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soldi70 [24.7K]
3 years ago
9

PLZ HELP ME QUICKLY EXPLAIN

Mathematics
1 answer:
velikii [3]3 years ago
6 0
This is a nice problem to test the understanding of the translation of a function.
In general, a transformation
f(x)->g(x) where g(x)=f(x-h)+k
involves a translation of h units to the right, and k unit up.

In the case of a straight line, we do not see separate effects of horizontal or vertical translations, because the image g(x) remains parallel to the original function f(x).

The translation of f(x)=-2x+7 -> g(x)=f(x-h)+k 
can be visualized as
g(x)=-2(x-h)+7+k
which by expansion
g(x)=-2x+2h+7+k
Since we have the image 9 units BELOW f(x), we equate
f(x)-9=-2x+2h+7+k=g(x)
=>
-2x+7-9=-2x+2h+7+k
on simplification =>
2h+k=-9
From the given answer options,
a. h=-5, k=1 => 2h+k=-10+1=-9  [ equals -9, so OK]
b. h=4, k=1 => 2h+k=8+1=9        [does not equal -9, so NOT THIS ONE]
c. h=-2, k=2 => 2h+k=-4+2=-2     [does not equal -9, so NOT THIS ONE]
d. h=-9, k=2 => 2h+k=-18+2=-18  [does not equal -9, so NOT THIS ONE]

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A printer designs a tag in the shape of a circle with a smaller circle cut out. She cuts her prototype from a 5 in. by a 7 in. i
Nonamiya [84]

The circumference of the larger circle is about 12.57 inches. The circumference of the smaller circle is about 3.14 inches. So, the total length of gold leaf on a tag is approximately 15.71 inches.

<h3>How to illustrate the circle?</h3>

The circumference will be:

= 2πr

= 2 × 3.14 × 2

= 12.57 inches.

The circumference of the smaller circle will be:

= 2πr

= 2 × 3.14 × 0.5

= 3.14

The total length will be:

= 12.57 + 3.14

= 15.71 inches.

Learn more about circles on:

brainly.com/question/27991521

#SPJ1

7 0
2 years ago
- 22 - 7v = - 3(8V + 4)<br> Round to the nearest hundreth
Dmitriy789 [7]

Answer:

v = 0.58

Step-by-step explanation:

-22 - 7v = -3(8v + 4)

Expand -3(8v + 4)

3 * 8v - 3 * 4

Simplify -3 * 8v -3 * 4

= -24v - 12

-22 - 7v = -24v - 12

Add 22 to both sides

-7v = -24v +10

Add 24v to both sides

17v = 10

\frac{17v}{17} =\frac{10}{17}

v =\frac{10}{17}

v=0.58

5 0
3 years ago
What are some non-examples of deposition, erosion, and weathering? I need at least 4 examples each...
Arte-miy333 [17]
Coal cause when you burn it it is gone hope I helped
6 0
3 years ago
The height of a trapezoid is 16in. The bases are 32in and 24in. What is the area of the trapezoid.
oksano4ka [1.4K]

Answer:

448in^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(32+24)/2*16=28*16=448 in^2

4 0
3 years ago
What are the zeros of f(x) = x2 - 8x+16?
Stels [109]

Answer:

x=4

Step-by-step explanation:

f(x) = x^2 - 8x+16

Set equal to zero

0 = x^2 -8x +16

Factor

what 2 numbers multiply to 16 and add to -8

-4*-4 = 16

-4+-4 = -8

0= (x-4)(x-4)

Using the zero product property

x-4 = 0  x-4 =0

x=4  x=4

3 0
3 years ago
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