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2 years ago

what is the equation of the following line? be sure to scroll down first to see all the answer options

Mathematics

1 answer:

yan [13]2 years ago

6 0

E. y = -3x

I can give you an explanation in the comments if you'd like

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laren had 3 liters of water. she poured the water into 7 glasses equally. how much water was there in each glass.

LenKa [72]

Answer:

My answer is 14.5 ounces in each cup.

Step-by-step explanation:

4 0

3 years ago

Since i forgot to attach a image last time im asking again

Keith_Richards [23]

Answer:

y = 5/2x

60 ft tall

Step-by-step explanation:

7 0

3 years ago

The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy

Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

$shortleg^2+longleg^2=hypotenuse^2$

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

$s^2+(2s+4)^2=(2s+6)^2$

And of course we have to expand. Doing that will leave us with

$s^2+4s^2+8s+8s+16=4s^2+12s+12s+36$

Combining like terms we have

$5s^2+16s+16=4s^2+24s+36$

Our job now is to get everything on one side of the equals sign and solve for s

$s^2-8s-20=0$

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0

3 years ago

Solve 5y^2+20=80, where y is the real number

soldi70 [24.7K]

Answer:

2√3

Step-by-step explanation:

5y2+20=80

Step 1: Subtract 20 from both sides.

5y^2+20−20=80−20

5y^2=60

Step 2: Divide both sides by 5.

5y^2 /5 = 60/5

y2=12

Step 3: Take square root.

y=√12

y=2√3

3 0

3 years ago

A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many

vodomira [7]

Answer:

The number of students who prefer chocolate milk is 780 .

Step-by-step explanation:

Given as :

The total number of students in the school = 1200

The percentage of students who prefer plain white milk = 35 %

Let the number of students who prefer chocolate milk = x

Now, ∵ The percentage of students who prefer plain white milk = 35 %

∴ The percentage of students who prefer chocolate milk = 100 % - 35 % = 65%

So , As The number of students who prefer chocolate milk = x

Or, 65 % of total number of students in school = x

So, x = $\frac{65}{100}$ × 1200

or, x = $\frac{65\times 1200 }{100}$

∴ x = 780

So, the number of students who prefer chocolate milk = x = 780

And students who prefer plain white milk = 1200 - x = 1200 - 780 = 420

Hence, The number of students who prefer chocolate milk is 780 . Answer

4 0

3 years ago