Answer:

Step-by-step explanation:
You can solve this two ways: insert the values into point-slope form and simplify to solve for y, converting it to slope-intercept form, <em>or</em><em> </em>insert the values into slope-intercept form, solve for b, and insert b. We'll do both :)
<em><u>Point-slope form:</u></em>

Where:
is the slope
and
are corresponding coordinate points 
Insert the given values:

Solve for y. Expand the right sie using the distributive property:

Isolate the variable. Subtract 6 from both sides, canceling out the 6 on the left:

<em>OR</em>
<em></em>
<em><u>Slope-intercept form:</u></em>

Where:
is the slope
is the y-intercept
and
are corresponding coordinate points 
Insert the given values:

Simplify the multiplication:

Solve for b. Add 10 to both sides, canceling out the 10 on the right:

The value of b is 4. Insert the appropriate information into the equation. When using slope-intercept form, you don't plug in the coordinate points:

:Done
Answer: -6/25
Step-by-step explanation: The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(3/5, 21/25) = 25
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1. Finish the multiplication The two fractions now have like denominators so you can subtract the numerators.The two fractions now have like denominators so you can subtract the numerators. Then boom you have -6/25 good luckkkkkkk
Answer:
ari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.
What did Mari forget?
A
that is neither positive nor negative
B
to move left on the number line
С
to keep the sign of the larger integer
D
to keep the sign of the two integers being adde
Step-by-step explanation:
Answer:
∠?=40°
Step-by-step explanation:
Remember that in a line AND a triangle there are <u>180 degree</u>s.
You correctly found the third angle in the left triangle to be 69°, Now plug it into the equation for a line, including 71°:
<u>69°+71°+x=180°</u>
1) Combine the degrees:
140°+x=180°
2) Subtract 140° from both sides:
x=40°
We have now found the bottom left angle for the triangle on the right to be 40°
To find the angle labeled "?" You must plug in all of the known angles of the triangle to be equal to 180°:
40°+100°+x=180°
1) Combine the degrees:
140°+x=180°
2) Subtract 140 from both sides:
∠?=40°