I've included the missing graph as an attachment.
Using points A and A' as our references.
We have:
[tex]A = (-1,1)[/tex]
[tex]A' = (1,-1)[/tex]
The rule of rotation 180 degrees about the origin is:
[tex](x,y) \to (-x,-y)[/tex]
So, we have:
[tex](-1,1) \to (-(-1),-1)[/tex]
[tex](-1,1) \to (1,-1)[/tex]
The above rule is applicable to other points in ABCD and A'B'C'D'
Since the rule of transformation is rotation (a rigid transformation), then ABCD and A'B'C'D are congruent.
Read more at:
https://brainly.com/question/9475847
1.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
A. exponential; y = –6 • 1.5x
B. quadratic; y = –x2
C. exponential; y = 6 • 2.5x
D. linear; y = –3x – 6
Answer:
D. linear; y = –3x – 6
B. quadratic; y = –x2
Step-by-step explanation:
Let
A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)
using a graph tool
see the attached figure N 1
case a) exponential
see the attached figure N 2
case b) quadratic
see the attached figure N 3
case c) linear
see the attached figure N 4
case d) linear
see the attached figure N 5
therefore
the answer is
the case c) linear
...............................................................................................................................................
Answer:
For the first part
What type of function best models the data in the graph?
✔ quadratic
y = 0.433x2 for the second part.
...............................................................................................................................................
Answer:
Option (2).
Step-by-step explanation:
From the figure attached,
Since there is a common difference in each successive term and previous term of y,
= -3
= -3
Therefore, this data represents a linear equation.
Now we choose two points from the table given.
Let the points are (0, -6) and (1, -9)
Slope of this line 'm' =
m = = -3
Y-intercept 'b' = -6
Equation of the line will be,
y = -3x - 6
Option (2) will be the answer.
how do i solve this?
Answer:
f(3) = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 4
Step 2: Evaluate
Substitute in x [Function f(x)]: f(3) = 2(3) - 4Multiply: f(3) = 6 - 4Subtract: f(3) = 2((3.55)^2+(4.12)^2+(4.41)^2)/2(3.55)*(4.12)
Answer:
((3.55)^2+(4.12)^2+(4.41)^2)/2(3.55)*(4.12)
=358.519825
Step-by-step explanation:
I just used this website called mathpapa.com, extremely useful for algebra calculations. Here's the link if you need it
https://www.mathpapa.com/algebra-calculator.html
John and Pablo caught fish that have the lengths, in centimeters, listed below. 45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44 Which box-and-whisker plot correctly represents the data?
The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.
Answer:
Step-by-step explanation:
Given :
45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44
Using technology, the box and whisker plot generated for the data is attached below.
The 5 - number summary is also given below :
Minimum: 39
Median: 45
First quartile: 42
Third quartile: 47
Interquartile Range: 5
Maximum: 49
Outliers: none
Answer:
Step-by-step explanation:
which number best completes the pattern ?
17,12,7
3,7,11
21,16(?)
a. 12 b. 11 c. 8 d. 3
Answer:
11
Step-by-step explanation:
the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.
I hope this helps
Answer:
b
Step-by-step explanation:
The first series has a patten which is an=a(n-1)-5. The second series follow the pattern which is an=a(n-1)+4. The third series follow the pattern an=a(n-1)+5. So 16-5=11.
what is the value for f(x)4^2x -100 when x=2 ?
(the ^2x is a exponent)
Answer:
156
Step-by-step explanation:
f(x)= 4^(2x) -100
Let x =2
f(2)= 4^(2*2) -100
= 4^4 - 100
= 256 -100
= 156
Jo bought a used car for $6000 and paid a 15% deposit. How much did he still have to pay?
Answer:
900 is the correct awnser
1.Waheeda mixes water with some lemon juice to make lemonade. Write an equation to represent how much lemon juice is needed when Waheeda uses 18 ounces of water.
2. Identify the independent and dependent variables in the situation.
Independent variable: Dependent variable: b) Write an equation representing the amount Waheeda earns in relation to the number of glasses of lemonade she sells.
Equation: c) In which Quadrant of a graph would her data appear? Explain.
1. The equation is 18 = 3 × x
2. a) The independent variable is the of ounces of lemon juice in the lemonade
b) A = a × b
c) First quadrant
The procedure to find the above answers are presented here as follows;
1. The following is the table of values of the data
[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]
The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;
y ∝ x
∴ y = k × x
Where;
k = The constant of proportionality
k = y/x
Therefore;
k = 6/2 = 9/3 = 12/4 = 15/5 = 3
k = 3
y = k × x
∴ y = 3 × x
Therefore;
The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water is given by placing y = 18 in y = 3 × x as to get;
18 = 3 × x
∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water
2. The independent variable is the input or causing variable that determines the output variable
Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade
b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;
A = a × b
c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant
Learn more about dependent and independent variable here;
https://brainly.com/question/18456313
[tex](a+b)^{2}[/tex]
Answer:
[tex] ({a + b})^{2} [/tex]
[tex](a + b)(a + b)[/tex]
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
hope this help you
What is the standard form for the quadratic function? g(x)=(x−6)2−5
Answer:
x^2-12x+31
Step-by-step explanation:
Standard form of the quadratic equation (x-6)^2-5 is x^2-12x+36-5=x^2-12x+31
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
x3 feet
5 + 11x2 feet
5x2 + 11 feet
5x3 + 11x5 feet
Answer:
the answer is 5×3+11×5 feet
Answer:
4th option
Step-by-step explanation:
An equilateral triangle has 3 congruent sides
Divide the perimeter by 3 for length of side
[tex]\frac{15x^3+33x^5}{3}[/tex]
= [tex]\frac{15x^3}{3}[/tex] + [tex]\frac{33x^5}{3}[/tex]
= 5x³ + 11[tex]x^{5}[/tex] ← length of 1 side
Which of the following could be the value of xy if y = 7and x>7?
Answer:
Any number greater than 49.
Step-by-step explanation:
Since 7>0 then multiplying both sides of x>7 by 7 will not effect the direction of the inequality.
If x>7, then 7x>7(7) or 7x>49 after simplifying.
Substituting y for 7 since y=7 gives yx>49.
By commutative property of multiplication we have xy>49.
So any number greater than 49.
hlp pleassssssssssssssssssssss
Answer:
Volume of a cube is s×s×s
hence 7 cube=343
343 is the answer. Hope this helps you. Good luck^_^
Find the length of the third side. If necessary, round to the nearest tenth. 5 10
Answer:
[tex]\boxed {\boxed {\sf 8.7}}[/tex]
Step-by-step explanation:
We are asked to find the length of the third side in a triangle, given the other 2 sides.
Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.
[tex]a^2 + b^2 =c^2[/tex]
In this theorem, a and b are the legs of the triangle and c is the hypotenuse.
We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.
b= 5 c= 10Substitute the values into the formula.
[tex]a^2 + (5)^2 = (10)^2[/tex]
Solve the exponents.
(5)²= 5*5 = 25 (10)²= 10*10= 100[tex]a^2 + 25=100[/tex]
We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.
[tex]a^2 +25-25=100-25[/tex]
[tex]a^2=100-25[/tex]
[tex]a^2 = 75[/tex]
a is being squared. The inverse of a square is the square root, so we take the square root of both sides.
[tex]\sqrt {a^2}= \sqrt{75}[/tex]
[tex]a= \sqrt{75}[/tex]
[tex]a= 8.660254038[/tex]
Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.
[tex]a \approx 8.7[/tex]
The length of the third side is approximately 8.7
Using Pythagorean theorem
[tex]\boxed{\sf B^2=H^2-P^2}[/tex]
Putting values[tex]\\ \sf \longmapsto B^2=10^2-5^2[/tex]
[tex]\\ \sf \longmapsto B^2=100-25[/tex]
[tex]\\ \sf \longmapsto B^2=75[/tex]
[tex]\\ \sf \longmapsto B=\sqrt{75}[/tex]
[tex]\\ \sf \longmapsto B=\sqrt{25\times 3}[/tex]
[tex]\\ \sf \longmapsto B=5\sqrt{3}[/tex]
[tex]\\ \sf \longmapsto B=5\times 1.732[/tex]
[tex]\\ \sf \longmapsto B=8.66[/tex]
[tex]\\ \sf \longmapsto B\approx 8.7[/tex]
C. Examine the hourglasses (A), (B), and (C) and
find the best answer.
6
(A)
(B)
.(C)
6
a) (B) shows the most time passed.
b) (A) shows the most time passed.
c) (C) shows the most time passed.
d) (A), (B), and (C) show the same time passed.
6
Answer:add a screenshot
Step-by-step explanation:
I can't see the our glasses
What’s this topic called
Answer: MATH
Step-by-step explanation:
Answer:
answer for the question is
x = 1
y = 4
subject is math btw if you are asking about that
Jon and Kristen are both increasing the number of minutes they jog each day, as shown in the tables.
Jon
Day Minutes
0 15
1 17
2 19
3 21
Kristen
Day Minutes
0 22
1 23
2 24
3 25
Which system of linear equations could be used to determine which day they will jog for the same number of minutes, where d represents the day and m represents the number of minutes?
Answer:
A system of linear equations that could be used to determine which day they will jog the same number of minutes is presented as follows;
m = 2·d + 15
m = d + 22
Step-by-step explanation:
The table of values for the number of minutes Jon and Kristen jog each day is presented as follows;
Jon
[tex]\begin{array}{ccc}Day&&Minutes\\0&&15\\1&&17\\2&&19\\3&&21\end{array}[/tex]
Kristen
[tex]\begin{array}{ccc}Day&&Minutes\\0&&22\\1&&23\\2&&24\\3&&25\end{array}[/tex]
The slope of the data representing Jon's data, m = (21 - 15)/(3 - 0) = 2
Therefore, the equation representing Jon's data is given as follows;
m - 15 = 2·d
m = 2·d + 15
The slope of the data representing Kristen's data, m = (25 - 22)/(3 - 0) = 1
Therefore, the equation representing Kristen's data is given as follows;
m - 22 = d
∴ m = d + 22
The system of linear equations that could be used to determine which day they will jog the same number of minutes is therefore;
m = 2·d + 15
m = d + 22
The answer is in the picture below!
Square inscribed in a circle with radius 16.
I’ll mark u as a brainliest!!
Answer:
if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)
Can someone explain this
Answer:
x=30/tan(22)
x= 74.2526056
Step-by-step explanation:
please help! need answers in order to move on:) will give brainliest if you are correct!
Answer:
1) [tex]x^{2/3}[/tex]
[tex]3[/tex] → index
[tex]\sqrt[3]{x^{2} }[/tex]
[tex]Index: 3[/tex]
----------------
2) [tex]7^{5/4}[/tex]
[tex]=\sqrt[4]{7^{5} }[/tex]
[tex]=(\sqrt[4]{7})^{5}[/tex]
----------------
3) [tex]\sqrt[7]{2^{3} }[/tex]
[tex]=(2^{3} )^{1/7}[/tex] [tex][\sqrt[x]{n} =n^{1/n} ][/tex]
[tex]=2^{3/7}[/tex]
----------------
3) [tex]\sqrt[12]{8^{4} }[/tex]
[tex]y=(8^{4} )^{1/12}[/tex]
[tex]y=(8)^{1/3}[/tex]
[tex]y=(2)^{3\times 1/3}[/tex]
[tex]y=2[/tex]
------------------
4) [tex]128^{3/7}[/tex]
[tex]=\sqrt[7]{2\times 2\times2\times 2\times 2\times2\times 2}[/tex]
[tex]=(2)^{3}[/tex]
[tex]=8[/tex]
----------------------
OAmalOHopeO
A payday loan store charges $25 for a one-month loan of $600. What annual interest rate is this equivalent to?
Answer:
50%
Step-by-step explanation:
1. determine the monthly interest rate
monthly interest rate = interest / loan amount
monthly interest = 25 / 600 = 4.17%
2, multiply the monthly interest rate by 12 to determine the annual interest rate
Annual interest = 4.17 x 12 = 0.5 = 50%