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Gwar [14]
3 years ago
13

The vertex of this parabola is at (5, 5). when the x-value is 6, they-value is -1. what is the coefficient of the squared expres

sion in the parabola's equation?
Mathematics
2 answers:
svetlana [45]3 years ago
5 0

 

hello :<span>
<span>the parabola's equation is : f(x) = a(x-5)²-5
the coefficient of the squared expression in the parabola's equation is : a
but ; f(6) = - 1
- 1 = a(6-5)²+5
a+5=-1.....a=-6
f(x) = -6(x-5)²+5</span></span>

<span><span>so : a = - 6</span></span>

Makovka662 [10]3 years ago
3 0

Answer:

-6

Step-by-step explanation:


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Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
enot [183]

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

8 0
3 years ago
What is the distributive prperty to exspress 24+36
Liula [17]

I think it would be 12(2-3)

Hope this helps!


8 0
3 years ago
Convert repeating decimal to fractions
timurjin [86]

Answer: 8/9

Step-by-step explanation: 0.888... can be simplified to 8/9.

6 0
3 years ago
suppose 5 men and 7 women are on a crowded elevator. at the next floor, four people get off the elevator. find the probability t
lubasha [3.4K]
The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.

Now, we can simplify this:
C(7, 4) = \frac{7!}{4!(7 - 4)!}
= \frac{5040}{4!3!}
= \frac{5040}{24 \cdot 6}
= \frac{5040}{144} = 35

Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.

\text{P(4 women): } \frac{35}{495} = \frac{7}{99}
3 0
3 years ago
Slope between( 8,-1) (-7,4)
MrRa [10]
M= y2-y1?x2-x1
m=4-(-1)/(-7)-8
m=5/-15
m=-3
The slope is -3
4 0
3 years ago
Read 2 more answers
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