Find the slope and y-intercept of the line in each graph.
PLEASE HELP ASAP

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

cos θ = 0.3333

θ = cos^(-1) 0.3333

θ = 70.5°

Answer:

C.

Step-by-step explanation:

Answer:

The equation of the line that is perpendicular to y = 2x + 2 is

y = -1/2x

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is 2

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

Answer:

6

Step-by-step explanation:

391/23=17 per hour

102/17=6 Hours

So he would have to work 6 hours to earn $102.00.

Answer:

Step-by-step explanation:

Step one:

Given data

Circle A

diamteter= 20 in

Area= 314 in^2 approx. 300in^2

Circle B

diamteter= 60 in

Area= 2826in^2 approx. 2700in^2

Step two:

Circle C

diamteter= 40 in

radius= 20 in

The expression for A is given as

A=πr^2

A=3.142*20^2

A=3.142*400

A=1256.8

The area of circle C is 1256.8in^2

Answer:

the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

Answer:

18

Step-by-step explanation:

6×3=18

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Change fractions to have the same denominator or change them all to a decimal.  Then add.

Decimal method:

1 and 15/100 is equal to 1.15

1/50 is equal to 0.02

The final term is already a decimal

Add.  1.15 + 0.02 + 1.175 = 2.345

Answer:

120

Step-by-step explanation:

Divide 2400 by 20 to get your answer! It may be wrong

Answer:

W = 40

L = 60

Step-by-step explanation:

L = 20 + W

L*W = 2400

(20 + W)*W = 2400

W^2 + 20*W - 2400 = 0

(W + 60)*(W - 40) = 0

W = 40 (yards)

L = 20 + W

= 20 + 40 = 60

W = 40

Answer:

There are 480 lockers in school.

Step-by-step explanation:

480

Step-by-step explanation:

180÷3=60

60x5=300

300+180=480

Answer:

Step-by-step explanation:

Answer:

2. m∠4 + m∠5 = 210°

3. Alternate interior angles theorem.

4. 2 × m∠4 = 210°

5. 105°

Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!

Answer:

its answer is in high school is ten

Answer:

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]

Answer:

9 565 938

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

35+35+x=180

x=180-70

x=110

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y - 8 = 0(x - 4) \\ y - 8 = 0 \\[/tex]

We have the final answer as

Hope this helps you

Answer:

1.8

Step-by-step explanation:

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

Answer: sorry i’m late ..

but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place

Step-by-step explanation:

i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!

Answer: it has to be D

Answer:

The Answer is D) Just did the test!!

Step-by-step explanation:

Solve for k:

k = 4 (2 − 3p)/p + 4

Answer:

k =  4(2 - 3p)/(p + 4).

Step-by-step explanation:

p(k + 12) = 8 – 4k

pk + 12p = 8 - 4k

pk + 4k = 8 - 12p

k(p + 4) = 8 - 12p

k = (8 - 12p)/(p + 4)

k = 4(2 - 3p)/(p + 4).

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus

y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line

Answer:

c

Step-by-step explanation:

Answer:

The answer is 180 yds squared.

Step-by-step explanation:

Segment the areas.  One area has the measurements 5 and 6. Then the other one has measurements 15 and 10. This means you get 150 + 30. The answer is 180 yds squared.

Step-by-step explanation:

4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)

4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)

Answer:

Yes.  The difference between them are the same.  Both have the same number of units between them,

Step-by-step explanation:

Answer:

i don't have the answer but this is the translation guys

Step-by-step explanation:

What is the relationship between the area of ​​the scale drawing and the area of ​​the actual basketball court? 4.2 inch scale A. Show how you can find the area of ​​1 inch: 20 feet D. Is the ratio of the actual area to the area in the drawing the same as the ratio of the court in the scale drawing B. Show how you can Find the length and width of the actual court. C. What is the area of ​​the actual basketball court? Show your work. the actual lengths and the lengths of the drawing? Explain your answer,

Hi there! Hope this helps.

Answer:

Look below.

Step-by-step explanation:

I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.

Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.