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3 years ago

Rewrite the expression with a rational exponent as a radical expression

Mathematics

1 answer:

saw5 [17]3 years ago

7 0

Answer:

$\sqrt{5}$

Step-by-step explanation:

Evaluate the power first:

$\frac{3}{4} \times \frac{2}{3}$

$\implies \frac{1}{2}$

Therefore $(5)^{( \frac{1}{2}) } = \sqrt{5}$ .

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How do you know whether to add or subtract when using the distributive property to multiply?

bixtya [17]

Distributive property is characterized by the use of parenthesis, wherein you distribute the outside number to each term inside the parenthesis by multiplication. You'll just have to copy the operation inside the parenthesis as it is, whether addition or subtraction. For example,

3(10+4-3) = 3(10) + 3(4) - 3(3) = 33

6 0

3 years ago

What is the area of the piece of red paper after the hole for

MakcuM [25]

Answer:

$\large\boxed{\large\boxed{47unit^2}}$

Explanation:

The complete question is:

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.

On a coordinate plane, 2 squares are shown. The photograph has points (-3, -2), (- 2, 2), (2, 1), and (1, -3). The red paper has points (- 4, 4), (4, 4), (4, -4), and (-4, -4).

What is the area of the piece of red paper after the hole for the photograph has been cut?

<h2>Solution</h2>

The area of the piece of redpaper after the hole has been cut is equal to the area of the big square less the area of the small rectangle.

1. Area of the big rectangle

Vertices:

(- 4, 4)
(4, 4)
(4, -4)
(-4, -4)

The side length is the distance between two consecutive vertices:

The two points (-4,4) and (4,4) has the same y-coordinate, thus the length is just the absolute value of the difference of the x-coordinates:

$4-(-4)=4+4=8$

The area of this square is $(8unit)^2=64unit^2$

2. Area of the small square

Vertices:

(-3, -2)
(- 2, 2)
(2, 1)
(1, -3)

To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\ \\d=\sqrt{(2-(-2))^2+(2-1)^2}=\sqrt{4^2+1^2}=\sqrt{17}$

The area is:

$(\sqrt{17}unit)^2}=17unit^2$

3. Area of the piece of red paper after the holw for the photograph has been cut:

Find the difference:

$64unit^2-17unit^2=47unit^2$

7 0

3 years ago

Read 2 more answers

The line segment joining the points ( 3,-4) and (1,2) is trisected at the points P and Q . If the coordinates of P and Q are (p

sdas [7]

Answer:

P = 7/3 and q = 0

Step-by-step explanation:

The given parameters are;

The endpoints of the segment are, (3, -4) and (1, 2)

The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively

Therefore, we have;

The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point

The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)

Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)

∴ P = 7/3

Similarly we have the second point of the trisection, Q, given as follows;

We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)

Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)

Point Q = (5/3, q) = (5/3 , 0)

∴ q = 0.

3 0

3 years ago

Help ASAP!!!!! Need help as soon as possible

k0ka [10]

Answer:

step 1. if the prize were chosen first the probability would be (1/2)(1/4) = 1/8.

step 2. the probability would be the same as part A.

5 0

2 years ago

Help pleaseeeeeee quickly

shusha [124]

The first sentence in the chart belongs to the subjunctive mood, while the other sentences can be classified as part of the conditional mood.

In language, the verb mood indicates the attitude of the speaker, and therefore, it provides clues about the way language is used. For example, the imperative mode indicates an order is being given.

<h3>What is the difference between the conditional and the subjunctive mood?</h3>

Subjunctive: It is used for expressing wishes; due to this, it is common to find the use of words such as "wish".
Conditional: It expresses a condition or a situation that will/can happen if another situation occurs. This can be identified due to the use of "if".

Based on this, the first sentences belongs to the subjunctive mood, while the other sentences are part of the conditional.

Learn more about the subjunctive in: brainly.com/question/22728240

#SPJ1

6 0

2 years ago