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4 years ago

A students work to simplify a radical is shown below. Select the statemmebt which best applies to rhe sample mathematical work

Mathematics

1 answer:

Alik [6]4 years ago

8 0

Answer:

D. The work shown above is correct, and $y^5\sqrt[4]{y^3}$ may not be simplified further.

Step-by-step explanation:

If you add all the exponents of y in first line then we get

4+4+4+4+4+3=23

Which is same as the exponent in original problem.

So first line is good.

Since it is 4th root so each $y^4$ will turn into y when it moves out of the radical so final answer is correct.

Hence correct choice is "D. The work shown above is correct, and $y^5\sqrt[4]{y^3}$ may not be simplified further." is the correct answer.

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Evaluate x/y + 3z^2 for x= 2/3, y= 6/7, and z=3

prohojiy [21]

x/y + 3z^2 for x= 2/3, y= 6/7, and z=3

=2/3 / 6/7 + 3(3^2)

=2/3 * 7/6 + 3(9)

= 7/9 + 27

= 7/9 + 243/9

= 250/9

answer is a. 250/9

6 0

3 years ago

Read 2 more answers

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

y + 5 = 3/4 x

so, the last option is correct.

3 0

3 years ago

I need help with these questions (see image). Please show workings.

shtirl [24]

Answer:

Inscribed angle is half of the intercepted arc.
Central angle is the same size as the intercepted arc.

As per above two statements we have:

y = 2*58° = 116°

and

z = 90°/2 = 45°

5 0

3 years ago

Read 2 more answers

Camila sets up a passcode on her tablet, which allows only nine-digit codes. A spy sneaks a look at Camila's tablet and sees her

laila [671]

Answer:

$\frac{1}{10^9}$ probability the spy is able to unlock the tablet on his first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

1 correct password, so $D = 1$

Total outcomes:

Nine-digit codes.

For each digit, there are 10 possible outcomes. So

$T = 10^9$

What is the probability the spy is able to unlock the tablet on his first try?

$p = \frac{D}{T} = \frac{1}{10^9}$

$\frac{1}{10^9}$ probability the spy is able to unlock the tablet on his first try.

7 0

3 years ago

QUESTION WORTH 20 POINTS!!! HELP ASAP PLEASE why am i alive

guajiro [1.7K]

Answer:

Cause you were born, as simple as that. Plenty of people deal with harsh life.

Step-by-step explanation:

That's not a math question BUT

4 0

2 years ago

Read 2 more answers