Answer:
y = - 3x
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 + 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 3 ) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - 3x ← equation of parallel line
Answer:
278 cheeseburgers and 350 hamburgers sold on Thursday
Step-by-step explanation:
To confirm that these combined equal 628 we can add them together using the equation 278 + 350. Once confirm that these both equal 628 when combined, we can find the difference between the 350 hamburgers and 278 cheeseburgers by subtracting one from the other using the equation, 350 - 278. When you do that, you will get a difference of 72 which means that there were 72 fewer cheeseburgers sold than hamburgers.
(sorry if this is confusing, I'm not good at explaining things)
Answer:
The definition of a z-score is:
z = (X - μ)/σ where X is our given score (33), μ is the distribution's mean (40) and σ is the distribution's standard deviation (9).
To calculate the z-score for 33, plug the numbers in:
z = (33 - 40)/9 = -7/9 = -.78
Hope this helps!
Step-by-step explanation:
Answer:
4x+40=120
Step-by-step explanation:
Vertical angles are congruent so you would set them equal to each other.
Answer:
<h2><em>
0.1π rad</em></h2>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
A circle has a radius of 19m . Find the radian measure of the central angle θ that intercepts an arc of length 5m. Do not round any intermediate computations, and round your answer to the nearest tenth.
The formula for calculating the length of an arc 
θ is the central angle
r is the radius of the circle = 19m
L is the length of an arc = 5m
Substitute the given values into the formula and get the central angle θ
5 = θ/360 * 2(22/7)*19
5 = θ/2π * 119.4285714
θ/2π = 5/119.4285714
θ/2π = 0.041866
θ = 2π*0.041866
θ = 0.083732π
θ = 0.1π rad (to the nearest tenth)
<em>Hence the radian measure of the central angle that intercepts an arc of length to the nearest tenth is 0.1π rad</em>