Answer:
9m^2 + 18m + 9
Step-by-step explanation:
(3m + 3)2
Square ;
(a + b)^2 = a2 + b2 + 2ab
(3m + 3)2
= (3m)^2 + (3)^2 + 2 (3m)(3)
= 9m^2 + 9 + 18m
= 9m^2 + 18m + 9
Answer:
3X+3+10X-4=90
13X-1=90
13X=91
X=91/13=7
<K=10X7-4
70-4
<K=66(SUM OF COMPLEMENTARY ANGLE =90)
<K=24
Answer:
(–5, –7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope = 9/5
Coordinate 1 = (–10, –16)
x₁ = –10
y₁ = –16
Coordinate 2 = (x₂, y₂)
Next, we shall determine the change in x and y coordinate. This can be obtained as follow:
Slope = change in y–coordinate / change in x–coordinate
Slope = Δy / Δx
Slope = 9/5
9/5 = Δy / Δx
Thus,
Δy = 9
Δx = 5
Next, we shall determine the second coordinates as follow:
Δy = y₂ – y₁
Δx = x₂ – x₁
For x–coordinate:
x₁ = –10
Δx = 5
Δx = x₂ – x₁
5 = x₂ – (–10)
5 = x₂ + 10
Collect like terms
x₂ = 5 – 10
x₂ = – 5
For y–coordinate:
y₁ = –16
Δy = 9
Δy = y₂ – y₁
9 = y₂ – (–16)
9 = y₂ + 16
Collect like terms
y₂ = 9 – 16
y₂ = – 7
Coordinate 2 = (x₂, y₂)
Coordinate 2 = (–5, –7)
Area of rectangle = Length*width
A = 28 so 28 = 4 * height
height = 28/4 = 7