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Bess [88]
2 years ago
8

Your mother takes you to your grandparents’ house for dinner. She drives 60 minutes at a constant speed of 40 miles per hour. Sh

e reaches the highway, quickly speeds up, and drives for another 30 minutes at constant speed of 70 miles per hour.
a. How far did you and your mother travel altogether?
b. How long did the trip take?
c. Your older brother drove to your grandparents’ house in a different car but left from the same location at the same time. If he traveled at a constant speed of 60 miles per hour, explain why he would reach your grandparents’ house first. Use words, diagrams, or numbers to explain your reasoning.
Mathematics
1 answer:
Tomtit [17]2 years ago
4 0

Answer:

a) 75 miles

b) 90 minutes

c) His constant speed was higher for a longer period of time

Step-by-step explanation:

a) 70 / 2 = 35

40 + 35 = 75

b) 60 + 30 = 90

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Y&lt; 3x + 6<br> Determine if (2,4) is a solution
kap26 [50]

Answer:

Yes

Step-by-step explanation:

4 < 3(2) + 6

4< 6+6

4 < 12

3 0
2 years ago
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Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.
AVprozaik [17]

Answer:

\sqrt{37} units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.  

We know the formula of length of perpendicular from a point (x_{1}, y_{1} ) to the straight line ax + by + c = 0 is given by  

\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}

Therefore, in our case the perpendicular distance is  

\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}  units. (Answer)

6 0
3 years ago
What are the parallel sides of a trapezoid​
saul85 [17]

Answer:

Parallel means that the lines will never cross. If we look at a  traditional trapezoid, the top side and the bottom side are straight lines that will never cross one another. The left and right sides are slanted towards one another, to they are not parallel.

Hope this helped. : )

3 0
3 years ago
Write each fraction as a sum or difference 14-6x/19
Oksanka [162]
<span>Given number : 14 - 6x / 19
So we need to write this fraction as a sum or difference.
First, simplify the given number:
=> 14 – 6x / 19
=> <u>14 x 19 – (6x</u>)
            19
=> <u>266 – 6x</u>
         19
=> 266 – 6x = -2 * (3x - 133)
Thus, the final result would be:
=> <u>-2 * (3x - 133) </u> => This will be the fraction sum or difference of the given number<u>
</u>               19

</span>



8 0
2 years ago
Is anyone good with this? I need help finding the answer.
dybincka [34]
To solve this problem, we have to find the perimeter of the shape.
we already know that two of the sides are 82m, all we need to do is find the circumference of the semicircles.
to find circumference, you multiply the diameter of a circle by pi. since we have two identical semicircles, we have one full circle. 66•3.14=207.24
207.24+82+82=371.24
the answer is 371.24m
3 0
3 years ago
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