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3 years ago

Translate each algebraic expression into words. a) x ÷ 12 b) 8m

Mathematics

1 answer:

CaHeK987 [17]3 years ago

3 0

A.) a number divided by 12
b.) 8 times a number

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Type the correct answer for each.

xxTIMURxx [149]

If point $\left(x,\ \frac{\sqrt{7}}{3}\right)$ is on the unit ircle, then:

$x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\ \\ \Rightarrow x^2+ \frac{7}{9} =1 \\ \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9} \\ \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}$

Since, the point is in the second quadrant, x is negative.

Thus, $(x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)$

Part A:

$3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\ \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\ \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\ \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta$

Therefore, $-6\tan\theta=3\sqrt{7}$ .

Part B:

$- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x} \\ \\ =\tan\theta$

Therefore, $\tan\theta=- \frac{ \sqrt{7} }{2}$

8 0

3 years ago

Yeah ill give brain if correct

tankabanditka [31]

Answer:

72.5/8.9 = 8.15

33.2/1.2=27.67

74.3/7.9 = 9.41

35.5/3.2 = 11.09

28.1/3.7 = 7.59

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 k

Paraphin [41]

Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.

Therefore time for forward journey = x / 60
Return journey    = x / 50

The total trip should not exceed 8 hours.
Therefore: x / 60 + x / 50 <= 8.    LCM = 300

Taking LCM and multiplying on both sides:
5x + 6x <= 8(300)
   11x <= 2400
   x <= 2400/11
   x   <= 218.18
The picnic spot must be less than or equal to 218.18 km.

5 0

3 years ago

Order from least to greatest ! 1.36,1.3,1.63 and this other 0.42,3.74,3.47.

frosja888 [35]

If you are putting them all in order from least to greatest it would be 0.42, 1.3, 1.36, 1.63, 3.47,3.74. But, if you are separating them the first set of three numbers you wrote would be ordered 1.3, 1.36, 1.63. Then, the second set would be ordered 0.42, 3.47, 3.74. Hope this helped!!!

4 0

3 years ago

Read 2 more answers

X^2+ 6x - 4 = 3x + 6

jolli1 [7]

Answer:

x=2

x=-5

Step-by-step explanation:

You need to get everything on one side to have a quadratic equation:

x^2+6x-4 -(3x+6) = x^2+3x-10

All factors of 10 are 1*10 and 2*5.

5-2 = 3 and 5*-2 = -10

Factoring x^2+3x-10 gives us (x-2)(x+5)

x=2

x=-5

4 0

3 years ago

Read 2 more answers