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xenn [34]
3 years ago
11

What is the answer to (-9,1)+8x-5y=82

Mathematics
1 answer:
Stella [2.4K]3 years ago
6 0

Answer:

80x-50y=911

Step-by-step explanation:

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
3 years ago
How many significant digits should the product of 11,435 m and 19.35 m have
DochEvi [55]

Answer:

2 significants choes the least significant digets which is 19.35

result is 221,267.25

6 0
3 years ago
Lola rode her bike for 7/10 of an hour on Saturday and 3/5 of an hour on Sunday. How much longer did she ride her bike on Saturd
s344n2d4d5 [400]
1 hr = 10/10
1/10 of an hr= 6 min
(7)(6)=42
Saturday she rode her bike for  42 min
Sunday
1 hr = 5/5
1/5 of an hr = 12 min
(3)(12)= 36
On sunday she rode her bike for 36 min
Finally
42-36= 6
She rode her bike 6 min longer on saturday than sunday
4 0
3 years ago
Read 2 more answers
In the expression 5x + 15 = 150, you can start solving the problem
Gnoma [55]

Answer:

i think 2x

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please help worth 30 pts<br>​
cestrela7 [59]

Answer:

So I believe your just graphing here like a line or bar graph. Look at images in Google for references if needed.

5 0
3 years ago
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