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3 years ago

what is the slope intercept form of the linear equation with a graph that passes through (-2,2) and is perpendicular to the grap

h of y=1/3x+9

Mathematics

1 answer:

gtnhenbr [62]3 years ago

6 0

$\text{The slope-intercept form}\ y=mx+b.\\\\Let\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\\------------------------\\\text{Let}\ k:y=\dfrac{1}{3}x+9\ \text{and}\ l:y=mx+b\\\\l\ \perp\ k\iff\dfrac{1}{3}m=-1\qquad|\cdot3\to m=-3\\\\l:y=-3x+b\\\\\text{Substitute the coordinates of the point (-2, 2) to the equation}\\\text{of the line}\ l:\\\\2=-3(-2)+b\\2=6+b\qquad|-6\\-4=b\to b=-4\\\\\boxed{Answer:\ y=-3x-4}$

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Im bad at composite figures || please hurry

goldfiish [28.3K]

The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.

The complete question is attached below.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of trapezoid and square.

Then the area of the geometry will be

Area = Area of trapezoid + Area of square

Area = 1/2 x (3 + 9) x 5 + 3 x 3

Area = 30 + 9

Area = 39 square meters

More about the geometry link is given below.

brainly.com/question/7558603

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1 year ago

The area of a bathroom floor measures 6 feet by 9 feet and each custom tile that makes up the flooring is 1 1/2 square feet. How

lbvjy [14]

Answer:

Around 9.8 tiles

Step-by-step explanation:

The formula is x = (6*9)/5.5.

3 0

3 years ago

Henry has two pixie sticks full of delicious sugar. Henry loves to share. It just so happens that there are two other friends ne

Effectus [21]

Answer: 14.7 grams

Step-by-step explanation:

Given : Henry has two pixie sticks full of delicious sugar.

Each pixie stick has 22 grams of sugary goodness.

Then, Total sugary goodness in 2 pixie sticks= $2\times22=44\text{ grams}$

Total persons = 3 [Including himself]

If he divides 2 sticks evenly among 3 persons , then the amount of sugary goodness each persons will receive

= Total sugary goodness in 2 pixie sticks divided by 3

$=44\div3=14.6666666667\approx14.7$ grams

Hence, He will share 14.7 grams of sugary goodness with each of his friends.

4 0

3 years ago

9+a=23 need to solve this problem

Pavel [41]

Answer:

a = 14

Step-by-step explanation:

Given

9 + a = 23 ( subtract 9 from both sides )

a = 14

4 0

3 years ago

Read 2 more answers

G with the definition of covariance, prove cov[(ay − b),(cy − d)] = accov(x, y ), where x, y are random variables and a, b, c, d

____ [38]

By definition of covariance,

$\mathrm{Cov}(X,Y)=\mathbb E[(X-\mathbb E[X])(Y-\mathbb E[Y])]$

$\mathrm{Cov}(X,Y)=\mathbb E[XY-\mathbb E[X]Y-X\mathbb E[Y]+\mathbb E[X]\mathbb E[Y]]=\mathbb E[XY]-\mathbb E[X]\mathbb E[Y]$

We have

$\mathbb E[(aX-b)(cY-d)]=\mathbb E[acXY-adX-bcY+bd]$

$=ac\mathbb E[XY]-ad\mathbb E[X]-bc\mathbb E[Y]+bd$

$\mathbb E[aX-b]=a\mathbb E[X]-b$

$\mathbb E[cY-d]=c\mathbb E[Y]-d$

$\mathbb E[aX-b]\mathbb E[cY-d]=ac\mathbb E[X]\mathbb E[Y]-ad\mathbb E[X]-bc\mathbb E[Y]+bd$

Putting everything together, we find the covariance reduces to

$\mathrm{Cov}(aX-b,cY-d)=ac(\mathbb E[XY]-\mathbb E[X]\mathbb E[Y])=ac\mathrm{Cov}(X,Y)$

as desired.

5 0

2 years ago