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3 years ago

Please help :) I’m really in need of assistance and would appreciate it.

Mathematics

1 answer:

BaLLatris [955]3 years ago

4 0

Answer:

$D) 0.5x^3y + 4x^2 y^2 - 2xy^3$

Step-by-step explanation:

Set up an equation to model the situation,

$(-0.5xy)(x^2 + 8xy - 4y^2)$

Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.

$-0.5x^3 y - 4x^2 y^2 + 2xy^3$

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The shorter leg of a right triangle is 7cm shorter than the longer leg. The hypotenuse is 7cm longer then the linger leg. What i

Gelneren [198K]

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Step-by-step explanation:

Let,

The longer leg = x

The shorter leg = x-7

Hypotenuse = x+7

Using Pythagoras theorem;

$a^2+b^2=c^2\\(x-7)^2+(x)^2=(x+7)^2\\x^2-14x+49+x^2=x^2+14x+49\\2x^2-14x+49-x^2-14x-49=0\\x^2-28x=0\\x(x-28)=0\\$

Either,

x= 0

Or,

x-28=0 =>x=28

As length cannot be zero, therefore,

Longer side = 28cm

Shorter side = x-7 = 28-7 = 21cm

Hypotenuse = x+7 = 28+7 = 35cm

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Keywords: triangle, pythagoras theorem

Learn more about triangles at:

#LearnwithBrainly

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3 years ago

It costs $120 for 20 students to visit an aquarium. How much does it cost for 152 students? Set up a proportion to solve.

nordsb [41]

Answer:

152 times 6=912

Step-by-step explanation:

$120 for every 20 students

it cost $6 for every 1 student

$6 times 152=912

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3 years ago

If angle ASE measures 168. Find the measure of the angle DSE. The Figure may not be drawn to scale?

SpyIntel [72]

Alrighty, so, without the picture and the clues given I'm going to assume the image you have looks like two angles coming from the middle of a straight line. A straight line is equal to 180 degrees. 180 degrees minus 168 degrees equals 12.

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Marina CMI [18]

Answer:

In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.

Step-by-step explanation:

We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.

So to get the actual division factor, let's take 3300 and divide it by 30,

3300/30 = 110

So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421

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3 years ago

Put the following equation of a line into slope-intercept form, reducing all fractions.

Reil [10]

Answer:

y = (-1/5)x - 9

Step-by-step explanation:

15y = -3x - 135

Divide both sides by 15

y = (-1/5)x - 9

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