2 years ago

Which of these strategies would eliminate a variable in the system of equations?

Mathematics

1 answer:

gtnhenbr [62]2 years ago

8 0

Answer:

option A

Step-by-step explanation:

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Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?

Fofino [41]

Answer:

2500

Step-by-step explanation:

Let the first square number be $x^2$ then the next square number is $(x+1)^2$ .

The difference between these two consecutive numbers is 99.

This implies that:

$(x+1)^2-x^2=99$

We expand to get:

$x^2+2x+1-x^2=99$

Simplify:

$2x=99-1$

$2x=98$

Divide both sides by 2

$x=49$

Therefore the value of the larger perfect number is

$(49+1)^2=50^2=2500$ .

6 0

3 years ago

3. Write the equation of a line that passes through the point (24, 25) and is

IceJOKER [234]

Answer:

y=-1/3x + 33

Step-by-step explanation:

You can start by writing this in point slope form and converting to slope intercept later. Since the slope of the perpendicular line is y=3x-30, this line must have a slope of -1/3. It's point slope form is therefore:

y-25=-1/3(x-24)

Now, you can convert to slope intercept by isolating y:

y=-1/3(x-24)+25

y=-1/3x+8+25

y=-1/3x+33

Hope this helps!

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3 years ago