Solve the inequality.

Mathematics

2 answers:

user100 [1]2 years ago

8 0

Answer:

k < 28

Step-by-step explanation:

Given inequality :-

k + 4 - 2( k - 12 ) > 0
k + 4 - 2k + 24 > 0
-k + 28 > 0
28 > k
k < 28

Last Option is correct .

Nataly [62]2 years ago

4 0

k<28

Step 1: Simplify both sides of the inequality.

−k+28>0

Step 2: Subtract 28 from both sides.

−k+28−28>0−28

−k>−28

Step 3: Divide both sides by -1.

−k /−1 > −28 /−1

k<28

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tester [92]

Answer: B

Step-by-step explanation:

The equation $y+2=\frac{3}{4} x-8$ is not yet in slope-intercept form( $y=mx+b$ ). Simply subtract 2 from both sides to turn the equation into slope intercept form as $y=\frac{3}{4}x-10$ . For a line to be perpendicular to another, it must have an opposite reciprocal slope. A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa. Thus, 3/4 would become 4/3. The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4. Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: $y=-\frac{4}{3} x+b$ . Then, because the line passes through -12, 1, plug those values in for x and y, respectively.