Answer:
Answer:
The width is 4 units, and the length is 10 units.
Step-by-step.
Step-by-step explanation:
area of rectangle = length * width
Let L = length; let W = width.
"The length is 6 units greater than the width.": L = W + 6
area = LW = 40
Since L = W + 6, we substitute L with W + 6.
(W + 6)W = 40
W^2 + 6W = 40
W^2 + 6W - 40 = 0
(W - 4)(W + 10) = 0
W - 4 = 0 or W + 10 = 0
W = 4 or W = -10
A width cannot be a negative number, so we discard the solution W = -10.
W = 4
L = W + 6 = 4 + 6 = 10
The width is 4 units, and the length is 10 units.
10meters=1000cm
1000-210=890
Mary has 890 centimeters of thread left on the reel.
The sum of √30 + √50 lies between 12 and 13.
<h3>What is the sum of the numbers?</h3>
The square root of a number can be described as number that when multiplied with itself yields that number.
√30 = 5.48
√50 = 7.07
5.48 + 7.07 = 12.55
The consecutive integers are 12 and 13
To learn more about how to calculate square root, please check: brainly.com/question/8085738
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Answer:
The translation is 1 unit to the left and 5 units down
Step-by-step explanation:
The explanation is given below;
Given that
The transform function is 
It can be seen that
The parent function is
After that
The parent function would be transform 1 units to the left 
And afterwards it would be transform in 5 units down 
So
The parent function would be translate in 1 unit to the left and 5 units down
Y = -4x + 2
3x + 2y = 6 (or in y-intercept form y=-3/2x + 3)
2x - y = 7 equals y = 2x -7 in y-intercept form. This means that the line has a positive slope and therefore goes upwards. This cannot be a potential equation because the line shown is clearly pointing downwards.
y=5 indicates that the line is a horizontal line that neither points upwards or downwards. This cannot be a potential equation because the line is pointing downwards.
The only possible equations left are y= -4x + 2 and 3x + 2y = 6, both of which graph a line pointing downwards because their slopes are negative. Hope this helps!
