Please help 25 points and brainiest
Find the slope of the line between each pair of points
1-16 please help

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex](40)^2=(8)^2+(h)^2[/tex]

[tex]1600=64+h^2[/tex]

[tex]1600-64=h^2[/tex]

[tex]1536=h^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{1536}=h[/tex]

[tex]\pm 39.1918358=h[/tex]

Height cannot be negative. Round to the nearest foot.

[tex]h\approx 39[/tex]

Therefore, the height of the ladder on the wall is 39 foot.

Answer:

x = 70/9

Step-by-step explanation:

9x - 81 = -11

move it to the right

9x = -11 +81

calculate

9x = 70

divide both sides

x = 70/9

Answer: 55

Step-by-step explanation:

67

Answer:

-0.9

Step-by-step explanation:

First we have to distribute. -1 times t is -1t and -1 times 8 is -8. Now, our equation will look like this: -1t - 8 = -7.1  

Next, we have to carry our -8 to the other side of the euqation. So, we have to plus 8 on both sides. -7.1 plus 8 is 0.9. Now, our equation will look like this,

-1t = 0.9.

Lastly, we have to divide -1 from both sides. 0.9 divided by -1 is -0.9. So therefore, t = -0.9.

Answer:

9.9

Step-by-step explanation:

Answer:

B. 13

Step-by-step explanation:

replace variables

5(5-3)+3

distribute

5(2)+3

multiply

10+3

add

13

Answer:

m (m + n) - n

= 5 (5+(-3)) - (-3)

= 5 (5-3) + 3

= 5 x 2 + 3

= 10+3

= 13

Answer:

one solution

Step-by-step explanation:

Answer:

Sightseeing

Step-by-step explanation:

Answer:

The process is the same. They just have different symbols.

Step-by-step explanation:

NO IT CANNOT BE MADE

Step-by-step explanation:

Since, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Answer:

ll

Step-by-step explanation:

ll

Answer:

(0,-2)

Step-by-step explanation:

Answer:

12.50

Step-by-step explanation:

Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]

Answer:

Gas exchange takes place in the millions of alveolar in the lungs and the capillaries that envelop them. As shown below, inhaled oxygen moves from the alveolar to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveolar.

Step-by-step explanation:

Gas exchange takes place in the millions of alveolar in the lungs and the capillaries that envelop them. As shown below, inhaled oxygen moves from the alveolar to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveolar.

Answer:

hope this helps ! <33

Step-by-step explanation:

Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.

Answer:

8/12

Step-by-step explanation:

Hope it’s right

y=8

Step-by-step explanation:

y=x+5 x=3

y=3+5

therefore

y=8

Answer:

[tex]f^{-1}[/tex](x)=[tex]\sqrt{x+3}[/tex]  , - [tex]\sqrt{x+3}[/tex]

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is

[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )

14x = 98 ( divide both sides by 14 )

x = 7 → C

Answer:

-4 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4.41666666667

The required expression model is given as x + 8 / 6. Option B is correct.

Given that,
To determine the expression represents the calculation the sum of x and 8 is divided by 6

The equation model has defined as the model of the given situation in the form of an equation using variables and constants.

here,
According to the question,
The sum of x and 8 = x + 8
divided by 6
= x + 8 / 6

Thus, the required expression model is given as x + 8 / 6. Option B is correct.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

Answer:

Step-by-step explanation:

Step one:

given data

price of computer= $1500

sales tax= 8.5%

Step two

Let us compute the amount in tax

tax= 8.5/100*1500

=0.085*1500

=$127.5

Let the total cost be t

hence

t=1500+0.085*1500

t=1500+127.5

t=$1627.5

Answer:

8

Step-by-step explanation:

Answer:

second option

Step-by-step explanation:

You want to isolate the 'y' in each inequality:

4x - 5y ≤ 1

-5y ≤ -4x + 1

y ≥ 4/5x - 1/5   (inequality symbol changed because we divided by a negative)

1/2y - x ≤ 3

y - 2x ≤ 6    we multipled the original inequality by 2 to eliminate the denom.

y ≤ 2x + 6

Answer:

Step-by-step explanation:

-4 x y-= 2

Answer:

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

Step-by-step explanation: