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Snowcat [4.5K]
3 years ago
13

‘Basic exponent rules’ simplifying to a single power .

Mathematics
1 answer:
Komok [63]3 years ago
6 0

Answer:

64

Step-by-step explanation:

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Which of the following sets could be the sides of a right triangle?
coldgirl [10]

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

7 0
3 years ago
The last time he checked, Matthew was 40 inches tall. Matthew just measured himself again and found out that he is 10% taller no
weqwewe [10]
44 inches.

All you have to do is find out what 10% of 40 is then add it back to 40. In the case of finding 10% of something you just “chop” of the back number (or move the decimal place forward) so 10% of 40 is 4. The. 40+4=44.

You can also multiply fractions to find the percent of a number but that is not necessary in this case.
8 0
3 years ago
Which statement accurately describes how to reflect point A(3,-1) over the y-axis?
Lyrx [107]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The rule of the reflection of a point over the y-axis is equal to

A(x,y) ----->A'(-x,y)

That means -----> The x-coordinate of the image is equal to the x-coordinate of the pre-image multiplied by -1 and the y-coordinate of both points (pre-image and image) is the same

so

A(3,-1) ------> A'(-3,-1)

The distance from A to the y-axis is equal to the distance from A' to the y-axis (is equidistant)

therefore

To reflect a point over the y-axis

Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis

6 0
3 years ago
What times what equals 59
sweet-ann [11.9K]

59 is a "prime number".  It has no factors except ' 1 ' and itself.

So the only possibility is  1 x 59 .

5 0
3 years ago
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
Igoryamba

Answer:

0.43

17

Step-by-step explanation:

8 0
3 years ago
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