What is the area of the trapezoid shown below?

Answer (assuming the equation can be written in point-slope form):

[tex]y-2 = -\frac{3}{2}(x+6)[/tex]

Step-by-step explanation:  

When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].

1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:

[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]

Thus, the slope is [tex]-\frac{3}{2}[/tex].

2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for

[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]

Answer:

5.9

Step-by-step explanation:

Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use

[tex] {4}^{2} + {4}^{2} = {c}^{2} [/tex]

which simplify to

[tex]16 + 16 = {c}^{2} [/tex]

[tex]32 = {c}^{2} [/tex]

[tex] \sqrt{32} [/tex]

which is about 5.9

Answer:

it's a perfect cube only....

Complete Question

William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?

a) 1.25p−0.9≤7.5

b) 1.25p+0.9≤7.5

c) 1.25p+0.9≥7.5

d) 1.25+0.9p≤7.5

Answer:

b) 1.25p+0.9≤7.5

Step-by-step explanation:

William has $7.50 to spend at the pretzel shop.

This means Williams can spend at least $7.50

A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and ?pretzel

Therefore, the inequality can be used to find the number of pretzels William can buy is written as

1.25p+0.9≤7.5

Option b is the correct option

Answer: f(x)= -3x 2 -5x +8

Step-by-step explanation:

Answer:

46% of 127 is 58.42

Step-by-step explanation:

46/100 = x/127

Cross multiply

46 × 127 = 100 × x

5,842 = 100x

Divide both sides by 100

58.42 = x

Answer:

X= 14x

Step-by-step explanation:

Answer:

x=12°

Step-by-step explanation:

(10x-20°)+(6x+8°)=180°

16x-12°=180°

16x=192°

x=192°/16°

x=12°

Step-by-step explanation:

Hinton's editor, Velma Varner, advocates new names for both author and ..

=====================================================

Explanation:

We can rewrite x^3y^2 into x*x^2*y^2

We can rewrite xy^5 into x*y^2*y^3

Note how x*x^2*y^2 and x*y^2*y^3 both have an x in common. So that means x is part of the GCF.

Similarly, x*x^2*y^2 and x*y^2*y^3 have y^2 in common as well.

Overall, both original expressions contain x and y^2 which leads to the overall GCF being xy^2

Answer:

y=  -x+1

Step-by-step explanation:

y=mx+b

-1(4)+b=-3

-4+b=-3

b=1

y= -x+1

Answer:

no quema cuh

Step-by-step explanation:

30 with the remainder of 714

Answer:

280 trees on a 1.5 acre plot

Step-by-step explanation:

It has more trees with less acres already without any calculations.

Answer:

4x-5y=-10

Step-by-step explanation:

The standard form of a linear equation is Ax+By=CAx+By=C.

Multiply both sides by 55.

5y=5(45x+2)5y=5(45x+2)

Simplify 5(45x+2)5(45x+2).

Tap for more steps...

5y=4x+105y=4x+10

Rewrite the equation with the sides flipped.

4x+10=5y4x+10=5y

Move all terms containing variables to the left side of the equation.

4x−5y+10=04x-5y+10=0

Subtract 1010 from both sides of the equation.

4x−5y=−104x-5y=-10

Answer:

12 months

Step-by-step explanation:

Given data

Gym A

charges $25 per month plus a $60 initiation fee

let the number of months be x

and the total charges be y

y= 60+25x---------------1

Gym B

charges $30 per month and no initiation fee

let the number of months be x

and the total charges be y

y=30x---------------2

Equate 1 and 2 above to find x

60+25x= 30x

collect like terms

60= 30x-25x

60= 5x

divide both sides by 5

x= 60/5

x= 12

Hence it will take 12 months

Answer:

48

Step-by-step explanation:

57 + 27 = 84

180 - 84 = 96

96 ÷ 2 = 48

10 is the answer for the blank

Answer:

12. Not Linear

14. Linear

16. Linear

18. Not Linear

Step-by-step explanation:

Answer:

associative prop. of multiplication

Step-by-step explanation:

Answer:

446565688987888888 ti ifyx

Answer:

Length

Step-by-step explanation:

I believe its because they are corresponding angles

Answer:

I love algebra anyways

the ans is in the picture with the steps

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I am serious because they are the same angle. Can someone help me with my question plz

Answer:

40 candies

Step-by-step explanation:

0.25 x 4= 1.00

0.25 x 40= 10.00

Answer:

13

Step-by-step explanation:

The coeficcent of a term xa where a is the variable is x. Thus 13a results in 13 as the coeficcent

Answer:

Step-by-step explanation:

The coefficient is the constant multiple of a which is 13.