Complementary angles add up to 90.
Say the complementary angle is A.
Angle A + Angle B = 90
Angle A + 60 = 90
Angle A = 30 degrees
Hope this helps :)
Answer:
x = 5
Step-by-step explanation:
The area (A) o a rectangle is calculated as
A = lb ( l is length and b the breadth ), thus
x² + x - 12 × 
= 126 ← factor the quadratic
(x + 4)(x - 3) × = 126 ← cancel the common factor (x - 3)
(x + 4)(x + 9) = 126 ← expand factors using FOIL
x² + 13x + 36 = 126 ( subtract 126 from both sides )
x² + 13x - 90 = 0 ← in standard form
(x + 18)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 18 = 0 ⇒ x = - 18
x - 5 = 0 ⇒ x = 5
However x > 0 ⇒ x = 5
Answer:
Step-by-step explanation:
What do you man what expressions or just expressions in general.
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
Answer:Pool B is being filled quicker
Step-by-step explanation: It is being filled quicker because 4 is a bigger number than 3 so there is your answer
