Answer: 1.The total cost = 4x + 2y
2.The total cost = 2y + 4x
3.The total cost = 6x + 4y
4.The total cost = 4y + 6x
Step-by-step explanation: mark me brailyest and like aslo follow
Answer:
Base of the mirror is 12 feet and height of the mirror is 18 feet.
Step-by-step explanation:
Given:
Area of the triangular mirror = 108 sq ft.
Let base (b) of the mirror be x.
Now given:
height is 6 feet less than twice the base of the mirror
So we can say that;
Height (h) =
We need to find the base and height of the mirror.
Solution:
Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.
Now Area of triangle is half times base times height.
framing in equation form we get;
Now we will find the roots of x by factorizing the equation we get;
Now we will solve for 2 values of x we get;
Now we get 2 values of 'x' one positive and one negative.
Since x is base of the triangle which cannot be negative.
so we will discard the negative value.
Hence;
base of triangle = 12 ft
Height of the triangle =
Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.
Five thousand four hundred and eighty-seven
Answer:
A
Step-by-step explanation:
Given
y - 2x - 8 = 0 ( add 2x + 8 to both sides )
y = 2x + 8 → (1)
y² + 8x = 0 → (2)
Substitute y = 2x + 8 into (2)
(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify
4x² + 32x + 64 + 8x = 0
4x² + 40x + 64 = 0 ( divide through by 4 )
x² + 10x + 16 = 0 ← in standard form
(x + 8)(x + 2) = 0 ← in factored form
x + 8 = 0 ⇒ x = - 8
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)
x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )
Calculate the length of PQ using the distance formula
PQ =
with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )
PQ =
=
=
=
=
=
= ×
= 6 → A