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katrin2010 [14]
3 years ago
14

Please help, giving 15 points

Mathematics
1 answer:
GaryK [48]3 years ago
5 0
Answer: 15, because it is 16-1
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X^3 times x^? equals to x^17 <br><br> what’s the missing exponent?
ElenaW [278]

Answer:

  14

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

You have ...

  (x^3)(x^a) = x^17

  x^(3+a) = x^17

Equating exponents, we get ...

  3 +a = 17

  a = 14

The missing exponent is 14.

5 0
3 years ago
Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t
andrew-mc [135]

Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

  • A(-3,3)→A'(5,3);
  • B(1,-3)→B'(1,3);
  • C(-3,-3)→C'(5,-3).

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

  • A'(5,3)→A''(10,6);
  • B'(1,3)→B''(2,6);
  • C'(5,-3)→C''(10,-6)

See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

7 0
3 years ago
jane bought a blouse at sh:1150 after a discount of sh:250.what was the marked price of the blouse??​
andrezito [222]

Answer:

1400

Step-by-step explanation:

since it was a discount you add the new price to the discount and get the markerd price

5 0
3 years ago
An 8th grade class project involves decorating a rectangular box with the following dimensions.
Margarita [4]

Answer:1500

Step-by-step explanation: so i got the anwser 1539.2 and just rounded to the nearest hundredth which is 1500 hopefully it helps!

5 0
3 years ago
Through: (3, -2) and (0, -5)<br> What is the slope
sergij07 [2.7K]

Slope=change in y/change in x (y2-y1/x2-x1)

Slope=-2-(-5)/3-0=3/3=1

answer: slope=1

7 0
3 years ago
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