Answer:
4 miles
Step-by-step explanation:
<span>-2x – 4 < 10
add 4 to both sides
-2x - 4 + 4 < 10 + 4
simplify
-2x < 14
divide both sides by -2
-2x/-2 < 14/-2
simplify
x < -7</span>
To get a perpendicular line, your slopes will equal -1 when multiplied...this means if we multiply - 4 x (1/4), we get out slope to use for the next step.
Y - Y1 = M(X - X1) passes through (-2, 7)
Y - 7 = 1/4(X - (-2))
Y - 7 = 1/4(X + 2)
Y - 7 = 1/4X + 1/2
+7 + 7
Y = 1/4X + 7.5
Ok, you can refer to the midpoint formula to find the endpoint. Here goes...
MP=(2,-7) and EP=(8,-5)
Let x represent the missing endpoint.
(8+x)/2=2 NOTE: =2 represents first number of MP and the representation of number 8 is self explanatory. You have two endpoints but need to identify the other endpoint so you divide by 2. Then, multiply by two on both sides.
2(8+x)/2 = 2*2
16+x/2=4 do the next step (simplify) on the left side of equation 16x/2=8
Now, subtract 4-8=-4 So, the x coordinated of the missing endpoint is -4.
Answer:
{x| –2 ≤ x < 5}
Step-by-step explanation:
There is a box function plotted on the graph.
The function is g(x) = –⌊x⌋ + 3.
Now, we know that a box function represents a step graph having horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle.
It is given that the left-most segment of the given graph goes from (-2,5) to (-1,5) and the rightmost segment goes from (4,-1) to (5,-1).
So, for the left most segment the domain is -2 ≤ x < -1
And for the right most segment the domain is 4 ≤ x < 5
Therefore, the total domain of g(x) will be {x| –2 ≤ x < 5} (Answer)
