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ladessa [460]
3 years ago
14

To get rid of a negative exponent, move the part with the negative exponent to the other side of the_________(blank)

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0

Answer:

fraction

Step-by-step explanation:

If you have a negative exponent, such as x^{-2}, that can also be written as \frac{x^{-2} }{1}

by moving the exponent (and it's base) to the denominator (the other side of the fraction, since it's in the numerator), you make the exponent positive: \frac{1}{x^{2} }

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!!!! PLEASE HELP !!!!
baherus [9]
Your answer is B, (1,5)

Based on your equation, 5x means in one movement of the x axis it increases 5 spaces on the Y axis. Since there is nothing after the 5x indicating it is starting elsewhere this means it starts at 0.0. So after the first movement on the x axis your value will be 1 plug in your x axis value to the equation f(x)=5x so it will look like f(1)=5•1 and then you will have both values needed to form your answer (1,5)
4 0
3 years ago
Triangle A'B'C'is the result of reflecting triangle ABC across the line l
Hoochie [10]

9514 1404 393

Answer:

  b, c

Step-by-step explanation:

Reflection across a line is a "rigid" transformation, so linear measures and angle measures remain unchanged. (b and c are true statements)

Reflection across a line skew to the y-axis will mean that any segment originally perpendicular to the y-axis will not be after the reflection. ('a' is not a true statement)

6 0
3 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
5) Linda picked a basket of apples. She gave half of the apples to a neighbor, then 10 apples to her mother, then half of the re
mihalych1998 [28]

Answer:

is it 8 apples to her mother or 10 since I had this exact problem?

Step-by-step explanation:

3 0
3 years ago
2. Determine the sum of the first 400 ODD numbers.<br><br>​
il63 [147K]

Odd numbers take the form 2n-1, where n\ge1 is an integer. When n=400, the last odd number would be 799. So we're adding

S=1+3+5+\cdots+795+797+799

By reversing the order of terms, we have

S=799+797+795+\cdots+5+3+1

and we can pair up terms in both sums at the same position to write

2S=(1+799)+(3+797)+(5+795)+\cdots(795+5)+(797+3)+(799+1)

so that we are basically adding 400 copies of 800, and from there we can find the value of the sum right away:

2S=400\cdot800\implies S=160,000

###

We could also make use of the formulas,

\displaystyle\sum_{i=1}^n1=n

\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2

We have

S=\displaystyle\sum_{i=1}^{400}(2i-1)=2\sum_{i=1}^{400}i-\sum_{i=1}^{400}1=400(400+1)-400=400^2=160,000

3 0
3 years ago
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