In the trapezoid below, x = [ ? ].
2x+6
I
5x=20
4r+2

Answer: y = -2x + 9

Step-by-step explanation:

Points through which the line passes through are:  (-2,13) and (4,1)

The slop intercept form will be in terms of:

y = mx + c

Find m first which is the slope:

= (Y₂ - Y₁) / (X₂ - X₁)

= (1 - 13) / (4 - (-2))

= -12 / 6

= -2

Using a point on the line and the slope, calculate c which is the y intercept:

Using point  (-2,13) :

y = mx + c

13 = -2 * -2 + c

13 = 4 + c

c = 13 - 4

c = 9

Slope intercept form of line is therefore:

y = -2x + 9

Answer:

Step-by-step explanation:

Volume formula will be:

where V - volume, k - coefficient of proportion, r² - squared radius, h - height

Substitute the known values to find the unknown:

Now find the volume of the taller can:

Correct option is A

A=113.0

Hope it helps guys!! :)

Answer:

c 4 cal per minute

Step-by-step explanation:

because they burn 40 cal per 10 min and 40÷10 is 4 so 4 cal per 1 min

Answer:

the slope is 1

Step-by-step explanation:

left to right is positive and from the first dot it's one up and one over or 1/1 and that continues all the way up

Answer:

here is your answer

Step-by-step explanation:

i.think this is a wrong question

Answer:

Step-by-step explanation:

a) 14x

b)-40c

c)8n

d)28x

e)8n

f)-15/2y= - 7 1/2 y

Answer:

150 plz brainliest

Step-by-step explanation:

10^4 = 10000

10000 (4.5) = 45,000

45,000/300 = 150

Step-by-step explanation:

mmi got the answer .as : 1

time=1

Answer:

[tex]d - 2 = 7.50[/tex]

$9.50

Step-by-step explanation:

Given that:

Money paid by Mr. Green for a set of dry erase markers = $7.50

Coupon used for the purchase = $2.00

To find:

The equation and solution to represent the difference the original price [tex]d[/tex] of the markers and the coupon.

Solution:

Given that, the original price of the dry erase markers = $[tex]d[/tex]

Coupon amount = $2.00

Amount paid = $7.50

The equation can be made by subtracting the coupon amount from the original price and comparing it with the amount paid by Mr. Green for the purchase.

Original price = $([tex]d[/tex] - 2)

[tex]d - 2 = 7.50[/tex]

Solving the above equation by adding 2 on both the sides:

[tex]d -2+2= 7.50+2\\\Rightarrow d = \$9.50[/tex]

Answer:

1) $40

2) $12.80

3) $19.20

Step-by-step explanation:

(a) find:  8 is 20% of what number

use proportion:    is   = percent

                            of           100

is = 8

of = what you're solving for, let's say 'x'

20% = 20/100

8  = 20

x       100

cross-multiply:  20x = 800

x = 40

(b)  money spent on fares:  32% of 40 is what number?

32 =   y

100      40

1280 = 100y

y = 12.80

3)  40 - (8.0 + 12.80) =  40 - 20.8 = 19.20

Step-by-step explanation:

c²=24²+45²=2601

so c=51

Answer:

The center for the distribution of scores appears to be higher for subject B than for subject A.

The mean of the distribution when  X represent the score on a randomly selected exam so here the mean be like 2.95.

Since

Column 1 is labeled score with entries 1, 2, 3, 4, 5.

Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.

So it be like

= (0.18) (1) + (0.20) (2) + (0.26) (3) + (0.21) (4) + (0.15) (5)

= 0.18 + 0.40 + 0.78 + 0.84 + 0.75

= 2.95

Hence, the third option is correct.

Learn more about mean here; https://brainly.com/question/16616666

Answer:

they need a stimlus check

Step-by-step explanation:

facts

Answer:

c (100)

Step-by-step explanation:

on edg 2021 ^u^

The width of the tower at the top will be 92 m. Then the correct option is B.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

A cooling tower is 120 meters tall.

The sides of the tower are in the shape of a hyperbola defined by the equation x²/500 – y²/900 = 1 with units in meters.

The center of the tower is at the origin.

Then the width of the tower at the top will be

x²/500 – (120)²/900 = 1

x²/500 – 14400/900 = 1

              x²/500 – 16 = 1

                      x²/500 = 1 + 16

                      x²/500 = 17

                              x² = 8500

                                x = 92.19 ≈ 92 m

Then the correct option is B.

More about the hyperbola link is given below.

https://brainly.com/question/12919612

#SPJ2

Step-by-step explanation:

y = 8x² + 8x - 96

y = 8(x² + x - 12)

y = 8(x + 4)(x - 3)

When y = 0, 8(x + 4)(x - 3) = 0.

=> x = -4 or x = 3. (B)

x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think

Answer:

Step-by-step explanation:

Part A

When dividing 744 ÷ 40, the first digit of the quotient will be in what place?

Hundreds ✔️

Tens  ❌

Ones  ❌

Thousands

Part B

How many apples will be in each basket? Enter your answer in the box.

Apple in each box = 186

Part C

How many apples will be left? Enter your answer in the box.

Apple will be left = 0

Please Tell If Wrong Because I used a piece of paper

There are 18 apples in each basket from the given situation.

Given that, Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Part A:

744 ÷ 40

40 | 744 | 18

      40

   _____

      344
      320
   _____

       24

The first digit of quotient 18 is in tens place.

Part B:

There are 18 apples in each basket.

Part C:

There are 24 apples will be left.

Therefore, there are 18 apples in each basket from the given situation.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

The solution to the system of equation is (1,-4)

Step-by-step explanation:

Here, we want to find the solution to the system of equations

Since we have y in both places, we can equate the two

That would be;

-x-3 = -7x + 3

-x + 7x = 3 + 3

6x = 6

x = 6/6

x = 1

y = -x - 3

y = -1 -3

y = -4

So the solution to the system of equations is (1,-4)

Answer:

59

Step-by-step explanation:

4^2 +5*3^2 -4^2 / 2^3

order of operations says to do first parenthesis, exponents, then division and multiplication

first the exponents

4^2 = 16

3^2= 9

4^2=16

2^3=8

16+ 5*9-16/8

then multiply 5*9

=16+ 45 -16/8

simplify the fraction

=16+ 45 -2

add them

=59

i hope this helps

Answer:

It is three.................

30 ÷ 3 = 3

Hope this helps :)

Answer:

x=17

y=9

Step-by-step explanation:

set 3x-4=5x-38

-2x=-34

x=17

plug x back into equa.= 47 degrees

180-90(right angle)-47=43

7y-20=43

7y=63

y=9

Answer:

x  =  1.09 ,  − 0.46

Step-by-step explanation:

→ Factorise 8x² - 5x - 4

Not possible by factorisation

→ Substitute values into quadratic formula

x  =  1.09 ,  − 0.46

Answer:

The answer is $9.67.

Step-by-step explanation:

Notebooks: 5 * 1.29 = 6.45

Pens: 2 * 1.19 = 2.38

Pencils: 12 * 0.05 = 0.60

Erasers: 6 * 0.15 = 0.90

Total: 6.45 + 2.38 + 0.60 + 0.90 = 10.33

Change: 20 - 10.33 = 9.67

Answer:

Step-by-step explanation:

-3/2x

opposite reciprocal of 2/3 would be -3/2

hope this helps <3

Question:

Which set of ordered pairs (x,y) could represent a linear function?

[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]

[tex]\mathbf{B}= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\}[/tex]

[tex]\mathbf{C}= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\}[/tex]

[tex]\mathbf{D}= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\}[/tex]

Answer:

[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]

Step-by-step explanation:

Given

Ordered pairs A - D

Required

Which represents a linear function?

To do this, we simply calculate the slope (m) of each ordered pairs.

[tex]m = \frac{y_2 - y_1}{x_2-x_1}[/tex]

Considering A:

[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]

Consider the following pairs

[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (4,5)[/tex]

[tex]m = \frac{5 - 9}{4 -2} = \frac{-4}{2} = -2[/tex]

Consider the another pairs

[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (6,1)[/tex]

[tex]m = \frac{1 - 9}{6 -2} = \frac{-8}{4} = -2[/tex]

Consider the another pairs

[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (7,-1)[/tex]

[tex]m = \frac{-1 - 9}{7 -2} = \frac{-10}{5} = -2[/tex]

The slope is uniform all through.

i.e.

[tex]m = -2[/tex]

Hence, this can be a linear function

Considering B:

[tex]\mathbf{B}= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\}[/tex]

Consider the following pairs

[tex](x_1,y_1) = (-1,-8)[/tex] and [tex](x_2,y_2) = (0,-3)[/tex]

[tex]m = \frac{-3 - (-8)}{0 - (-1)} = \frac{-3 +8}{0 +1} = \frac{5}{1} = 5[/tex]

Consider the another pairs

[tex](x_1,y_1) = (-1,-8)[/tex] and [tex](x_2,y_2) = (1,3)[/tex]

[tex]m = \frac{3 - (-8)}{1 - (-1)} = \frac{3 +8}{1 +1} = \frac{11}{2} = 5.5[/tex]

The calculated slopes are not equal.

i.e.

[tex]m = 5[/tex] and [tex]m = 5.5[/tex]

Hence, this can't be a linear function

Considering C:

[tex]\mathbf{C}= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\}[/tex]

Consider the following pairs

[tex](x_1,y_1) = (-9,5)[/tex] and [tex](x_2,y_2) = (-3,3)[/tex]

[tex]m=\frac{3-5}{-3-(-9)} = \frac{3-5}{-3+9} = \frac{-2}{6} = -\frac{1}{3}[/tex]

Consider the another pairs

[tex](x_1,y_1) = (-9,5)[/tex] and [tex](x_2,y_2) = (3,0)[/tex]

[tex]m=\frac{0-5}{3-(-9)} = \frac{0-5}{3+9} = \frac{-5}{12} = -\frac{5}{12}[/tex]

The calculated slopes are not equal.

i.e.

[tex]m = -\frac{5}{12}[/tex] and [tex]m = -\frac{1}{3}[/tex]

Hence, this can't be a linear function

Considering D:

[tex]\mathbf{D}= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\}[/tex]

Consider the following pairs

[tex](x_1,y_1) = (1,-8)[/tex] and [tex](x_2,y_2) = (2,-6)[/tex]

[tex]m = \frac{-6 - (-8)}{2 - 1} = \frac{6 + 8}{1} = \frac{14}{1} = 14[/tex]

Consider the another pairs

[tex](x_1,y_1) = (1,-8)[/tex] and [tex](x_2,y_2) = (3,-3)[/tex]

[tex]m = \frac{3 - (-8)}{-3 - 1} = \frac{3 + 8}{-4} = \frac{11}{-4} = -\frac{11}{4}[/tex]

The calculated slopes are not equal.

i.e.

[tex]m = -\frac{11}{4}[/tex] and [tex]m = 14[/tex]

Hence, this can't be a linear function

From the calculations above:

Only (A) can be a linear function

Answer:

Step-by-step explanation:

Answer and Step-by-step explanation:

To find the surface area, all you have to do is find the area of each face of the prism, and then add them all together.

15 x 20 = 300

(15 x 8)/2 = 60

(15 x 8)/2 = 60

(There are two triangles)

8 x 20 = 160

20 x 17 = 340

Now, add them all together.

300 + 60 + 60 + 160 + 340 = 920

The surface area of the prism is 920 [tex]units^{2}[/tex]

#teamtrees #WAP (Water And Plant)

Answer:

18÷18÷18

=0.05555555555