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scoray [572]
3 years ago
13

What is the equation of the line that passes through (-2,4) (-6,10)

Mathematics
1 answer:
Nata [24]3 years ago
7 0

Answer:

\large\boxed{y-4=-\dfrac{3}{2}(x+2)}\to\boxed{y=-\dfrac{3}{2}x+1}\to\boxed{3x+2y=2}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-2, 4) and (-6, 10). Substitute:

m=\dfrac{10-4}{-6-(-2)}=\dfrac{6}{-4}=-\dfrac{6}{4}=-\dfrac{3}{2}\\\\y-4=-\dfrac{3}{2}(x-(-2))\\\\y-4=-\dfrac{3}{2}(x+2)

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Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
miv72 [106K]
The answer is -1/3

The slope m is:
m = (y2 - y1) / (x2 - x1)
(x1, y1) = (-2, 2)
(x2, y2) = (4, 0)

m = (0 - 2) / (4 - (-2)) = -2 / 6 = -1/3
6 0
3 years ago
A={1, 2, 3, 4, 5} e B = {2, 3, 7}, determine o conjunto A - B, ou seja, os elementos que pertencem somente a A e não a B .
Lostsunrise [7]

Responder:

A - B = {1, 4, 5}

Explicação passo a passo:

Conjunto A - Conjunto B; Isso significa que queremos um conjunto que contém apenas elementos que estão no conjunto A, portanto, os elementos do conjunto A que também estão presentes no conjunto B estão isentos.

A = {1, 2, 3, 4, 5}

B = {2, 3, 7}

A - B = {1, 4, 5}

Portanto, apenas] 1, 4, 5} são elementos do conjunto A e não do conjunto B

7 0
2 years ago
What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ
Sonbull [250]
If we convert the given in its mathematical form, we have,

                      (30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

                      ((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,
  
                               <em>5x²/2y³

</em>
<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
6 0
2 years ago
A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths 3 cm, x cm,
Pani-rosa [81]

Answer:

The value of x is 5 centimeters.

Therefore, option 3 is correct.

Step-by-step explanation:

A triangle has three sides 3,x and 4 cms

Since the triangle is right angle triangle  so, it will follow the Pythagoras theorem:

hypotenuse^2=side^2+side^2    (1)

We have been given three sides x,3 and 4

On substituting the values in (1) we get:

x^2=3^2+4^2

x^2=9+25

\Rightarrow x=5

Hence, the value of x is 5 centimeters.

Therefore, option 3 is correct.

Please look at the attachment for the figure.

3 0
3 years ago
Read 2 more answers
At the state fair 4 employees were paid $8.20 an hour to work at a corn-dog stand. They worked for 10 hours at regular pay and t
Katen [24]

Answer:

<u>The four employees earned $ 452.80 in total</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Hour rate = $ 8.20

Overtime hour rate = $ 2.20 extra

Regular hours = 10

Overtime hours = 3

Number of employees = 4

2. How much money did they earn in total?

Let's find out the individual pay for an employee and then we'll calculate the pay for the 4 employees:

Individual pay = 10 * 8.20 + 3 * 10.40

Individual pay = $ 113.20

Total pay = Individual pay * 4

Total pay = 113.20 * 4

<u>Total pay = $ 452.80 </u>

6 0
2 years ago
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