What is the difference between the ordinates of the points ( -2 , 3 ) and ( 5, 8 ) ?
Answer:
the difference in the coordinate points is (7, 5)
Step-by-step explanation:
Given;
first coordinate point, (x₁, y₁) = (-2, 3)
second coordinate point, (x₂, y₂) = (5, 8)
The difference in the coordinate points is calculated as follows;
Δ(x, y) = (x₂ - x₁, y₂ - y₁)
= (5 - -2, 8 - 3)
= (7, 5)
Therefore, the difference in the coordinate points is (7, 5)
What is the best name for the figure with vertices at the following coordinates?
(0,0), (-1, 1), (6, 1), and (2, 0)
A.
rectangle
B.
square
C.
trapezoid
D.
rhombus
Answer: C) Trapezoid
Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.
The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the coordinates of the figure be represented as ABCD
Now , the vertices of the figure is
A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )
On plotting the coordinates in the graph , we get a trapezoid with
The longer base = BC
The shorter base = AD
So , the figure is a trapezoid
Hence , the vertices represents a trapezoid
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Mariya is solving the quadratic equation by completing the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
Mariya is solving the quadratic equation by completing the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
What is the value of A?
-20
3
4
5
Answer:
4
Step-by-step explanation:
just 4 -_-
4x^2-20x
=4(x^2-5x)
so the value is 4
By solving the quadratic equation, the value of A is 4
Option (3) is correct.
What is a quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.
Given quadratic equation
[tex]4x^{2} -20x+3=0[/tex]
⇒ [tex]4x^{2} -20x=-3[/tex]
By taking 4 as common in [tex]4 x^{2}[/tex] and 20x
⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)
According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)
By comparing equation 1 and 2 we can clearly see that A = 4
Hence, by solving the quadratic equation, the value of A is 4
Option (3) is correct.
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Find the value of the following expression using suitable properties of whole numbers
and name the property used.
789 × 175 – 75 × 789
Given:
The expression is:
[tex]789\times 175-75\times 789[/tex]
To find:
The value of the given expression by using the suitable properties of whole numbers.
Solution:
We have,
[tex]789\times 175-75\times 789[/tex]
Using the commutative property of multiplication, we get
[tex]789\times 175-75\times 789=789\times 175-789\times 75[/tex]
Using the distributive property of addition over multiplication, we get
[tex]789\times 175-75\times 789=789\times (175-75)[/tex]
[tex]789\times 175-75\times 789=789\times 100[/tex]
[tex]789\times 175-75\times 789=78900[/tex]
Therefore, the value of the given expression is 78900.
A train traveling at a speed of 160 km / hr will take 18 hours to cover between two cities . How long will it take a car travelling at 120 km/hr to cover the same distance
Answer:
24 hours
Step-by-step explanation:
160 x 18 = 2880
2880/120 = 24
Find the median of the following data 8,6,10,12,14
Answer:
10
Step-by-step explanation:
medium is the number in the middle when all numbers are arranged in ascending order.
Answer:
10
Step-by-step explanation:
first arrange the data from ascending to descending order.
data = 6,8,10,12,14
median = N +1/2 (N means no of data)
=5 + 1/2
=6/2
=3 th term
=10
therefore median is 10
point to remember : if u are are to find the first quartile , median , or third quartile then u should arrange the data from ascending to descending order .
im confused pls help......
Answer:
the answer is B
Step-by-step explanation:
I think it's B because it was just because the reporter got then skiers from florida
Evaluate the following expression. 4x2+6
hurrrrrryyyy aaahhhh
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
B
Step-by-step explanation:
√256=16
√289=17
Answer:
b.√256 and √289 . play basketball
A jazz concert brought in $167,000 on the sale of 8,200 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
Answer:
x=3800, y=4400
Step-by-step explanation:
X+y=8200 equation 1
15x+25y=167000 equation 2
x=8200-y isolate x in equation 1
15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2
123000-15y+25y=167000
10y=44000
y=4400
solve for x by inserting y value into either equation.
x+y=8200
x+4400=8200
x=3800
Check answer:
15x+25y=167000
15(3800)+25(4400)=167000
57000+110000
167000=167000
What is the coefficient in the expression 10x^3-7?
Answer:
10 :)
Step-by-step explanation:
I hope this helped :)
PLEASE HELP. !!!!!!
the 4th option is “A translation 2 units left and 1 unit up
7th grade math help me pleaseeee
Answer:
option A
Step-by-step explanation:
Distance from earth to moon = 2.4 × 10⁵ miles
Distance from earth to sun = 9.3 × 10⁷
x × 2.4 × 10⁵ = 9.3 × 10⁷
[tex]x = \frac{9.3 \times 10^7}{2.4 \times 10^5}[/tex]
[tex]=\frac{9.3}{2.4} \times 10^2\\\\=3.875 \times 10^2\\\\=3.9 \times 10^2[/tex]
The distance from the earth to the sun is 3.9 × 10² times distance from the earth the moon
illustrate the solution of the inequality ( x - 5) ( x + 5)≥ 0. on the number line
Answer: The diagram is shown below
==============================================================
Explanation:
If you graphed y = (x-5)(x+5) on the xy grid, then you'd see a parabola forming. This parabola has x intercepts at -5 and 5. The parabola opens upward.
If x < -5, then (x-5)(x+5) is positive. Let's say x = -6
(x-5)(x+5)
(-6-5)(-6+5)
(-11)(-1)
11
So if x = -6, then y = (x-5)(x+5) becomes 11 which is positive. If you picked any other value less than -5, then (x-5)(x+5) is positive.
Similarly, if x > 5, then (x-5)(x+5) is also positive for similar reasoning. Try x = 6 to see what happens. The actual value itself doesn't matter. All we care about is if the result is positive or negative.
It's only when -5 < x < 5 that (x-5)(x+5) is negative. Consider x = 0 which is between -5 and 5
Plugging x = 0 leads us to
(x-5)(x+5)
(0-5)(0+5)
(-5)(5)
-25
Showing that (x-5)(x+5) is negative on the interval -5 < x < 5
---------------------------------------------
Going back to the original inequality, we want to know when (x-5)(x+5) is positive or 0
We found that (x-5)(x+5) is positive when x < -5 or when x > 5
(x-5)(x+5) is equal to zero when x = -5 or x = 5
So overall, the solution we want is [tex]x \le -5 \ \text{ or } \ x \ge 5[/tex]
To graph this on a number line, we plot closed filled in circles at -5 and 5. Then we shade everything that is not between these two circles (so we shade everything except the interval -5 < x < 5).
The graph is below.
Find the value of x that makes A||B.
1
2
B
4
3
5
L1 = 3x - 160 and 24 = x + 20
x= [?]
Step-by-step explanation:
Measure angle <1=<4 letter f
Then 3x-160=x+20
2x=180
Then x=90
A 5-pack of granola bars costs $3.55. What is the unit price?
Answer:
0.71 is the unit price
Step-by-step explanation:
all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))
hope this helps!!!!
please mark brainiest<3
factorise the following (a+b)⁴-(a-b)⁴
Answer:
hope it is helpful to you
this is another answer
sorry for bad handwriting
actually its my sista handwriting
The circumference of a circle is 11x inches.
What is the area, in square inches, of the circle? Express your answer in terms of x
Show your work.
Answer:
40.6944 is your answer
Step-by-step explanation:
3.6×3.14=11: 3.6×3.6=40.6944 /41
please help me :((!!!!
Short Answer Note: Your teacher will grade your responses to questions 4-8 to ensure you receive proper credit for your answers. 4. Find the value of k. The diagram is not to scale. (I point) I need the answer as soon as possible
i just need help pls
Given:
The table of values.
To find:
The function for the given table.
Solution:
From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.
Mathematically, it can be defined as:
[tex]y=1\times x[/tex]
[tex]y=x[/tex]
Substitute [tex]y=f(x)[/tex] in the above equation to find the required function.
[tex]f(x)=x[/tex]
Therefore, the correct option is A.
What is the measure of x?
Answer:
x = 10
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
4*x = 5*8
4x = 40
Divide by 4
4x/4 = 40/4
x = 10
Point G is located at (6, 2) on the coordinate plane. Point G is reflected over the y -axis to create point G^ prime . What ordered pair describes the location of G?
Answer:
The ordered pair that best describes the location of G' is (-6,2).
Step-by-step explanation:
Reflecting a point over the y-axis:
When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:
(x,y) -> (-x,y).
Point G is located at (6, 2)
When reflected over the y-axis:
G'(-6,2).
The ordered pair that best describes the location of G' is (-6,2).
What coefficient of d makes the
expressions equivalent?
–1/3}(2.7d + 1.8) =(?-0.6)
Answer:
The coefficient of d that will make equation equal is -0.9
Step-by-step explanation:
Given
Left hand side equation = {–1/3}(2.7d + 1.8)
Simplifying LHS we get -
-0.9 d -0.6
Hence, the coefficient of d that will make equation equal is -0.9
A parking lot in the shape of a parallelogram has a length of
300 meters and a width of 150 meters. A scale drawing of the
Sarking lot has a length of 10 centimeters and a width of 5
centimeters
Answer:
C. 1 centimeter = 30 meters
[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]
Solve 5x2 = 180 algebraically.
Answer:
x = ±6
Step-by-step explanation:
5x^2 = 180
Divide each side by 5
5x^2/ 5 = 180/5
x^2 = 36
Take the square root of each side
sqrt(x^2) = ± sqrt(36)
x = ±6
Answer: x = 6 or x = -6
Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.
When we take the square root of both sides of an equation,
we must always make sure to use plus or minus!
So x = ±5 and you can write your answer as the solution set {6, -6}.
Which of these quadrilateral types must have all four sides congruent?
A. Rectangle, square
B. Parallelogram, rectangle, square, rhombus
C. Square, rhombus
D. Rectangle, square, rhombus
C. Square, a rhombus is the right answer.
What does it mean that all four sides are congruent?A rhombus is a parallelogram in which all four sides are congruent. Shaped like a diamond. A square is a parallelogram with four congruent sides and four right angles. In other words, squares are rectangles and diamonds.
Exactly all the shapes on the four sides are called squares. Each type of figure here is a square type. The lengths of the congruent sides are the same. If parallel sides are drawn as lines, they never intersect.
Two triangles are congruent If the corresponding sides have the same length and the corresponding angles are the same, then the two triangles are congruent.
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44
Match each ratio with its simplest form.
12:15
20:36
18:24
Pls answer ASAP I need to finish this today and I’m stuck
Please help me find the answers
For the mean median mode range mm max q1
Everything has been explained in there
Plsss hellppp I give brainliest but earn it
Answer:
3
Step-by-step explanation:
let the no of people who share the meal be x
each member paid $17
total cost of meal=$51
so ur equation is
$17x=$51
x=$51/$17(here $ and $ also gets cancel)
x=3
therefore three menber shared the meal.
Note:when in multiplication when u transfers the number to other side it changes into mltiplication.For example
$17=$51
here $17 is multiplied with x and when we bring $17 to right hand side it divides $51.
Answer:
[tex]17x = 51 \\ \frac{17x}{17} = \frac{51}{17} \\ x = 3[/tex]
Step-by-step explanation:
The error was that the learner subtracted both sides instead of dividing both sides. The student was supposed to divide both sides by 17 to get the answer.