Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Katrina'a home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. Th elibrary is 4 miles from her home. The football field is 18 miles from the library?
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100 points with work
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Assuming that you mean that the equation of line c is
We can deduce that the slope of line c is
since the slope is the coefficient multiplying x in the equation of a line. Since we want line d to be perpendicular to line c, their slope must be in the following relationship:
So, line d has slope 3/4 and passes through point (4,-4). Use the equation
to find the equation of line d, where
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Answer:
C Option is the right one. (•‿•)(•‿•)(•‿•)(•‿•)
Answer:
Its B
Step-by-step explanation:
Distribute and do not forget the minus in the middle and the 4 is negative
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area=108 in. squared
12/2 gives you the radius (6)
6 squared is 36
36 times 3 is 108
5x + 9y = 6
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5x + 9y = 6
5x − 20y = 35 //1st * 5
5x + 9y = 6
5x +9y - 5x + 20y = 6 - 35 //2nd - 1st
5x + 9y = 6
29y=-29
5x=6-9y
y=-1 //1st : 29
5x=6-9*(-1)
y=-1
x=15:5 //2nd : 5
y=-1
x=3
check:
for x=3 and y=-1 there is:
x − 4y = 7 is 3 − 4*(-1) = 7 is 7=7 ok
5x + 9y = 6 is 15-9=6 is 6=6 ok
answer: (3;-1) represents the solution.
Answer:
It’s 3,-1
Step-by-step explanation:
You have to plug in the points u can use a calculator or work it by hand but I did it on the calculator and that’s what I got
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Answer:
5
Step-by-step explanation:
To find the x-intercept of the line 4x+11y=20, we need to set y=0 and solve for x. This is because the x-intercept is the point where the line crosses the x-axis, which is the point where y=0.
First, substitute y=0 into the equation: 4x+11(0)=20
Simplify: 4x=20
Solve for x: x=5
Therefore, the x-intercept of the line 4x+11y=20 is 5.
thank you sm!
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Answer:
To find the composite function (f ◦ g)(x), we need to substitute g(x) into f(x) and simplify.
Given:
f(x) = x
g(x) = -2x + 3
To find (f ◦ g)(x), we substitute g(x) into f(x):
(f ◦ g)(x) = f(g(x))
Substituting g(x) into f(x), we get:
(f ◦ g)(x) = f(-2x + 3)
Since f(x) = x, we replace f(-2x + 3) with (-2x + 3):
(f ◦ g)(x) = -2x + 3
Therefore, the composite function (f ◦ g)(x) is -2x + 3.