Answer:
2x+1=y
Step-by-step explanation:
Parallel means has the same slope, so slope equals 2
2x+b=y (we don't know the y-intercept)
plug in x and y
2(-4)+b=-7
-8+b=-7
b=1
so, 2x+1=y
Answer:
-45 =x
Step-by-step explanation:
1/5(4x-2.5) = 5(.4x+10) +3 1/2
Change all to decimal form
.2(4x-2.5) = 5(.4x+10) +3.5
Distribute
.8x - .5 = 2x +50 + 3.5
Combine like terms
.8x - .5 = 2x +53.5
Subtract .8x from each side
.8x-.8x - .5 = 2x-.8x +53.5
-.5 = 1.2x +53.5
Subtract 53.5 from each side
-.5 -53.5 = 1.2x +53.5-53.5
-54 = 1.2x
Divide each side by 1.2
-54/1.2 = 1.2x /1.2
-45 =x
Hey there!
Formula for the area of a triangle is (1/2)bh.
Base of this triangle is 5, height is 4.
Image attached.
Plug values into the formula:
A = (1/2)(5)(4)
Simplify.
A = (1/2)(20)
A = 10
Area of the triangle is 10 units².
Hope this helps!
Answer:
339π in³
Step-by-step explanation:
The amount of water is the difference between the volume of the cylinder and the volume of the ball. The appropriate volume formulas are ...
cylinder V = πr²h
sphere V = (4/3)πr³
For the given numbers, the volumes are ...
cylinder V = π(5 in)²(15 in) = 375π in³
sphere V = (4/3)π(3 in)³ = 36π in³
The water volume is the difference of these ...
water volume = cylinder V - sphere V
= 375π in³ - 36π in³ = 339π in³
