Answer:
Step-by-step explanation:
Q3
Corresponding angles are congruent
- 6x - 11 = 37
- 6x = 11 + 37
- 6x = 48
- x = 8
Q4
Angle2 is complementary with 142 and alternate interior with 2(x + 9)
- 142 + 2(x + 9) = 180
- 142 + 2x + 18 = 180
- 2x + 160 = 180
- 2x = 20
- x = 10
<span>The signs of the values of m and b<span> are the same.</span></span>
Lets simplify each one of the rational expressions using the product rule of exponents:
and the quotient rule of exponents:
.
1.
2.
3.
4.
We can conclude that you should pair the rational expressions with their simplest form as follows:
Answer:
x=1
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x+4−3x=3x+2−3x
−2x+4=2
Step 2: Subtract 4 from both sides.
−2x+4−4=2−4
−2x=−2
Step 3: Divide both sides by -2.
-2x/-2 = -2/-2
We start by finding the intercept of the line: what does y equal when x=0? and what does x equal when y=0?
• intercept in x
y = 12 + 2x
0 = 12 + 2x
-12 = 2x
-6 = x
• intercept in y
y = 12 + 2x
y = 12 + 2(0)
y = 12 + 0
y = 12
Now we find three more points giving y a value and finding x
y = 12 + 2x
2 = 12 + 2x
2-12 = 2x
-10 = 2x
-5 = x
y = 12 + 2x
6 = 12 + 2x
6 - 12 = 2x
-6 = 2x
-3 = x
y = 12 + 2x
14 = 12 + 2x
14 - 12 = 2x
2 = 2x
1 = x
Notice how I gave y even numbers as values since we would have to divide with 2 at the end.
Sol. {(-6,0)(0,12)(-5,2)(-3,6)(1,14)}
