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3 years ago

7

Find the equation of the line perpendicular to y = -2x + 6 that goes through (2, 10).

1 answer:

neonofarm [45]3 years ago

7 0

If the line is perpendicular, then its slope is the reciprocal of the given line's slope. This new line's slope is 1/2. We plug it into slope-intercept form

y = 1/2x + b

Now plug in the given point of (2, 10) and solve for b.

10 = 1/2(2) + b
10 = 1 + b
9 = b

So your equation is y = 1/2x + 9

You might be interested in

What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?

maw [93]

Y - 4.5 = 12.2

your solving for y which means your trying to get rid of 4.5 so that y can equal something. The opposite of -4.5 would be +4.5, so you would add 4.5 to both sides to get

y = 16.7

So your answer would be

A. Add 4.5

and also dont' say your stupid because all you need is a little explanation and you'll get it, its very easy you just need to take the time to practice :-)

6 0

3 years ago

Help!!! Will mark Brainliest!

AleksAgata [21]

Answer:

(x-5)² + y² = 4

Step-by-step explanation:

formula of circle: (x-h)² + (y-k)² = r² where (h,k) is coordinate of center and r is radius

center: (5 , 0) r = 2

Equation: (x-5)² + y² = 4

4 0

3 years ago

Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6

FinnZ [79.3K]

Answer:

y = - $\frac{1}{16}$ (x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

$\sqrt{(x-1)^2+(y+2)^2^}$ = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - $\frac{1}{16}$ (x - 1)² + 2

8 0

3 years ago

What is the area of the figure?<br><br> 40 ft2<br> 84 ft2<br> 96 ft2<br> can't be determined

mina [271]

Answer:

$A=80\ ft^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle

step 1

Find the area of the triangle

The area of the triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=16\ ft$

To find out the height of the triangle Apply the Pythagorean Theorem

$10^2=(16/2)^2+h^2$

solve for h

$100=64+h^2$

$h^2=100-64$

$h^2=36$

$h=6\ ft$

<em>Find the area of triangle</em>

$A=\frac{1}{2}(16)(6)$

$A=48\ ft^2$

step 2

Find the area of rectangle

The area of rectangle is equal to

$A=LW$

we have

$L=16\ ft\\W=2\ ft$

substitute

$A=(16)(2)=32\ ft^2$

step 3

Find the area of the figure

Adds the areas

$A=48+32=80\ ft^2$

5 0

3 years ago

The length of a rectangle measures 5/8 of a foot. The width of the rectangle measures 2 1/2 feet. What is the area of the rectan

ehidna [41]

Answer:

1 9/16 square feet or 1.5625 square feet

Step-by-step explanation:

Area of a rectangle is Length x Width

First convert 2 1/2 into a number that is just a fraction.

2 = 4/2 so 4/2 + 1/2 = 5/2

Now you can multiply the two fractions to find the area.

area = 5 5 25

-- x -- = -----

8 2 16

To simplify this, you know 16/16 = 1 so subtract 16 from the numerator which leaves 9/16

Your answer will be 1 and 9/16

7 0

2 years ago

Read 2 more answers