Answer:
A, C, E
Step-by-step explanation:
Plug in x for each point and compare it to the y
(x,y)
For example:
A. y = 2/5 (30) = 12 --> this means when x = 30, y = 12. Therefore, the point (30,12) is correct.
B. y = 2/5 (25) = 10 --> when x = 25, y = 10. This doesn't match with the answer choice, therefore, it is incorrect and not satisfy the equation.
so on and so on for the rest of it :)
Answer:
A. y = 2/5 (30) = 12 --> correct
B. y = 2/5 (25) = 10 --> incorrect
C. y= 2/5 (10) = 4 --> correct
D. y = 2/5 (40) = 16 --> incorrect
E. y = 2/5 (50) = 20 --> correct
F. y = 2/5 (14) = 5.6 --> incorrect
Answer:
Step-by-step explanation:
The unknown angle.
Start by finding the third angle. Call it x.
x + 125 + 32 = 180
x + 157 = 180
x = 180 - 157
x = 23
Now you are set to use the law of sines.
Call ? = x
x/sin(32) = 7/sin(23) Multiply both sides by Sin(32)
x = 7*sin(32)/sin(23)
x = 7*(0.5299) / sin(23)
x = 3.7094/ sin(23)
x = 3.7094 / 0.3097
x = 9.4935
Rounded to the nearest 10th
x = 9.5
It would have to be C. point.
Since it says AB that marks two points and a line in between them. If only talking about A, it would be a point.
The chance is 3/5 that the light will be green.
Added together the total seconds for the traffic light to complete the cycle is 120 (38+72 (1 min and 12 sec) +10.
And the green light proportion is: 72/120
We simplify by dividing by 12, which is a factor and we get: 6/10 that simplifies to 3/5.
Hope this helps!
Answer:
y=(5/2)x+(-11/2)
Problem: What is the slope-intercept form for a line going through (3,2) and is parallel to y=(5/2)x-5?
Step-by-step explanation:
Parallel lines have the same slope.
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept. So we see that m=5/2 since that is the slope of y=5/2 x-5.
y=(5/2)x+b
We know (x,y)=(3,2) is a point on the line so replacing x with 3 and y with 2 gives:
2=(5/2)(3)+b
2=(15/2)+b
Subtract 15/2 on both sides:
2-(15/2)=b
Simplify:
(4-15)/2=b
(-11/2)=b
So the equation is:
y=(5/2)x+(-11/2)
