Answer- y = - x/2 + 5
Step by step - Replace f (x) with y.
Y = - 2x + 10
Interchange the variables.
x= -2y + 10
Solve for y.
Y= x/2 +5
Answer:
y = 7
x = 12
Step-by-step explanation:
14x+7y=217, then 14x = 217 - 7y
14x+3y=189, then 14x = 189 - 3y
217 - 7y = 189 - 3y
add 7y to each side of the equation:
4y + 189 = 217
subtract 1890 from each side:
4y = 28
divide both sides by 4:
y = 7
14x + 3(7) = 189
subtract 21 from each side:
14x = 168
divide both sides by 14:
x = 12
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
Answer:
They ate
of the pizza
Step-by-step explanation:
Carolyn and Joyce at 4 slices of pizza altogether, and since there are 12 slices of pizza, they ate
of the pizza.