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Kitty [74]
3 years ago
13

Tatiana wrote the steps that are commonly used to solve a system of equations with two variables. Which steps are correct? Check

all that apply. Multiply the value of the first variable by one of the original equations to solve for the second variable. Use multiplication to write an equivalent equation with an opposite term. Solve for one of the variables. Write the opposite of one variable to solve for the other variable. Add the equivalent system of equations to eliminate a variable. Write the solution as an ordered pair. Substitute the value of the known variable into one of the original equations to solve for the unknown variable.
Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0
<span>These ones are correct:
Multiply the value of the first variable by one of the original equations to solve for the second variable.
</span><span>Solve for one of the variables
</span><span>Substitute the value of the known variable into one of the original equations to solve for the unknown variable.</span>
jeka943 years ago
5 0

Answer:

a, c, and g are correct

Step-by-step explanation:

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SOS HURRY
Burka [1]

First, by using the distance formula for just one side, we can find the length of all sides (a square has 4 equal sides.) Then, we can apply the area of a square formula, which is a^2.

Distance formula:

\sqrt{(x.2 - x.1)^{2} + (y.2 - y.1)^{2}}

√((-2 + 5)^2 + (-8 + 4)^2)

√((3)^2 + (4)^2)

√9 + 16

√25

5

The side lengths of the square are each equal to 5, and by applying the formula for area, we can find the area of the square.

5^2 = 25

<h3>The area is 25.</h3>
3 0
3 years ago
The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, t
Marat540 [252]
\mathbb P(X>250)=\mathbb P\left(\dfrac{X-190}{30}>\dfrac{250-190}{30}\right)=\mathbb P(Z>2)\approx0.0228

Or, if you're familiar with the empirical rule and the basic properties of the normal distribution, you can use the fact that approximately 95/% of the distribution lies within two standard deviations of the mean, or

\mathbb P(|Z|

which means about 5\% of the distribution lies outside this interval, or

\mathbb P((-22))\approx0.05

Because the distribution is symmetric, you have

\mathbb P(-22)
\implies \mathbb P((-22))=\mathbb P(-22)=2\mathbb P(Z>2)\approx0.05
\implies \mathbb P(Z>2)\approx 0.025
8 0
3 years ago
Read 2 more answers
Expand and simplify (x + 5)(x + 4)<br>​
Nina [5.8K]

Answer:

(x+5)⋅(x+4)= x2+9x+20

Step-by-step explanation:

(x+5)(x+4)

=x

2

+4x+5x+20=

=x

2

+9x+20

7 0
3 years ago
Read 2 more answers
What is the approximate distance between the points (-3,-4)(-8,1) on a coordinate grid?
Alex

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{25+25}\implies d=\sqrt{50}\implies d\approx 7.071

3 0
3 years ago
Triangle abc is a right triangle. One of the acute angles is (3x+20)and the other is (3x+10) find the value of x
sasho [114]

Answer:

x=10

Step-by-step explanation:

90+3x+10+3x+20=180

-90      -10      -20   -120

combine like terms

6x=60

x=10

5 0
3 years ago
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