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victoriapellam04
25.09.2020 •
Mathematics
Which of these objects is the shortest in length? 1. c.
The Roberts family is taking a road trip. They plan to 2.
drive 1500 miles over two days, stopping for the night
when they are halfway. How many hours will they drive
for the first day if they average 50 mph over the course of the trip?
Joe is riding his bicycle 25 kilometers per hour. Which 3.
expression will correctly calculate the distance Joe will
travel over a period of 1 minute and 30 seconds?
Which of the following are appropriate names for the angle 4.
composed of the rays and ? Select the three
correct answers.
Six friends live on the same street. The coordinates for where 5.
they live are given in the table below. Which friends live exactly
25 units apart?
John
(2,3)
Alexis
(27,3)
Marsha
(9,3)
Ellen
(5,3)
Patrick
(23,3)
Dawn
(14,3)
A landscaping company is trying to create a formula to predict 6.
the amount of time, t, required to mow a yard based on the
area of the yard, A, the speed of the mower, v, and the width
of the mower, w. One employee suggests a formula of
t=1.15Avw. Does this formula make sense? Explain.
No, the result has dimensions of time over length squared instead of time.
No, the result has dimensions of length instead of time.
Yes, the result has the required dimension of time.
No, the result has dimensions of length times time instead of time.
Find the distance between (-4,6) and (-5,3). 7.
Round to the nearest tenth.
Which of the polygons below has the largest perimeter? 8.
A square with vertices (6,3),(3,3), (3,0),(6,0).
A triangle with vertices (-5,-4), (-5,0), (-1,0).
A rectangle with vertices (2,0),(2,2),(5,0),(5,2).
In your own words, explain how to bisect a line segment.
The following table lists the coordinates for where John 10.
and his friends live. Which friend lives the closest to John?
Alexis
(6,2)
Marsha
(5,-1)
Ellen
(4,-2)
John
(2,0)
Tom is making a triangular enclosure in his yard. He plans 11.
on using two old fence posts as vertices, and will place a
new fence post for the third vertex. The old posts are located
at (-5,4) and (2,6), where the coordinates are given in feet.
If he has 25 feet total of wire fencing available to close off
the area, how much wire fencing will he have left, after he
connects the two posts he has already placed?
In your own words, explain how to bisect an angle.
Find the perimeter of the quadrilateral whose vertices 13.
are as follows.
(-1,1),(-2,4),(-4,2),(-3,-1)
For a right triangle with coordinates (1,4),(4,4),(1,8), explain why both the distance formula and the Pythagorean Theorem can be used to find the length of the hypotenuse.
Why is it important to use a straightedge when performing constructions?
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Ответ:
Simplify
6(5+3)=(6)(5)+6y
48=30+6y
48=6y+30
Flip the equation.
6y+30=48
Subtract 30 from both sides.
6y+30−30=48−30
6y=18
Divide both sides by 6.
6y / 6 = 18/ 6
y=3