Answer:
y = x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= - = - =
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line
Answer:
4.2 days
Step-by-step explanation:
Number of Weeks during which she practiced =4 weeks
Convert from weeks to days = 4 X 7=28 days
Since she practices all of her scales 15% of her practice days.
Number of Days that she practiced all her scales
=15% X 28
=0.15 X 28
=4.2 days
Answer:
71º is measure of angle A
19º is measure of angle B
Step-by-step explanation:
complementary angles are angles that equal to 90º
so let's add the terms (from angles A & B) and set them equal to 90º
3x+2 + x-4 = 90
4x -2 = 90
add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms
4x = 92
divide both sides by 4
x=23
We're not done though, we must plug in our x value to Angle A terms and Angle B terms.
(3(23) + 2)º = measure of Angle A (solve for both of them)
(23-4)º = = measure of Angle B
3(23) + 2 =
3(23) = 69 (add the 2)
71º is measure of angle A
23-4 = 19º
19º is measure of angle B
double-check
71+19 = 90º
It works
Answer:
(-∞,7) U (7,∞)
Step-by-step explanation:
All real values of x such x ≠ 7