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xenn [34]
3 years ago
14

[NO LINKS] Is

qrt{100}" alt="\sqrt{21} + \sqrt{100}" align="absmiddle" class="latex-formula"> RATIONAL or IRRATIONAL?
Mathematics
1 answer:
Leona [35]3 years ago
6 0

√21+√100

= √21+10

Though 10 is a rational number but, √21 is irrational, we know the sum of a rational and irrational number is an irrational number.

So, √21+√100 is irrational.

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Find the value of x so that (x,-4) is on the line given by -2x + 3y = 6.
lord [1]

Answer:

Step-by-step explanation:

-2x + 3y = 6.....(x, -4)...so y = -4

-2x + 3(-4) = 6

-2x - 12 = 6

-2x = 6 + 12

-2x = 18

x = -18/2

x = -9

so the value of x is -9.....(-9,-4)

6 0
3 years ago
PLEASEE HELPPPP IVE BEEN WAITING FOR HOURS!!!!!
kozerog [31]

Answer:

The perimeter is 32\sqrt{7} cm.

Step-by-step explanation:

Perimeter is found by adding all sides of the triangle together. So, this is what we need to find: 8\sqrt{7}+4\sqrt{63}+6\sqrt{28}

  • Only <u>like radicals</u> can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.

Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7:        7/7 = 1,          63/7 = 9,         28/7 = 4.

Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.

8\sqrt{7} remains the same;    4\sqrt{63}=4\sqrt{9(7)} =4(3)\sqrt{7}=12\sqrt{7}; and

6\sqrt{28}=6\sqrt{4(7)}=6(2)\sqrt{7}=12\sqrt{7}. Now they are like radicals and can be added!

8\sqrt{7}+12\sqrt{7}+12\sqrt{7}=32\sqrt{7}

3 0
2 years ago
The ages of three friends are consecutive integers. The sum of their ages is 45
Alborosie

45 = (x) + (x + 1) + (x + 2)

45 = 3x + 3

- 3

42 = 3x

/3

14 = x

45 = 14 + (14 + 1) + (14 + 2)

45 = 14 + 15 + 16

The ages of the 3 friends are 14, 15, and 16.

6 0
4 years ago
Read 2 more answers
1.The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].
ElenaW [278]

Problem 1

<h3>Answer: D) 2pi</h3>

-------------------

Explanation:

The given table we have is

\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}\text{Angle} & 0 & \pi/6 & \pi/2 & 5\pi/6 & 3\pi/2 & 2\pi\\ \cline{1-7}f(x) & 1 & 0 & -1 & 0 & 3 & 1\\ \cline{1-7}\end{array}

If you were to graph all those points and draw a cosine curve through them, then the function you should get is

y = 2\cos\left(x+\frac{\pi}{2}\right)+1

The B coefficient is 1, so that leads to a period of

T = 2pi/B

T = 2pi/1

T = 2pi

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

Problem 2

<h3>Answer: C) 343.134 yards</h3>

-------------------

Explanation:

Draw out a triangle with these properties

  • side a = 270
  • side b = 170
  • angle C = 100

We'll use the law of cosines to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 270^2 + 170^2 - 2*270*170*cos(100)

c^2 = 117740.902710

c = sqrt(117740.902710)

c = 343.133943

c = 343.134

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

Problem 3

<h3>Answer: A) 2</h3>

-------------------

Explanation:

If you started with y = sin(x) and applied the transformations stated, then you should end up with y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\

From here, plug in x = 0 to find the y intercept.

y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\y = 2\sin\left(2(0+\frac{\pi}{4})\right)\\\\y = 2\sin\left(\frac{\pi}{2}\right)\\\\y = 2*1\\\\y = 2\\\\

7 0
3 years ago
Please answer this correctly
Elan Coil [88]

Answer:

12.5%

Step-by-step explanation:

There is only one number 5 from a total of 8 parts.

1 out of 8.

1/8 = 0.125

P(5) = 12.5%

7 0
3 years ago
Read 2 more answers
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