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3 years ago

Solving linear systems with graphing

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

Answer:

All you have to do is graph both the linear functions on a calculator or on paper and the point where both lines intersect is the solution. So that means if it intersects at a point, your solution would be a coordinate.

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If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?

nexus9112 [7]

Answer:

400cm

Step-by-step explanation:

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3 years ago

A car travels 182 miles in 3 hours and 15 minutes. How many miles does it travel per hour?

timofeeve [1]

57 miles about I'm not positive but I think this is right

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3 years ago

A proton represents a positive charge. Write an integer to represent 5 protons. An electron represents a negative charge. Write

Ugo [173]

Answer

Given,

proton represent positive charge

the integer that will give the representation of 5 protons will be equal to + 5

an electron represents negative charge

the integer that will give the representation of 3 electrons will be equal to -3

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3 years ago

The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. W

sasho [114]

Answer: OPTION D.

Step-by-step explanation:

Below are some transformations for a function f(x):

If $-f(x)$ , then the function is reflected over the x-axis.

If $f(-x)$ , then the function is reflected over the y-axis.

If $f(bx)$ and $b>1$ , then the function is horizontally compressed.

If $f(bx)$ and $0 < b$ , then the function is horizontally stretched.

In this case you know that the parent function is:

$y=x^3$

According to the information given in the exercise, the parent function IS horizontally stretched by a factor of $\frac{1}{5}$ and it is also reflected over the y-axis.

Therefore, based on the transformations explained before, you can notice that the transformation is:

$f(-bx)$

Where $0 < b$

Therefore, the equation of the transformed function is:

$y=(-\frac{1}{5}x)^ 3$

8 0

3 years ago

Read 2 more answers

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

5 0

3 years ago