Answer:
(4, -23)
Step-by-step explanation:
We are given;
We are needed to determine the point that lies on the equation;
- We need to know that for a point to be lying on the equation it must satisfy the equation.
- This means when we use the value of x in the equation we should get the exact value of y of the given point;
Point (4, -23)
Replacing x = 4 in the equation;
y = -5(4) - 3
= -23
Therefore, the point lies on the equation as the point satisfies the equation
Thus, the required point is (4, -23)
Answer:
y=18.2 x=5.6
Step-by-step explanation:
sin 73 = y/19
19 sin 73 = y
cos 73 = x/19
19 cos 73 = x
Answer: 7/5m
Step-by-step explanation:
The initial value of the painting = m
Increase in the painting = 2/5
The final value of the painting will be the addition of the initial value of the painting and the increase. This will be:
= m + (2/5 × m)
= m + 2/5m
= 5/5m + 2/5m
= 7/5m
Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
