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Blababa [14]
3 years ago
5

4. Write an equation for the table in slope intercept form​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

y=1.6x-5

Step-by-step explanation:

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If the line passing through the points (a, 1) and (−17, 8) is parallel to the line passing through the points (0, 5) and (a + 2,
stellarik [79]
Parallel line means the same slope
(8-1)/(-17-a)=(1-5)/(a+2)
so a is 18
4 0
3 years ago
What is the equation of the quadratic graph with a focus of (1 ,3) and a directrix of y=1?
zimovet [89]
Check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=1\\
k=2\\
p=1
\end{cases}\implies 4(1)(y-2)=(x-1)^2\implies 4(y-2)=(x-1)^2
\\\\\\
y-2=\cfrac{1}{4}(x-1)^2\implies y=\cfrac{1}{4}(x-1)^2+2

4 0
3 years ago
What is the sum of 1.57 and 6.88?
mario62 [17]

Answer:

8.45 is the answer

Step-by-step explanation:

Hope it helps you

6 0
2 years ago
Read 2 more answers
Akeem is carrying water in a bucket, but is unsure how many gallons it holds. He knows that the bucket and water weigh 32.49 pou
bixtya [17]

Answer:

Step-by-step explanation:

8.3g+2.61=32.49

8.3g=29.88

g=3.6

5 0
3 years ago
A town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole n
vova2212 [387]

Answer:

The population will be 14708

Step-by-step explanation:

formula

A = P (1+r)^t

Initial population = P = 13000

Growth rate = r = 2.5% = 0.025

Number of years = t  = 5 years.

A = 13000 (1+.025)^5  = 14708

brainly.com/question/12498268

5 0
2 years ago
Read 2 more answers
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