Answer:
The solution in point form is (9,7) and the equation would be x+9, y=7
Step-by-step explanation:
By using moving the -4y to the right side and by flipping the signs you can turn the equation -x-4y=-37 into x=37-4y.
With this new equation you can use the substitution method and replace the x in -2x-5y=-53 with 37-4y, making it look like this: -2(37-4y)-5y=-53.
Then you solve for y getting y=7.
With the value of y, you can plug that into the equation x=37-4y so it will look like x=37-4(7)
Then you solve for x getting x=9
And with that you get the point (9,7)
Because these are not like terms, they cannot be combined. The variables are different, that's what makes them not like terms
Let S, M, L represent the shortest, mid-length, and longest sides, respectively. You are given three bits of information.
.. S +M +L = 14.5 cm
.. L = 2S
.. L = 6.2 cm
You can use an equation something like this to find the middle-length side.
.. (6.2 cm)/2 +M +6.2 cm = 14.5 cm
.. M +9.3 cm = 14.5 cm . . . . . . . . . . . . . constant terms collected
.. M = 5.2 cm . . . . . . . . . . . . . . . . . . . . . subtract 9.3 cm
Now, you know the side lengths are 3.1 cm, 5.2 cm, 6.2 cm.
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You have not offered any choices for "which equation," so take your pick of those used here.
Answer:
D. -2
Step-by-step explanation:
The zero of a function is always along the x-axis and in this case that's -2.
Hope this helps :)
Answer:
70 m × 10 m
Step-by-step explanation:
At a geological site, Judith is digging for sandstone. To mark off a rectangular area, Judith has 160 meters of rope and 4 stakes.
We have to choose from the given dimensions of rectangles where Judith can use all the rope she has to cover the rectangular area.
It is clear from the given conditions that the perimeter of the rectangular area should be exactly 160 meters.
So, the required dimensions of the rectangle are 70 m × 10 m, because the perimeter of this rectangle is exactly 160 meters. (Answer)
