Answer:
x=2 y=-5
Step-by-step explanation:
7x-y=19
2x-3y=19
Multiply the first equation by -3
-3(7x-y)=19*-3
-21x +3y =-57
Add this to the second equation to eliminate y
-21x +3y =-57
2x-3y=19
-----------------------
-19x = -38
Divide by -19
-19x/-19 = -38/-19
x = 2
Now we need to find y
7x-y = 19
7(2) -y =19
14 -y =19
Subtract 14 from each side
14-14 -y=19-14
-y=5
Multiply by -1
y = -5
Answer:
ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
Step-by-step explanation:
It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.
If a figure is dilated then preimage and image are similar.
If scale factor is between 0 to 1, then preimage is reduction of image.
If scale factor is more that 1, then preimage is enlargement of image.
If scale factor is 1, then preimage is congruent to the image.
We know that
So,
Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
Answer:
1. r = 5 m 2. a = 25.6 m/s²
Step-by-step explanation:
The relation between the velocity, the radius of path and the acceleration on the circular path is given by :
1. Acceleration, a = 39.2 m/s²
Velocity of the car, v = 14 m/s
The radius of the path can be calculated using the above formula i.e.
2. Velocity of the car, v = 8 m/s
The radius of the path, r = 2.5 m
The acceleration of the car is given by :
Hence, this is the required solution.
distributive property is when you take the number on the outside of the parenthesis and you, well, distribute it to the inside numbers.
so
35(5 + 7)
you have to do 35 * 5 and 35 * 7
its 175 and 245, and then you add those to get 420
same with 12
12 * 6 and 12 * 5
that's 72 and 60
72 - 60 = 12
you minus cause in the parenthesis it's a minus symbol in this case
please thanks if this helped or if u need more help just ask me
You would do 120 mins divides by 15 miles = 8
1 mile = 8 mins
6 x 8 = 48 mins