Answer:
Step-by-step explanation:
Givens
d = 2365 miles
r = 55 miles / hour
t = ?
Formula
d = r * t
Solution
d = r * t
2365 = 55 * t Divide by 55
2365/55 = t
t = 43 hours.
Answer:
The original price of the tent was $130,00.
Step-by-step explanation:
The original price of the tent will be called "x". The store increased the value by 25%, so the new value is the original one plus 0.25 of the original one, so the new value is 1.25*x. The costummer paid the increased value less the $10 from the coupon, so we have:
paid = 1.25*x - 10
Since he paid $152.5 for the tent we can compute the original value as shown bellow:
152.5 = 1.25*x - 10
1.25*x = 152.5 + 10
1.25*x = 162.5
x = 162.5/1.25 = 130
The original price of the tent was $130,00.
Answer:
Here's what I get.
Step-by-step explanation:
The rule is (x, y) ⟶ (x + 3, y + 4).
That means you must move each point three units to the right and four units up. Thus,
M(-3, -2) ⟶ M'(0, 2)
N(-1, 4) ⟶ N'(2, 8)
P(2, 4) ⟶ P'(5, 8)
Q(4, -2) ⟶ Q'(7, 2)
Your quadrilateral is a trapezoid. Both MNPQ and its image M'N'P'Q' are shown in the Figure below.
In order to check if the lines are perpendicular, we need to check if their slopes have the following relation (to find the slope we can use the slope-intercept form y = mx + b):

A.
In this option, y = -5 is an horizontal line and x = 2 is a vertical line, therefore they are perpendicular.
B.
First let's find the slope of each line:

These slopes obey the relation stated above, so the lines are perpendicular.
C.

These slopes obey the relation stated above, so the lines are perpendicular.
D.

These slopes obey the relation stated above, so the lines are perpendicular.
E.

These slopes don't obey the relation stated above, so the lines aren't perpendicular.
The correct options are A, B, C and D.