Answer:
9 units.
Step-by-step explanation:
Let us assume that length of smaller side is x.
We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is 
, then the proportion of their area is 
.
We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:
Take positive square root as length cannot be negative:
Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.
Answer:
Step-by-step explanation:
The answer should be 50 because 3 + 2 is 5
Answer:
(2, 1)
Step-by-step explanation:
To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.
y = 6x - 11
-2x - 3(6x - 11) = -7 Distribute.
-2x - 18x + 33 = -7 Combine like terms.
-20x + 33 = -7 Subtract 33 from both sides of the equation.
-20x = -40 Divide by -20 on both sides of the equation.
x = 2
Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.
y = 6(2) - 11
y = 12 - 11
y = 1
Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).
Answer:
6-(-67) = 73
Step-by-step explanation:
If k equals -67 the answer would be 73.
8 x 5 = 40
40 hours = 2400 minutes
2400>2250
Keith spends more time at work
