Your answer is (8,6)
What is the solution to the equation? 4(x – 3) = 7x + 24 A. x = 12 B. x = –12 C. x = –36 D. x = 4
1 answer:
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Answer:
W = 2 cm
L = 5 cm
Step-by-step explanation:
A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.
A = l*w
10 = (4w - 3)(w)
10 = 4w² - 3w
Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.
4w² - 3w - 10 = 0
Substitute a = 4, b = -3 and c = -10.
There are two possible solutions which can be found.
3 + 13 / 8 = 16/ 8 = 2
3 - 13 / 8 = -10/8 = -5/4
Since w is a side length or distance, it must be positive so w = 2 cm.
If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.
Answer:
The monthly cost would be equivalent to
Using a graph tool
see the attached figure
Let
D----------> the diameters of the circle O
D=8 in
D=8 in is < 10 in and D=8 in is > 5 in
the center of the circle is the point (0,0)
the circumference of the circle=pi*D-------> 8*pi in
the circumference value estimate is about 24 in
the circumference value using a calculator is ----> 8*pi----> 25.13 in
the difference in the exact value and the estimate value is
25.13-24--> 1.13 in
see the attached figure
Let
D----------> the diameters of the circle O
D=8 in
D=8 in is < 10 in and D=8 in is > 5 in
the center of the circle is the point (0,0)
the circumference of the circle=pi*D-------> 8*pi in
the circumference value estimate is about 24 in
the circumference value using a calculator is ----> 8*pi----> 25.13 in
the difference in the exact value and the estimate value is
25.13-24--> 1.13 in