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Lubov Fominskaja [6]
4 years ago
6

Find the value of x so the rectangles have the same area

Mathematics
1 answer:
weqwewe [10]4 years ago
7 0
Area of rectangles = width * length.
So x*12 = 12x = area of first rectangle
So 16*(x-2) = 16x -32 = area of second rectangle

The question states to make them equal, so:
first rectangle = second rectangle
12x = 16x -32
Solve for x
-4x = -32
4x = 32
x = 8

 
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Answer:

  4 cm

Step-by-step explanation:

The equation of a parabola with its vertex at the origin can be written as ...

  y = 1/(4p)x^2

The problem statement tells us that one point on the parabola is (x, y) = (12, 9). We can put these values into the equation and solve for p, the distance from the focus to the vertex.

  9 = 1/(4p)(12^2)

  9×4/144 = 1/p = 1/4 . . . . . . . . multiply by the inverse of the coefficient of 1/p

Then p = 4, and the bulb is 4 cm from the vertex.

4 0
3 years ago
At the North Fair you earn 9 points for each bull's eye you hit, but you lose 7 points for each miss. After 25 tries, Linda has
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Linda had (B) 13 hits. 13*9 - 12*7 would equal 33.
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3 years ago
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Draw triangle XYZ with vertices X (-3, 2), Y (4, -2) and Z (-3, -2) on the coordinate plane. Then find the area of the triangle
dmitriy555 [2]

Answer:

14 square units

Step-by-step explanation:

If you graph the points your triangle's height will be 4, and base would be 7.

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Hope this helps :D

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3u+23

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3 years ago
Cindy is baking a 2-layer cake. The top layer has a diameter of 8 inches and the bottom layer has a diameter of 10 inches. What
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The difference in area between the top surfaces of the two cakes is 28.26 inches²

<h3>Area of a circle</h3>
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where

r = radius

Therefore,

area of top layer = πr²

d = 2r

r = d / 2

r = 8 / 2

r = 4 inches

area of top layer = 3.14 × 4²

area of top layer = 3.14 × 16

area of top layer = 50.24 inches²

area of the bottom layer = πr²

r = 10 / 2 = 5 inches

area of the bottom layer = 3.14 × 5²

area of the bottom layer = 3.14 ×25

area of the bottom layer = 78.5 inches²

Difference in area between the top surfaces of the two cakes can be found as follows:

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learn more on circle here: brainly.com/question/10264279

5 0
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