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n200080 [17]
2 years ago
15

Explain the transformation of the graph from f(x)=x^2 to g(x)=x^2-6

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0

Answer: the graph is shifted 6 units down

Step-by-step explanation:

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The roots of a quadratic equation ax2+bx+c=0 are 1+i 5 and 1−i 5 . Find possible values of a, b and c.
Anarel [89]

Answer:

Step-by-step explanation:

If the roots are 1 + 5i and 1 - 5i, then you need the factors that result from those roots.  They are (x - 1 + 5i) and (x - 1 - 5i).  Now what you do with those is FOIL them out.  Doing that gives you the following:

x^2-x+5ix-x+1-5i-5ix+5i-25i^2 (what a mess, huh?)

The good thing is that several of those terms cancel each other out.  +5ix cancels out the -5ix; -5i cancels out the 5i; and the 2 -x terms combine to -2x.  That leaves you with:

x^2-2x-25i^2

Obviously you're in the section in math that deals with complex (imaginary) numbers so you should know that i-squared is equal to -1.  Making that replacement:

x^2-2x+25

a = 1, b = -2, c = 25

6 0
3 years ago
Read 2 more answers
Find the value of k so that the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.
guajiro [1.7K]

the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

We find the slope of parallel line using two given points

(5, -8) and (2, 4)

Slope formula is

slope = \frac{y_2-y_1}{x_2-x_1}

slope = \frac{4-(-8)}{2-5}

slope = \frac{12)}{-3}=-4

so slope = -4

Slope of any two parallel lines are always equal

Lets find the slope of the equation 13y + kx = 4

Subtract kx on both sides

13 y = -kx + 4

Divide both sides by 13

y= \frac{-kx}{13} + \frac{4}{13}

Now slope = -k/13

We know slope of parallel lines are same

So the slope of 13y + kx = 4  is also -4

Hence we equation the slope and find out k

\frac{-k}{13}=-4

Multiply by 13 on both sides and divide by -1

k = 52

the value of k = 52

4 0
3 years ago
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Will is throwing a ball across a 42 yard field. He threw it 3/7 of the way across the field. How far did Will throw the ball?
Tanzania [10]

Answer:

18

Step-by-step explanation:

42/7= 6x3=18

7 0
3 years ago
Read 2 more answers
I need help with this please and an explanation so i can understand ASAP!!!!
faltersainse [42]

Answer:

17 feet

Step-by-step explanation:

8 squared is 64

15 squared is 225

225 + 64 = 289

289 square root is 17

5 0
3 years ago
Andre purchased 1 quart of lemonade
ololo11 [35]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
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