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3 years ago

7

Find the sum or difference: -(2-x)-3(6+8x)-12 Please solve

1 answer:

slava [35]3 years ago

4 0

Answer:

23x-32

Step-by-step explanation:

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How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6

Ivahew [28]

$9\cos(2t)=6\implies\cos(2t)=\dfrac23$

Using the fact that cos is 2π-periodic, we have

$\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi$

That is, $\cos(\theta+2n\pi)=\cos\theta$ for any $\theta$ and integer $n$ .

$\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi$

We get 2 solutions in the interval [0, 2π] for $n=0$ and $n=1$ ,

$t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi$

4 0

2 years ago

The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from

irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

$FG = 6x + 7$

$GH = 8x - 5$

$FH = 10x - 11$

$Perimeter = 87$

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

$Perimeter = FG + GH + FH$

Substitute values for FG, GH, FH and Perimeter

$87 = 6x + 7 + 8x - 5 + 10x - 11$

Collect Like Terms

$87 - 7 + 5 + 11= 6x + 8x + 10x$

$96= 24x$

Reorder

$24x = 96$

Divide through by 24

$x = 96/24$

$x = 4$

Substitute 4 for x in FG, GH and FH

$FG = 6x + 7$

$FG = 6 * 4 + 7$

$FG = 24 + 7$

$FG =31$

$GH = 8x - 5$

$GH = 8 * 4 - 5$

$GH = 32 - 5$

$GH = 27$

$FH = 10x - 11$

$FH = 10*4 - 11$

$FH = 40 - 11$

$FH = 29$

In order of arrangement in descending order, we have:

$FG =31$ $FH = 29$ $GH = 27$

4 0

2 years ago

If RV=w and SU=w–30, what is the value of w?

DIA [1.3K]

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV, then

SU = RV , so

w - 30 = w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

5 0

2 years ago

F(x) = 4x + 2; find f(8)

likoan [24]

Answer:

f(8)=34

Step-by-step explanation:

To solve, you just substitute x for 8

4(8) + 2

32 + 2

F(8) = 34

8 0

3 years ago

Pleasee helppp it’s due todayyy

slava [35]

Answer:

88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.

Step-by-step explanation:

8 0

3 years ago