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Nataliya [291]
3 years ago
5

Write an equation that represents a vertical translation 7 units down of the graph of g(x) = 21.

Mathematics
1 answer:
xenn [34]3 years ago
3 0

Answer:

<h2>h(x) = 14</h2>

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

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

g(x) = 21

translation 7 units down: g(x) - 7 = 21 - 7 = 14

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Find the area of the trapezoid to the nearest tenth.
erica [24]

Answer:

2.2 metres squared

Step-by-step explanation:

We need to find the area of this trapezoid.

The area of a trapezoid is denoted by:

A=\frac{(b_1+b_2)h}{2}, where b_1 and b_2 are the parallel bases and h is the height

Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.

Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:

2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4

Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:

A=\frac{(b_1+b_2)h}{2}

A=\frac{(0.9+2.3)*1.4}{2}=2.2

The answer is thus 2.2 metres squared.

<em>~ an aesthetics lover</em>

8 0
3 years ago
The table represents a proportional relationship the equation y=2/15x represents another proportional relationship. Of these two
scZoUnD [109]
I think it's A. I can't really see the graphs clearly. It's the one that crosses at (15,2)
8 0
3 years ago
Need some help! I’ll help you back!
oksian1 [2.3K]

Answer:

104.73cm²

Step-by-step explanation:

AREA OF SEMI CIRCLE

9cm-4cm = 5cm

5cm is the radius of the semi-circle

(πr²)/2 =

25π/2 = 12.5π

AREA OF SQUARE

16cm*9cm = 144cm²

AREA OF THE FIGURE SHOWN

144cm² - 12.5cmπ²

144cm² - 39.27cm² = 104.73cm²

4 0
3 years ago
Round 64899.4100117 to the nearest ten.
timurjin [86]
64899.4

Explanation: rounding to the nearest ten is the first number AFTER the decimal. You round up one of the 2nd number is greater than 5, but it is 4 in this case. The answer would be 64899.4
7 0
3 years ago
Please help!!!!!! It would mean so much to me
LenaWriter [7]

Answer:

7 feet

Step-by-step explanation:

Because that's way taller than the man in the picture

4 0
3 years ago
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