Answer:
Step-by-step explanation:
We have the inequality:
First, we can factor out a 5 from our absolute value. This yields:
Simplify:
Add 14 to both sides:
Divide both sides by 2:
Definition of Absolute Value:
Solve each case individually:
Case 1:
Subtract 2 from both sides:
Case 2:
Divide both sides by -1. Flip the sign:
Subtract 2 from both sides:
So, our answers are:
Since our inequality is a <em>greater than</em>, we will have an "or" inequality.
So, our answer is all values left to the first solution and all values to the right of the second solution:
And we're done!
Answer:
1.8 miles
Step-by-step explanation:
For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:
Then, the distance that he would have saved if he travels directly is:
Answer:
he would have saved:
1.8 miles
Answer: Angle CDG, I think.
Step-by-step explanation:
The definition of Corresponding Angle is: On the same side of the transversal. One is interior and the other is exterior.
Since ADE is interior, then the other angle must be exterior.
Answer:
the answer is 3/2
Step-by-step explanation:
the formula of the slope is
IF you are solving for d:
isolate the D, do the opposite of PEMDAS.
-d/6 + 12 = -7
(subtract 12 from both sides)
-d/6 + 12 (-12) = -7 (-12)
-d/6 = -19
(multiply 6 to both sides)
-d/6(6) = -19(6)
-d = -19(6)
-d = -144
-d/-1 = -144/-1
d = 144
hope this helps