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3 years ago

graph the linear equation. Find three points that solve the equation, then plot on the graph -x -y =0

Mathematics

1 answer:

konstantin123 [22]3 years ago

4 0

$-x-y=0\qquad\text{add y to both sides}\\\\-x=y\to y=-x\\\\\text{Choice any three x values and calculate the y values.}\\\\for\ x=0\to y=-0=0\to(0,\ 0)\\\\for\ x=-2\to y=-(-2)=2\to(-2,\ 2)\\\\for\ x=2\to y=-2\to(2,\ -2)$

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Find the equation of the line with slope m=1/4 that contains the point (4,5).

sladkih [1.3K]

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

7 0

3 years ago

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and

V125BC [204]

Answer:

5.5 gallons to 6.9 gallons

Step-by-step explanation:

Daily a cow

produces a mean of 6.2 gallons (average

of 6.2 gallons, meaning they already

found the mean, "averaged" it out for

you) with a deviation of 7 gallons ("give

or take" .7 gallons). On any given day

(throw these words out) 68% of the cows

(don't need this information to answer

the question either, thrown in to confuse

you) will produce an amount of milk

within which of the following ranges?

Just subtract the deviation ("give or

take number").7 gallons from the mean

(average (already determined)) 6.2

gallons which is 5.5 gallons THEN add

the deviation ("give or take number").

7 gallons to the mean (average (already

determined)) 6.2 gallons which is 6.9

gallons. Your answer is A 5.5 gallons to

6.9 gallons. You don't even have to go

crazy on the math on this question you

can rule them all out but A immediately

with subtracting .7 from 6.2.

hope it helps!

4 0

3 years ago

Read 2 more answers

a sculpture is formed from a cylinder resting on top of a cuboid. the cylinder has a radius 40cm and height 70cm. the cuboid mea

frosja888 [35]

<u>Answer-</u>

$\boxed{\boxed{\text{Mass}=10.0447256\ ton}}$

<u>Solution-</u>

The dimensions of the cuboid is, 80×80×140 cm

So, its volume will be $=80\times80\times140=896000$ cm³

The dimensions of the cylinder is, radius = 40cm, height = 70cm

So, its volume will be $\pi r^2h=\pi\times40^2\times70=351792$ cm³

Total volume,

$V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3$

As we know,

$\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}$

$\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}$

$\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g$

$\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton$

8 0

3 years ago

Your patience while we update our system.

Masja [62]

Answer:

equation: 320+x=360, answer: 40

Step-by-step explanation:

add 100,200 and 100 to get 320

360-320=40

x=40

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3 years ago

Erin put 20 vegetables on her tray. If 1/4 of them were carrots, how many carrots were on Christina’s and Erin’s trays? Explain

const2013 [10]

5 carrots, I found my answer by dividing 20 and 1/4

8 0

3 years ago

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