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2 years ago

Combing like terms -14+12+9z-16z =

Mathematics

2 answers:

Temka [501]2 years ago

8 0

Combining like terms is combining numbers with the same variables.

= -14 + 12 + 9z - 16z

= (-14 + 12) + (9z - 16z)

= -2 - 7z

~Put into standard form

-7z - 2

Best of Luck!

tigry1 [53]2 years ago

5 0

Answer:

-6/7

Step-by-step explanation:

-14+12+9z-16z=0

-6-7z=0

Add 7z to both sides

-6=7z

Divide both sides by 7

z=-6/7

Therefore the value for z is -6/7

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Which answer is equal to 2sqrt-28?

Oksana_A [137]

2^2-28

=4-28

=-24

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2 years ago

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2 years ago

What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

2 years ago

Read 2 more answers

Find the slope and the y-intercept of the graph of the linear equation. y = 6x

Snowcat [4.5K]

Y-intercept=0
slope=6/1

hope this helps

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3 years ago

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in t

EleoNora [17]

Answer:

Rachel

Step-by-step explanation:

We need to measure how far (towards the left) are the students from the mean in “standard deviations units”.

That is to say, if t is the time the student ran the mile and s is the standard deviation of the class, we must find an x such that

mean - x*s = t

For Rachel we have

11 - x*3 = 8, so x = 1.

Rachel is 1 standard deviation far (to the left) from the mean of her class

For Kenji we have

9 - x*2 = 8.5, so x = 0.25

Kenji is 0.25 standard deviations far (to the left) from the mean of his class

For Nedda we have

7 - x*4 = 8, so x = 0.25

Nedda is also 0.25 standard deviations far (to the left) from the mean of his class.

As Rachel is the farthest from the mean of her class in term of standard deviations, Rachel is the fastest runner with respect to her class.

8 0

2 years ago