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lbvjy [14]
3 years ago
5

Solve system by using substitution: 5x + 3y = -4 y - 2x = 6

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

x = -11/3, y = -4/3

Step-by-step explanation:

y-2x=6\\y = 2x + 6

3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3

3y = -4\\y = -4/3

You might be interested in
"Find the coefficient of determination given that the correlation coefficient = -.39"
nika2105 [10]

Answer:

r = -0.39

And the determination coeffcient is just the correlation coeffcient square and we got:

R = r^2 = (-0.39)^2 =0.1521

And rounded to the nearest tenth thousand would be 0.1521

Step-by-step explanation:

The correlation coefficient is a measure of variability and is given by this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

For this case we have

r = -0.39

And the determination coeffcient is just the correlation coeffcient square and we got:

R = r^2 = (-0.39)^2 =0.1521

And rounded to the nearest tenth thousand would be 0.1521

4 0
3 years ago
Solve the equation R-3=28/R R=
geniusboy [140]
<span>Remember that it's against our guidelines to copy content from other websites, books or any other material to which you don't own the rights to. We know you have the power to solve these problems on your own</span>
4 0
3 years ago
What is -8 3/8 -(-12 4/5) simplified
Illusion [34]
-8 3/8 = -8 15/40
-12 4/5 = -12 32/40 ,because you had to get a common denominator.
Since you are subtracting from a negative the negative turns into a positive.

-8 15/40 + 12 32/40 = 4 17/40 
4 0
4 years ago
15. In AABC if mZA is thirteen less than mzC and mZB is eleven less than four times m
vlabodo [156]

Answer:

m\angle A=21°

m\angle B=125°

m\angle C=34°

Step-by-step explanation:

Let the measure of angle C be x°.

Given:

In triangle ΔABC,

m\angle A is thirteen less than m\angle C and m\angle B is eleven less than four times m\angle C. This gives,

m\angle A = x-13

m\angle B=4x-11

Also, m\angle C=x

Now, for a triangle, the sum of all its interior angles is equal to 180°.

Therefore, m\angle A + m\angle B + m\angle C=180

Plug in all the values and solve for x. This gives,

x-13+4x-11+x=180\\6x-24=180\\6x=180+24\\6x=204\\x=\frac{204}{6}=34

Therefore, measure of angle C is 34°.

Measure of angle A is, m\angle A=x-13=34-13=21°.

Measure of angle B is, m\angle B=4x-11=4(34)-11=136-11=125°.

8 0
3 years ago
The length of a garden box is 6 feet longer than 4times the width. If the length of the garden box is 22 feet, what is the width
erica [24]

Answer:

Width of the garden box = 4 feet

Step-by-step explanation:

Given that:

Length of garden box = 22 feet

Let,

w be the width of garden box

It is also given that:

The length of a garden box is 6 feet longer than 4 times the width.

L = 4w + 6

Putting L = 22

22 = 4w + 6

22 - 6 = 4w

4w = 16

Dividing both sides by 4

\frac{4w}{4}=\frac{16}{4}\\w=4

Hence,

Width of the garden box = 4 feet

7 0
3 years ago
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