Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
No, the question is stating the product of a number (the variable n represents the number) and 10 is 142. In other words, 10 times another number is 142. Hence, the answer would be A.
Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m = 
m = 
m = 
Equation of the line passing through C(4, 5) and slope m = 
y - y' = m(x - x')
y - 5 = 
y = 
y = 
If point B(4, 0) lies on the line CD,
0 = 
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.
The square pyramid with a base with edges of 6 inches and slant height of 4 inches have a surface area of 84 in².
The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The square pyramid with a base with edges of 6 inches and slant height of 4 inches. Hence:
Surface area = (6 * 6) + 2(6 * 4) = 84 in²
The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.
Find out more on equation at: brainly.com/question/2972832
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Answer:
1:3
Step-by-step explanation:
Since your scaling down you divide the smaller number by the larger number
7/21=1/3
=1:3
Hope this helps :)