Answer:
Area = 230 cm
Step-by-step explanation:
We can split this shape into different parts: a rectangle and a triangle (I attached an image below as a visual aid).
The area of a rectangle is given as:
and the area of a triangle is given as:
Let's first solve for the area of the rectangle. The width of the rectangle is 20cm, and the height of the rectangle is 7cm. So, the area is 7 × 20 = 140cm.
Now, let's solve for the area of the triangle. The base of the triangle is 20 cm, and the height of the rectangle is 16 - 7 = 9cm. So, the area is 
= 90cm.
We add the two values together to get the combined area of the shape. 140 + 90 = 230 cm.
Equation 1 + equation 2
3x-8y +(-3x+10y) = 9+(-15)
2y= -6
then y=-3
from equation 1
3x-8y=9
3x-8(-3)=9
3x+24=9
3x=9-24=-15
then x=-5
Answer:
The slope is 2.5
Step-by-step explanation:
y = 2.5x + 5 or
y =
5/2x + 5
When x=0, y = 5
When y=0, x = -2
Answer:
(a) and (a)
Step-by-step explanation:
In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.
Given
solve (3 - x)(2 + x) = 0
Equate each factor to zero and solve for x
3 - x = 0 ⇒ x = 3
2 + x = 0 ⇒ x = - 2
x = 3 and x = - 2 are excluded values → (a)
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Given
solve
6x² + 10x - 4 = 0 ← in standard form
(x+ 2)(6x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
6x - 2 = 0 ⇒ 6x = 2 ⇒ x = 
x = and x = - 2 are excluded values → (a)
