Answer:
p = -2/5 or 3/8
Step-by-step explanation:
|5 − 3p| + 9 = 13p + 8
|5 − 3p| = 13p − 1
If 5 − 3p is positive:
5 − 3p = 13p − 1
6 = 16p
p = 3/8
If 5 − 3p is negative:
-(5 − 3p) = 13p − 1
-5 + 3p = 13p − 1
-4 = 10p
p = -2/5
Alternatively, we can square both sides of the equation:
(5 − 3p)² = (13p − 1)²
25 − 30p + 9p² = 169p² − 26p + 1
0 = 160p² + 4p − 24
0 = 40p² + p − 6
0 = (5p + 2) (8p − 3)
p = -2/5 or 3/8
Answer:
1) <2 ; 60
2) <3 ; 60
3) <4 and <3. <4 = 120 and <3 = 60
4) <1, <3, and <4 = 125. <2 = 55
Step-by-step explanation:
1)
Corresponding angles are equal
2)
Alternate interior angles are equal
3)
<4 and <3 are same-side interior angles. This makes them supplementary angles
<4 = 120
<3 = 60
4)
<1 = <4 = <3. All of these angles equal 125.
<2 + <1 = 180
<2 + 125 = 180
<2 = 55
Answer:
x=−0.433107,3.352224
Rounding up should be -0.4 and 3.4
Step-by-step explanation:
Alysha is 13 yrs old while Bryce is 15
Since the slope and the y-intercept for the equation of y = mx + b doesn't exist, you don't need to include it.
y = mx + b
Without the m and b, which are the slope and y-intercept, you are left with x.
Then, you need to figure out whether the line is horizontal, or vertical.
If the line is vertical, you keep the x, and find out the value x is on for every point of y.
If the line is horizontal, you keep the y, and find out the value y is on for every point of x.
Since the line is vertical, we can use x = ?
The line is always at x=2, no matter what the y-value is, so the final equation would be x=2.
<em>I hope this helped you! :)</em>
