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Digiron [165]
3 years ago
11

Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
8 0
If the line is perpendicular to x = 4, then that means the answer should be y = some number

and since we have the equation going through point (5,7), we look at the y-value since our equation is y=some number and replace the y-value into that equation.

So the correct answer is C. y = 7

Hope that helps :)

Romashka-Z-Leto [24]3 years ago
6 0
Since there are infinite possible answers we will just make our way through the given answers. 

A: Imagine the line for the equation Y=4, it is a straight horizontal line going through every value of x but only one value of Y because it doesn't get any higher or lower. So Y=4 can not be the answer because Y never = 7.

B: Do the same thing and imagine this line. It is a vertical line on the point of X = 5. This one does cross though (5,7) but it is not perpendicular to X= 4 so is not the answer.

C: Crosses through (5,7) and is perpendicular to x = 4. correct answer.





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If f(x)=7-3x and g(x)=3x-7, what is the value of f(1)-g(1)?
postnew [5]
Substitute 1 for x in each of your equations.

f(x)=7-3x
which is
f(1)=7-3(1)
=3
Do the same for g(x)
g(x)=3x-7
which is
g(1)=3(1)-7
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Then subtract g(x) from f(x):
3-(-4)
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:)

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3 0
3 years ago
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This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for pi.
Ghella [55]

The area of the given shape is 220.24 square cm.

Step-by-step explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the quarter circle.

The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.

The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.

Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.

200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.

Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.

So the quarter circle covers an area of 50.24 square cm.

Step 2;

Area of given shape = Area of the rectangle + Area of the quarter circle

Area of given shape = 170 + 50.24 = 220.24 square cm.

5 0
3 years ago
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SashulF [63]
K = 10

I think. I’m not positive sure though. Hope this helped!
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3 years ago
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