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3 years ago

I need help with an equation for this problem

Mathematics

2 answers:

cupoosta [38]3 years ago

8 0

Answer:

x ≤ 9

Step-by-step explanation:

Margaret [11]3 years ago

7 0

1) You want to isolate the variable.
2) Do the inverse operation of -6 which is adding 6. (then cross it out so you don’t get confused if you want)
3) Whatever you do, do the same on the other side of the inequality, so add 6 to 3.
4) x is less then or equal to 3.

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3 years ago

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Solve the equation. 5x + 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9

vitfil [10]

Answer:

$x=-9$

Step-by-step explanation:

$5x+8-3x=-10$

Simplify to get $2x+8=-10$

Find what $2x$ equals to by taking away 8, $2x = -18$ .

Divide by 2 to find x, $x = -9$

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3 years ago

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Anyone know how to do trig? Given tan Ф = 4/5, find all other trig functions.

mars1129 [50]

9514 1404 393

Answer:

sin(Ф) = (4/41)√41; csc(Ф) = (√41)/4
cos(Ф) = (5/41)√41; sec(Ф) = (√41)/5
tan(Ф) = 4/5; cot(Ф) = 5/4

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you with three of the functions. Then you need to remember the relations between those and the other three.

Tan = Opposite/Adjacent

tan(Ф) = 4/5

This suggests you can draw a triangle like the one attached that has adjacent side 5 and opposite side 4. Then hypotenuse can be found from the Pythagorean theorem:

AC² = AB² +BC² = 5² +4² = 41

AC = √41 . . . . . hypotenuse

Then the other trig functions are ...

Sin = Opposite/Hypotenuse

sin(Ф) = 4/√41 = (4/41)√41

Cos = Adjacent/Hypotenuse

cos(Ф) = 5/√41 = (5/41)√41

And the reciprocal functions are ...

csc(Ф) = 1/sin(Ф) = (√41)/4

sec(Ф) = 1/cos(Ф) = (√41)/5

cot(Ф) = 1/tan(Ф) = 5/4

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