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3 years ago

Solve for substitution 8x+2y=13 and 4x+y=11

1 answer:

7 0

Solving for X:
1) y=-8x+6.5 y=-4x+11
2) -8x+6.5=-4x+11
3) -8x=-4x+11-6.5 (Subtract 6.5 from both sides)
4) -8x+4x=11-6.5 (Add 4x to both sides)
5)-4x=4.5
5)x=-1.125

Solving for Y:
y=-8(-1.125)+6.5
y=9+6.5
y=15.5

y=-4(-1.125)+11
y=4.5+11
y=15.5

x=-1.125
y=15.5
or
(-1.125,15.5)

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The attendance at a seminar in year 1 was 500. In year 2, the attendance changed by 100. What was the percent change in attendan

jeka57 [31]

Answer:

The answer is 20% :)

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2 years ago

Look at the figure. Find the value of x.<br> 30<br> 90<br> 45<br> 15

quester [9]

Answer: 15

Step-by-step explanation:

It's an Isosceles triangle meaning both sides are congruent (same)

So with that in mind we can make an equation making them equal to each other to find X.

3x = 5x - 30

Subtract 5x from both sides

-2x = -30

We can't have a negative x so we divide x by a negative

x = 15

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2 years ago

Which of the following are right triangles? A) Triangle ABC: AB=76 BC=357 AC=365

k0ka [10]

ANSWER

AB=76 BC=357 AC=365 This triangle is a right triangle.

EXPLANATION

We use the Pythagoras Theorem to determine whether the triangles are right triangles.

According to this theorem, the square of the hypotebuse is equal to the sum of the squares of the two shorter legs.

We have:

AB=76 BC=357 AC=365

${365}^{2} = {76}^{2} + {357}^{2}$

133225=5776+127449

133225=133225

For the second triangle, we have;

B) Triangle ABC: AB=123 BC=836 AC=845

845²=123²+826²

714025=15129+682276

714025≠697405

The first triangle is a right triangle

4 0

3 years ago

Suppose that y varies directly with x and y=10 when x=-20. What is y when x =15?

USPshnik [31]

Answer:

15/2

Step-by-step explanation:

You want to first find the connection between the first statement, y=10 and x=20. The connection is that Y is X divided by 2. Then you want to just do the same equation to the y and keep it a fraction. (Hint. a fraction is the same as what you do to divide, its just the equation before you find your answer.) so your answer is 15/2.

Hope its right, and i hope this helped.

8 0

2 years ago

What is the midpoint of the segment with the two endpoints (4,-6) and (-2,-3)? Put your answers in decimal form, if applicable.

Aneli [31]

Answer:

(1, -4.5)

Step-by-step explanation:

Given points are: (4, -6) and (-2, -3)

$\implies x_1= 4,\:x_2= -2,\:y_1= -6,\:y_2= -3$

$mid\: point =\bigg(\frac{x_1+x_2}{2},\: \frac{y_1+y_2}{2}\bigg)\\\\ = \bigg(\frac{4+(-2)}{2},\: \frac{-6+(-3)}{2}\bigg)\\\\ = \bigg(\frac{4-2}{2},\: \frac{-6-3}{2}\bigg)\\\\ = \bigg(\frac{2}{2},\: \frac{-9}{2}\bigg)\\\\ = (1,\: -4.5)$

4 0

2 years ago