Your gonna distribute first
-4(3g-5)+10g=19 ——> -12g+20+10g=19
Combine like terms
-12g+20+10g=19 ——> -2g+20=19
Subtract 20 from both sides
-2g+20=19
-20 -20
Simplify, subtract the numbers
-2g=-1
—— ——
-2 -2
Answer: g= 1/2
Answer:
c) 2/5
Step-by-step explanation:
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Ax+by=c is the standard form
you are given the slope and a point, so first write the equation in point-slope form:
y-(-3)=2/3(x-6)
expand the equation: y+3=(2/3)x-4
(2/3)x-y=7 is the standard form
Answer:
x = 10 degrees
Step-by-step explanation:
angle EAB is a right triangle, which means it measures 90 degrees. it is also given as 5x + 4x
so,
5x + 4x = 90
9x = 90
x = 90/9 = <u>10</u>
Answer:
Step-by-step explanation:
X^2-3x=7/4 should first be rewritten in standard form, which here would be:
x^2 - 3x - 7/4 = 0.
1. Identify the coefficient of the x term and take half of that number:
-3/2
2. square this result: (-3/2)^2 = 9/4
3. add this last result, 9/4, between the -3x term and the -7/4 term, and then subtract it as shown:
x^2 - 3x + 9/4 - 9/4 - 7/4 = 0
4. Rewriting the first 3 terms as the square of a binomial, we get:
(x - 3/2)^2 - 16/4 = 0, or (x - 3/2)^2 = 16/4
5. Take the square root of both sides, obtaining:
x - 3/2 = ±√4/2 or ±√2
6. Write out the two roots: x = 3/2 + √2
and x = 3/2 - √2
