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Nikolay [14]
3 years ago
12

Can someone please help me with this?!

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0
To put the given line in standard form, a factor of 2 must be removed from each of the numbers.

Given line in standard form:
.. 3x -y = 9

The perpendicular line through point (h, k) can be found from the formula
.. (-given coefficient of y)*(x -h) +(given coefficient of x)*(y -k) = 0
.. 1*(x -(-7)) +3*(y -4) = 0 . . . . . . . . . (h, k) = (-7, 4)

Eliminating parentheses, you have
.. x +7 +3y -12 = 0

In standard form, the equation is
.. x +3y = 5

_____
The slopes of perpendicular lines are the negative reciprocal of each other. That is, their product is -1. For line ax +by = c, the slope is given by -a/b. The negative reciprocal of that is b/a, corresponding to line bx -ay = (some constant).

When the constant is zero, the line goes through the origin. You can translate the line to make it go through any point (h, k) by writing the equation as
.. b(x -h) -a(y -k) = 0
For the line to be in "standard form", the leading coefficient must be positive. If b < 0, then you want to write
.. -b(x -h) +a(y -k) = 0
as we have above.
Of course, this can be rearranged to
.. -bx +ay = -bh +ak . . . . standard form (when b<0)

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Without overlapping, how many college basketball courts 94ft x 50ft would fit into a football field 360ft x 160ft?
Volgvan
Area of basketball court: 94 x 50 = 4700 square feet

area of football field: 360 x 160 = 57600 square feet

57600 / 4700 = 12.26

so 12 basketball courts 
7 0
3 years ago
In the function y=5x^2-2, what effect does the number 5 have on the graph, as compared to the graph of y=x^2?
allochka39001 [22]

General Idea:

The Rules for Transformations of Functions are given below:

If f(x) is the original function, a > 0 and c > 0; Then

f(x)+k \; \; shift \; f(x) \; UPWARD \; k \; units\\\\f(x)-k \; \; shift \; f(x) \; DOWNWARD \; k \; units\\\\f(x+h) \; \; shift \; f(x) \; LEFT \; h \; units\\\\f(x-h) \; \; shift \; f(x) \; RIGHT \; h \; units\\\\-f(x) \; \; REFLECT \; f(x) \; in \; the \; x-axis\\\\f(-x) \; REFLECT \; f(x) \; in \; the \; y-axis\\\\a \cdot f(x), \; a>1 \; STRETCH \; f(x) \; vertically \; by \; a \; factor \; of \; a\\\\a \cdot f(x), \; 0

f(ax), \; a>1 \; SHRINK \; f(x) \; horizontally \; by \; a \; factor \; of \;\frac{1}{a}  .\\\\f(ax), \; 0

Applying the concept:

In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:

C.it stretches the graph vertically by a factor of 5

4 0
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PLEASE HELP I HAVE 6 MINUTES LEFT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
lord [1]

Answer:the answer is D

Step-by-step explanation:

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0.006
That's you're answer
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