Answer: I think it is A.
Step-by-step explanation:
Answer:
X=6
Step-by-step explanation:
I'm assuming your teacher meant to say "line segment AB" and not "line segment AD". Point D is not given at all. If that assumption holds up, then you can proceed with the rest of the solution below. If not, then you'll have to talk to your teacher. I think its a typo but its possible that there's more context somewhere that I'm not seeing (a diagram maybe?)
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We're given the two points (2,7) and (5,1). The first thing we need to do is find the slope of the line through those points. Lets assign them to be equal to (x1,y1) and (x2,y2), so,
(x1,y1) = (2,7) and (x2,y2) = (5,1)
which further breaks down into these four items:
x1=2
y1=7
x2=5
y2=1
Plug each of those into the slope formula and simplify
m = (y2 - y1)/(x2 - x1)
m = (1 - 7)/(5 - 2)
m = (-6)/(3)
m = -2
The slope is -2. We'll use this to find the y intercept. We'll also use one of the points given to us, say the point (2,7)
(x,y) = (2,7) ---> x = 2 and y = 7
Plug m = -2, x = 2, and y = 7 into the equation below and solve for b
y = m*x + b
7 = -2*2 + b
7 = -4 + b
7 + 4 = -4 + b + 4
11 = b
b = 11
So we figured out that m = -2 is the slope and b = 11 is the y intercept
Therefore, the equation y = mx+b turns into y = -2x+11
Final Answer: y = -2x+11
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Checking the answer:
plug in x = 2 and we get...
y = -2*x + 11
y = -2*2 + 11
y = -4 + 11
y = 7
so that proves (x,y) = (2,7) is on the line y = -2x+11
Plug in x = 5 and we get...
y = -2*x + 11
y = -2*5 + 11
y = -10 + 11
y = 1
so that proves (x,y) = (5,1) is on the line y = -2x+11
Both points are on the same line y = -2x+11 so the answer is confirmed
Answer:
x = 8
Step-by-step explanation:
The complete question illustrates that the rectangle has sides ABCD and I've represented it as an attachment.
We have that:
AB = 3x
AD = 7x
The perimeter is calculated as:
Perimeter = 2 * (AB + AD)
Substitute values for AB, AD and Perimeter
160 = 2 * (3x + 7x)
160 = 2 * 10x
160 = 20x
Divide both sides by 20
8 = x
x = 8
Answer:
Step-by-step explanation:
We are given the function f(x) = -3/4(x) +6.
We know that the slope intercept form of a line is y = mx + b
Here, the slope m = -3/4.
The y-coordinate of the y intercept is b = 6 so the y-intercept is at the point (0,6) [x is always 0 at the y-intercept]
If you have to points you can graph the line, we only have the point (0,6).
To find the second point we use the slope.
We add the bottom point of the slope to the x coordinate of the y-intercept and we add the top part of the slope to the y coordinate of the y-intercept, so our second point is (0 + 4, 6 +(-3)) = (4, 3).
You then plot the points we have: (0,6) and (4,3) and draw the line through them.
