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jasenka [17]
3 years ago
7

Line EF has an equation of a line y = −2x + 7. Which of the following could be an equation for a line that is perpendicular to l

ine EF?
y = 2x − 3
y = 1 over 2x − 3
y = −2x − 3
y = −1 over 2x − 3
Mathematics
2 answers:
yarga [219]3 years ago
6 0

Answer:

y=\frac{1}{2} x-3

Step-by-step explanation:

Step 1

Find the slope of the line EF

we have

y=-2x+7

The slope of the line EF is equal to

m=-2

Step 2

Find the slope of the line perpendicular to the line EF

we know that

If two lines are perpendicular, then the product of its slopes is equal to minus one

so

m1*m2=-1

we have

m1=-2 -----> slope of the line EF

Find the value of m2

substitute

(-2)*m2=-1

m2=1/2

therefore

the equation y=\frac{1}{2} x-3 could be an equation for a line that is perpendicular to line EF


r-ruslan [8.4K]3 years ago
3 0
1.

When a line is given in the form y=mx+n, 

m is the slope of this line.

For example, the slope of the line y=-2x+7 is -2.

2. 

If lines y=mx+n and y=kx+t are perpendicular, then the multiplication of their slopes is -1, that is

m*k = -1, so k=-1/m

3.

any line perpendicular to y=-2x+7 has slope = -1/(-2)=1/2

4.

Among the choices, y=(1/2)x-3 is a line perpendicular to the given line.

Answer: 

b. y=(1/2)x-3 
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ivanzaharov [21]

Answer:

True

Step-by-step explanation:

On a football field there are 4,320 inches

On a basketball court there are 2,865 centemeters

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3 years ago
Given the figure as marked, find the perimeter and area.
Kazeer [188]

Answer:

Step-by-step explanation:

Left triangle: it has two congruent legs because has an angle of 45 degrees

AB = \sqrt{ 2 * 6^2} = 6\sqrt{2} cm

the triangle on the the right is half on an equilateral one

BC = 12 cm

CH = 6√3 cm

AC= (6 + 6√3) cm

2p = 6 + 6√3 + 12 + 6√2 = 18 + 6√3 + 6√2 = 6(3 + √3 + √2) cm

Area = [6(1+√3)  * 6]/2 = 18(1+√3) cm^2

6 0
2 years ago
20 points! Identify the solids that form the compos
Troyanec [42]

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length (a^2).

The cube's surface area = 6a^2 = 6(5^{2} ) = 150 square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = 2 \pi r h+2 \pi r^{2} = 2 \pi (2) (4)+2 \pi (2)^{2} = 75.398 square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

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5 0
2 years ago
Need help for this please
Ksju [112]

Answer:

The area of the circle is approximately <u>154</u> square meters

Step-by-step explanation:

Area of a circle formula: A = \pi r^{2}

given:

- diameter = 14m

- pi = 22/7

radius (r) = diameter/2 = 14/2 = 7\\A = 22/7*(7)^2\\A = 22/7*(49)\\A = 154

8 0
2 years ago
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