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Elenna [48]
3 years ago
5

Select the value of x that makes the equation

Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0

Answer:

-60

Step-by-step explanation:

-3(x + 10) + 2x = 30 becomes -3x - 30 + 2x = 30 after having performed the multiplication.  Combining like terms, we get -x = 60, so that x must be -60 (Answer 4)

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Use the given information to find the exact value of the expression. sin α = 2129 21 29 , α lies in quadrant II, and cos β = 151
beks73 [17]
The correct question is
Use the given information to find the exact value of the expression. sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

we know that
sin(α − β<span>) = </span>sin α cos β − cos α sin β

α lies in quadrant II
so
cos α  is negative
sin α  is positive

β lies in quadrant I
so
cos β  is positive
sin β   is positive

step 1
find sin β
cos β=15/17
sin² β+cos² β=1-----------> sin² β=1-cos² β----> sin² β=1-(15/17)²
sin² β=1-225/289-----> 64/289
sin β=8/17

step 2
find cos α
sin α = 21/29
cos² α + sin² α=1----> cos² α=1-sin² α---> cos² α=1-(21/29)²---> 1-441/841
cos² α=400/841------> cos α=-20/29  (remember cos α is negative)

step 3
find sin(α − β) 
sin α = 21/29   cos α=-20/29
sin β=8/17       cos β=15/17

sin(α − β) = [21/29]*[15/17] − [-20/29*]*[8/17]
sin(α − β) = [315/493] − [-160/493]
sin(α − β) = 475/493

the answer is
sin(α − β) = 475/493


3 0
4 years ago
(2,1) (0,-7) write in slope intercept form please hurry!
KATRIN_1 [288]
Find slope: (y2-y1)/(x2-x1)
(-7-1)/(0-2) = -8/-2 = 4
Slope int form: y = mx + b
Y = 4x + b
Plug in a point
1 = 4(2) + b, b = -7
Equation: y = 4x - 7
4 0
3 years ago
On Tuesday the temperature is 1 ºC. By Wednesday it has dropped to –2 ºC. The temperature drops by twice as much from Wednesday
Finger [1]

Answer: -8^{\circ}C

Step-by-step explanation:

Given

The temperature on Tuesday is 1^{\circ}C

Temperature drops to -2^{\circ}C on Wednesday

Net drop in temperature 1-(-2)=3^{\circ}C

The temperature drops twice from Wednesday to Thursday

\Delta T=2\times 3=6^{\circ}C

Temperature on Thursday

\Rightarrow -2-6=-8^{\circ}C

3 0
3 years ago
FIRST ANSWER GETS BRAINLIEST ANSWER FAST
CaHeK987 [17]

Answer:

A

Step-by-step explanation:

Because it would be how many adults times 36. And how many ever children times 15. And that total would be equal to $234

7 0
3 years ago
6x-7y= -2 please help me
Nana76 [90]

Answer:

X=7/6y+-1/3

Step-by-step explanation:

It will be hard for me to demonstrate the equation

6 0
4 years ago
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