Answer: Choice B
(-2, 5)
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Explanation:
The original system is
Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations
Now add straight down
The x terms add to -4x+3x = -1x = -x
The y terms add to 3y+(-3y) = 0y = 0
The terms on the right hand sides add to 23+(-21) = 2
We end up with the equation -x = 2 which solves to x = -2
Now use this to find y. You can pick any equation with x,y in it
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-4x+3y = 23
-4(-2)+3y = 23
8+3y = 23
3y = 23-8
3y = 15
y = 15/3
y = 5
Or
x-y = -7
-2-y = -7
-y = -7+2
y = -5
y = 5
Either way, we get the same y value.
So that's why the solution is (x,y) = (-2, 5)
Answer:
3/4
Step-by-step explanation:
Maria practiced for her piano recital each day for three days. the first day she practiced for 3/4 hour, the second day she practiced for 1 1/2 hours, and the third day she practiced for 2 1/4 hours. by how much did she increase the time she practiced each day?
the increase in hours practiced can be determined by calculating the difference between the hours practiced on the second and first day
the lowest common multiple that can divide 2 and 4 is 4.
if 2 is subtracted from 3, the answer would be negative. So, borrow 1 from the whole number. the value of this borrowed one would be equal to 4 which is the LCM. Add 4 to 2. this gives 6
Answer:
b d and e
Step-by-step explanation:
just simplify or modify each answer and you'll see which equate to 4 root 6. takes 2 mins.
Answer:
The exact length of 
is 15·π m
Step-by-step explanation:
In the question, we are given;
The radius of the circle with center P, PD, r = 9 m
The measure of m∠APB = 120°
The measure of m∠APC = 60°
The circumference of the circle, C = 2·π·r
∴C = 2 × π × 9 m = 18·π m
= 60°/360° × C = (1/6) × C
∴ = (1/6) × 18·π m = 3·π m
= C -
∴ = 18·π m - 3·π m = 15·π m
= 15·π m ≈ 47.124 m
Therefore, the exact length of = 15·π m
Answer:
1800 screws per hour
Step-by-step explanation:
