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Leviafan [203]
3 years ago
5

What is the distance between 32 and -67 on a number line? A) -35 b) 35 c) 45 d) 99

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

99

Remember that distance is positive and so the distance between 32 and - 67 is

32 - (- 67) = 32 + 67 = 99



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What is the equation in vertex form of the quadratic function with a vertex at (-1, -4) that goes through (1, 8)?
cestrela7 [59]

Answer:

y = 3(x+1)^2 - 4

Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:

y - k = a(x-h)^2, or

y      = a(x-h)^2 - k

Substituting the coefficients of the vertex (-1, -4), we get:

y      = a(x + 1)^2 - 4

Substituting the coordinates of the given point, (1,8), we get:

8      = a(1+1)^2 - 4, which simplifies to:

8      = a(2)^2 - 4, or

8  = 4a - 4.  Then 4a = 12, and a = 3.

Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).


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What fraction is equivalent to - 3/2
Varvara68 [4.7K]

Answer: -1 1/2

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2 years ago
How to do quadratics
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6 0
3 years ago
Y=-1\4z+5 please grqph
svet-max [94.6K]

Answer

Attached the graph

Step by step explanation

Y = -1/4z + 5

Let's form the table values

Here z is the independent variable and y is the dependent values.

Let's take z = -1, 0, 1, 2 and find the corresponding y-values

<u>z                           y</u>

-1                         5.25

0                          5

1                           4.75

2                           4.5

Now let's plot the points and draw the graph.

Here is the graph.

5 0
3 years ago
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