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Law Incorporation [45]
3 years ago
5

What is the solution of the inequality [3x+6]-2<10?

Mathematics
1 answer:
Ber [7]3 years ago
8 0

Answer:

x > -3_2/3

Step-by-step explanation:

(3x+6)-2 < 10

Distribute  

-6x-12 < 10

    +12   +12

    -6x < 22

-6x/-6 < 22/-6

When you divide by a negative number you flip the inequality

x > 22/-6

Simplify

x > -3_2/3

You might be interested in
Simplify 4 + (-3) - 2 x (-6 )
sukhopar [10]
If you would like to simplify <span>4 + (-3) - 2 * (-6), you can do this using the following steps:

</span><span>4 + (-3) - 2 * (-6) = 4 - 3 + 2 * 6 = 1 + 12 = 13
</span>
The correct result would be 13.
7 0
3 years ago
Can anyone explain how you get the answer?
AnnyKZ [126]

Answer:

G) -12

Step-by-step explanation:

x is increasing by 2

y is decreasing by 24

-24 / 2 = -12

4 0
3 years ago
Read 2 more answers
Is the sqrt of 1 - sin^2 theta = cos theta true? If so, in which quadrants does angle theta terminate?
Genrish500 [490]

Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

{ \sin }^{2}  theta \: +  {cos}^{2}theta  = 1

{cos}^{2} \: theta  = 1 -  {sin}^{2}  \: theta

cos \: theta =  \sqrt{1 -  { \sin }^{2}theta }

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

7 0
3 years ago
Why does it make sense that 4 x (-3) and -3 x 4 have the same product?
Contact [7]

Answer:

hello!!!

We will learn it simple method,we know that multiplication of whole numbers is repeated addition. For example

3*4= 4+4+4

in this same way we can say that

[-12]=(-3)+(-3)+(-3)+(-3)

also,

4(*-3)=(-12)

for the second equation we can take it same as the above one

So it make no diffrence when we multiplied integers as (positive)*(negative) OR (NEGATIVE)*(POSITIVE)

And so now we can say

FOR ANY TWO POSITIVE INTEGER a and b WE CAN SAY

 (-a) *(b) = (-b)*(a) = -(a*b)

HOPE FULLY U MAY LIKED MY ANSWER GIVE POSITIVE FEEDBACK AND IF WANTS ANYTHING OTHER YOU MAY ASK ME IN COMMENT

7 0
1 year ago
Find cos B, sinB,tanb
emmasim [6.3K]

Using right triangle relations, we will get:

  • tan(B) = 1.05
  • sin(B) = 0.735
  • cos(B) =  0.7

<h3>How to find the value of the trigonometric equations?</h3>

We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.

Now remember the relations:

  • tan(θ) = (opposite cathetus)/(adjacent cathetus).
  • sin(θ) = (opposite cathetus)/(hypotenuse)
  • cos(θ) = (adjacent cathetus)/(hypotenuse).

If we step on angle B, we have:

  • opposite cathetus = 29.4
  • adjacent cathetus = 28
  • hypotenuse = 40.6

Replacing that, we get:

  • tan(B) = 29.4/28 = 1.05
  • sin(B) = 29.4/40.6 = 0.735
  • cos(B) = 28/40.6 = 0.7

If you want to learn more about trigonometric functions:

brainly.com/question/8120556

#SPJ1

6 0
2 years ago
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