Let's solve the first inequality at first. So,
−2(x + 4) + 10 < x − 7
-2x- 8 + 10 < x - 7 By distribution property.
-2x + 2 < x - 7 Adding the like terms.
-2x < x - 7 - 2 Subtract 2 from each sides.
-2x < x - 9 By simplifying.
-2x - x < -9 Subtract x from each sides.
-3x < -9
Since we are dividing by negative 3. So, sign of inequality will get change.
So, x>3
Now the next inequality is,
−2x + 9 > 3(x + 8)
-2x + 9 > 3x + 24
-2x > 3x + 24 - 9
-2x > 3x + 15
-2x - 3x > 15
-5x >15
So, x <-3
Hence, the correct choice is x > 3 or x < −3.
128 square inches.
The area of a triangle is 1/2bh, where b is the base and h is the height. Substitute the values in.
1/2 * 8 * 32
Now, just solve.
4 * 32
128 square inches
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Answer:
its a function
slope form:y+5=-1.18·(x-3)
(-2.5,1.5)
Step-by-step explanation:
Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise you need to use the formula for calculate the distance between two points. This is:
Given the following points:
and 
You can identify that:
Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.
Therefore, the distance between and is:
We need convert the mixed numbers to improper fractions.
Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:
