Answer:
18
Step-by-step explanation:
First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2
AB=BC
AB = 4x - 2 BC = 3x + 3
4x - 2 = 3x + 3
Solve for x Add 2 to each side
4x - 2 = 3x + 3
4x - 2 + 2 = 3x + 3 + 2
4x = 3x + 5 Subtract 3x from each side.
4x - 3x = 3x- 3x + 5
4x - 3x = 5
x = 5
Now plug back in to the original equations
AB = 4x - 2 BC = 3x + 3
AB = 4 (5) - 2 BC = 3(5) + 3
AB = 20 - 2 BC = 15 + 3
AB = 18 BC = 18
So AB is 18
Answer:
9) 4
10) p¹⁵/q⁹
Step-by-step explanation:
9)
As per the law of indices, (xᵃ)ᵇ=xᵃᵇ.
So divide 8 by 2 to get 4
10)
p(p⁻⁷q³)⁻²q⁻³
p(p¹⁴q⁻⁶)q⁻³ <em>(because (xᵃ)ᵇ=xᵃᵇ)</em>
pq⁻³(p¹⁴q⁻⁶)
p¹⁵q⁻⁹
p¹⁵/q⁹ <em>(because x⁻ᵃ =1 /xᵃ)</em>
Answer:
yes
Step-by-step explanation:
In this question, we're trying to find how many miles a car travels in 15 minutes.
We know that the car travels at 85 mph.
However, we need to know how many miles it travels per minute.
To find this, we would divide 85 by 60.
85 ÷ 60 = 1.4166
The car drives at a speed of about 1.42 per minute.
We need to know how far it goes in 15 minutes, so multiply 1.42 by 15.
1.42 · 15 = 21.3
The car travels at a approximately 21.3 miles in 15 minutes.
Y is equal to 23 and x is equal to 28. This is because you can move 3y over to the corner to its left that matches the position 3y is in. From there you set 3y + 5y -4 = 180 because the add up to a straight line. Then you get 23 for y and you can use that to make 3y=69. Use the 69 to set it equal to 2x +13 and solve to get x=28.
