Answer:
B. (-2,-4)
Explanation
Given equations:
y = 3x + 2
y = -2x - 8
Solving both equations will yield the values of x and y;
Solution:
y = 3x + 2 ----- (i)
y = -2x - 8 ------ (ii)
Using substitution method, input equation i, into ii
3x + 2 = -2x - 8
Collect like terms and solve;
3x + 2x = -8 -2
5x = -10
x = -2
Then put x = -2 into i, to find y
y = (-2 x 3) + 2
y = -6 + 2 = -4
So, the solution of the equation is B. (-2,-4)
Answer:
5 different orders. hope this help
Answer:
x = 5/3
Step-by-step explanation:
You ALWAYS want your term to be by itself!! So what you need to do is move your constant away from it.
Step 1: Adjust as needed, subtract 10 from both sides of your equation. It should end up like this.
-3x = 5 - 10
Step 2: Solve as needed before continuing equation.
-3x = -5
Step 3: Now you need to get your term by itself. You should divide -3 on both sides of your equation so you should get something like this.
x = -5 / -3
Step 4: You're basically done now! Just simplify! NEGATIVES CROSS EACH OTHER OUT!!!
x = 5/3 OR 1.6
<em>KEY:</em>
<em>Negative and Negative = Positive</em>
<em>Negative and Positive = Negative</em>
<em>Positive and Positive = Positive</em>
Explanation:
x + 3y = 2
<u>Converting it to slope intercept form</u>:
y = mx + b [where m is slope, b is y-intercept]
<u>Make y the subject</u>:
<u>which reveals slope</u>:
Answer:
Part A) x=9 and m∠FGH=29°
Part B) m∠HGI=29°
Part C) m∠FGI=58°
Step-by-step explanation:
Part A) Solve for x and find m∠FGH
we know that
m∠FGI=m∠FGH+m∠HGI
If GH bisects FGI
then
m∠FGH=m∠HGI
substitute the values
4x-7=5x-16
solve for x
5x-4x=16-7
x=9
m∠FGH=4x-7
m∠FGH=4(9)-7=29°
Part B) Find the measure of angle HGI
m∠HGI=5x-16
Remember that
m∠FGH=m∠HGI
Verify
m∠HGI=5(9)-16=29° -----> is correct
Part C) Find the measure of angle FGI
m∠FGI=m∠FGH+m∠HGI
substitute the values
m∠FGI=29°+29°=58°
