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kvv77 [185]
3 years ago
8

4 What temperature is 23 degrees above freezing?

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0
Answer:
The temperature would be 55 degrees fahrenheit
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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
2 years ago
How much 78 octane gas and 91 octane gas should be blended to make 13 gallons of 85 octane gas
Tatiana [17]
13 x 85 = 1105
78 + 91 = 169

169 / 1105 = 6.5
5 0
3 years ago
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F(x)= x^2<br><br> g(x)= (x-9)^2+3
Leviafan [203]

Answer:

Bro look it up

Step-by-step explanation:

On google

3 0
3 years ago
What is the slope of the line that passes through the points (2, 3) and (–2, 6)? A. -3/2 B. -3/4 C.3/4 D. 0
Alisiya [41]
Simple...

you have: (2,3) and (-2,6)

Using \frac{ y_{1}-  y_{2} }{ x_{1} - x_{2} }-->>

\frac{3-6}{2--2} = -\frac{3}{4}

Thus, your answer.
8 0
3 years ago
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Which graphic organizer would help you visualize important events in the history of the U.S. space program? timeline point-by-po
Sergeu [11.5K]
Timeline would help your the most<span />
6 0
3 years ago
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