Find the value of “a”

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

Answer:

The correct answer is a = 8.

Step-by-step explanation:

To solve this problem, we must remember the formula for slope, which is:

slope = m = (y2 - y1)/(x2 - x1)

Now, we can plug in the values that we are given into the slope formula:

-3/2 = (-3-6)/(a-2)

Now, we should begin to simplify the equation.

-3(a-2) = 2(-9)

We can use the distributive property to eliminate the parentheses on each side of the equation:

-3a + 6 = -18

Then, we can subtract 6 from both sides of the equation to get the variable term alone on the left side of the equation:

-3a = -24

Finally, we should divide both sides by -3 to completely isolate the variable on the left side of the equation:

a = 8

Therefore, the correct answer is a= 8.

Hope this helps!

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3 years ago

Which expression is NOT equal to 125? (1 point)

DENIUS [597]

Choice 1:
= 5 * [5^3 / (2/5)]^2
= by looking at the equation, it's kinda not equal to 125

choice 2:
= [5^3 / 5^4]^-3
= 5^-9 / 5^-12
= 5^(-9 - -12)
= 5^3
= 125

choice 3:
= 5^-2 / 5^-5
= 5^(-2 - -5)
= 5^3
= 125

choice 4:
= 5 * 5^5/5^3
= 5 * 5^(5-3)
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= 5^3
= 125

So the expression that is not equal to 125 is:
<span>5 times the quotient 5 cubed over two-fifths, raised to the second power</span>

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2 years ago

Hat is the slope of the linear relationship shown in this table of values?

dlinn [17]

By using any two of the points in the table, we will see that the slope is -2.

<h3>How to get the slope for the linear relationship?</h3>

A general linear relationship is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:

$a = \frac{y_2 - y_1}{x_2 - x_1}$