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Radda [10]
3 years ago
14

Simplify the following surd expressions-

Mathematics
1 answer:
galben [10]3 years ago
8 0

Answer:

\sqrt{2} and 4\sqrt{11}

Step-by-step explanation:

To simplify like surds, add/ subtract the coefficients.

(a)

\sqrt{2} (6 - 5)

= \sqrt{2} (1)

= \sqrt{2}

(b)

\sqrt{11} ( 1 + 3)

= \sqrt{11} (4)

= 4\sqrt{11}

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2 Kenedi has a piece of ribbon that measures
USPshnik [31]

Answer:

The length of each ribbon is 1.6 inches

Step-by-step explanation:

From the question, we are told that:

Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume

Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:

24 inches ÷ 15 pieces

= 24 ÷ 15

= 1.6 inches

Therefore, the length of each ribbon is 1.6 inches

4 0
3 years ago
Two telephone calls come into a switchboard at random times in a fixed one-hour period. Assume that the calls are made independe
svp [43]

Answer:

0.25

Step-by-step explanation:

From the given information:

Since the times are uniform distributed over the one hour period (0,1):

Then;

f_1(y_1) = 1

f_2(y_2) = 1

So, Y_1 and Y_2 are independent; then:

f(y_1|y_2) = f_1(y_1)f_2(y_2)  \\ \\ = 1(1) = 1

P(Y_1\le 0.5 Y_2 \le 0.5) = \int ^{0.5}_{0} \int ^{0.5}_{0} f(y_1,y_2) dy_{2}dy_{1}

\implies  \int ^{0.5}_{0} \int ^{0.5}_{0} (1)  dy_{2}dy_{1}

= \dfrac{1}{4}

= 0.25

3 0
3 years ago
If x -√2=√8, then what is the value of x?
Amiraneli [1.4K]

Answer:

x = 3 sqrt(2)

Step-by-step explanation:

x -√2=√8

Add sqrt(2) to each side

x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)

x = sqrt(8)+ sqrt(2)

Rewriting sqrt(8)  as sqrt(4) sqrt(2) = 2 sqrt(2)

x = 2 sqrt(2)+ sqrt(2)

x = 3 sqrt(2)

3 0
3 years ago
Read 2 more answers
Which are the coordinates of the transformed point (3,-2) vertical stretch of 4 a. (3,2) b.(12,-2) c.(7,-6) d. (3,-8)
denis23 [38]

The given point is (3,-2).

The transformation is a vertical stretch of 4.

Vertical stretch can be obtained when we multiply the vertical coordinate by a factor, in this case, 4.

(3,-2\cdot4)=(3,-8)<h2>Therefore, the right answer is D.</h2>
3 0
1 year ago
Frametastic produces picture frames
8090 [49]

Answer:

21

Step-by-step explanation:

7/5=21/15

5*3=15

7*3=21

6 0
3 years ago
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