If f(x)= 2x, find f(-3)
please help, I'm so confused ;-;

Answers

Answer 1
Answer:

Answer:

-6

Step-by-step explanation:

2 x -3 = -6

hope this helped


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Please help!! There's a picture.

Simplify 5x + 3y - 2x + 4y

Answers

5x+3y-2x+4y= 5x-2x+4y+3y= 3x+7y
5x - 2x = 3x
3y + 4y = 7y
Answer: 3x + 7y

Karen bakes cookies. She has observed that the number of cookies that turn out well in each batch varies with the size of the batch and is given by the function f(x) = 2x – 23, where x is the size of the batch (number of cookies in each batch). She never bakes fewer than 12 cookies in a batch. If the size of five batches is {20, 25, 26, 27, 34}, how many cookies turn out well in each batch?Answers Choices
{17, 27, 29, 31, 45}
{18, 24, 26, 30, 46}
{14, 23, 25, 31, 42}
{20, 24, 25, 26, 44

Answers

Substitute the values of the size of the 5 batches to the model.

For example

@x = 20

f(20) = 2*20 – 23 = 17

f(25) = 2*25 – 23 = 27

f(26) =29

f(27) = 31

f(34) = 45

 

Therefore the answer is the first choice (17, 27, 29, 31, 42)

A ladder leans against the side of a house. The angle of elevation of the ladder is 66 degrees when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

Answer:

The length of the ladder  = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 66° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

  From right angle triangle

      cos C = (CB)/(CA)

     cos 66 = (x)/(16)

      x = 16 × cos 66°

     x = 16 × 0.4067

     x = 6.5077

   x = 6.5 ft

The length of the ladder = 6.5 ft

Which type of angle is ABC?
help quick!

Answers

Answer:

A right angle.

Step-by-step explanation:

65+25 =90

25+65= 90°

Answer:∠ABC is a vertical angle. Because, vertical angles are 90°

Find the area, please

I’ll give brainlist

Answers

Answer:

Area = 104 m²

Step-by-step explanation:

the figure is composed of a rectangle and a triangle

area of rectangle = length × breadth = 10 × 8 = 80 m²

area of triangle = (1)/(2) × base × perpendicular height

the base of the triangle is opposite the 8 m side of the rectangle and is 8 m

the perpendicular height of the triangle is 6m , then

area of triangle = (1)/(2) × 8 × 6 = 4 × 6 = 24 m²

sum the areas of the two parts

area = 80 + 24 = 104 m²

A 20m ladder and a 15m ladder were leaned against a building. The bottom of the longer ladder was 7m farther from the building than the bottom of the shorter ladder, but both ladders reached the same distance up the building. Find this distance.6m

12m

10m

9m

Answers

Answer:

The correct answer is: d=9m

Step-by-step explanation:

Ok, the ladders leaned against a building make two right triangles with same the same height, which we will call h. For the 20m ladder, its leg is (7+d) and for the 15m ladder, its leg is d, and the two hypotenuses are 20 and 15 respectively.

Then, using the Pythagorean Theorem we have:  

20m ladder:

20^2 = h^2 + (d+7)^2    (Eq. 1)

400 = h^2 + d^2 + 2*7*d + 7^2  (expanding the theorem)

400 = (h^2 + d^2) + 14*d + 49   (Eq. 2)

15m ladder:

 15^2 = h^2 + (d)^2         (Eq. 3)

Since h^2 + (d)^2 is equal to 15^2, we can substitute (2) into (3):

400 = (15^2) + 14*d + 49

400 = 225 + 14*d + 49

14*d = 400 - 225 - 49  (clearing the variable d)

14*d = 126

d = 9 m

And since we now know that d is equal to 9m. For the longer ladder is (d+7)=(9+7)=16m.

And, then the shorter ladder is 9m from the building and the longer ladder is 16m from the building