Answer: x=5 or x=−5
Step-by-step explanation:
Hey there!
Line passes through (4, -1) & is parallel to 2x -3y=9
Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.
The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.
Start off by subtracting 2x from both sides.
-3y = -2x + 9
Then, divide both sides by -3.
y = (-2x + 9)/-3
Simplify.
y = 2/3x - 3
"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.
We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.
Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).
y-y₁=m(x-x₁)
Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.
y - (-1) = 2/3(x - 4)
Simplify.
y + 1 = 2/3 + 8/3
Simplify by subtracting 1 from both sides.
y = 2/3x + 8/3 - 1
Simplify.
y = 2/3x + 5/3
~Hope I helped!~
Answer: Elisa
Step-by-step explanation:
Elisa withdrew $20 at a time from her bank account and withdrew a total of $160. The number of times she made a withdrawal will be:
= $160 / $20
= 8 times
Frances withdrew $49 at a time from his bank account and withdrew a total of $196. The number of times she made a withdrawal will be:
= $196 / $49
= 4 times.
From the calculations above, we can see that Elisa made the greater number of withdrawals.
Answer:
The number is 1/4
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Step-by-step explanation:
Look at the photo below for the details.
:)
Answer:
Perimeter of rectangle:
Step-by-step explanation:
We are given the following in the question:
Length of rectangle:
Width of rectangle:
Perimeter of rectangle:
Expressions to calculate perimeter
The attached image shows the image of the rectangle.
