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trasher [3.6K]
3 years ago
5

What is the slope of the line passing through the points (−3, 4) and (4, −1)?

Mathematics
1 answer:
Igoryamba3 years ago
3 0
Note:
The slope of a straight line passing through the points (x₁, y₁) and (x₂, y₂) is 
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

The two given points are (-3,4) and (4,-1). Therefore the slope is
m= \frac{-1-4}{4-(-3)} = \frac{-5}{7}

Answer: - \frac{5}{7}

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Sergio plans to drive 150 miles at a rate of 60 miles per hour. He figures that it will take 25 hours. Which is NOT a reason why
Tanzania [10]

Answer:

B

Step-by-step explanation:

This is a distance-rate-time problem, so we need to use the equation: d=rt, where d is the distance, r is the rate, and t is the time.

Here, we know that the total distance is 150, so d = 150. Also, we are given that Sergio's rate is 60 mph, so r = 60. Put these in:

d = rt

150 = 60t

To solve for t, we divide both sides by 60. Because we are dividing and not multiplying, we know that B is the only one that is incorrect.

Hope this helps!

7 0
3 years ago
Read 2 more answers
3) A tour trolley covers a distance of 8.5 miles in of an hour.
sp2606 [1]

Answer:

a) Ans: 8.5 miles per hour

b) Ans: 46.75 miles

Step-by-step explanation:

a) Speed = Distance/Time

8.5/1h = 8.5 miles per hour

b) Distance = Speed x Time

8.5 miles per hour x 5.5h = 46.75 miles

5 0
3 years ago
5 - 3(-2) + |-3| please explain
Natalija [7]

Answer:

14

Step-by-step explanation:

=5+6+|-3|

=11+|-3|

=11+(-√3^2)

=11+3

=14

7 0
3 years ago
X+a=3/4 I don't know how to solve this and I need someone to help explain it to me.
Aneli [31]
I think you should Subtract
a
a
from both sides of the equation.
x=3/4-a and that’s your answer
8 0
3 years ago
Find the volume of a right prism with height h=10 cm, if :
kozerog [31]

Answer:

Step-by-step explanation:

          So, to begin the altitude of a triangle is the line segment that starts at the top vertex and ends at the base of the triangle forming a right angle. If we want to find the volume of the of the prism the formula is Ab*h. This is the area of the base, times the height of the prism. This is true because a simple expination of volume is a box filled with stuff. To count how much stuff we have in the box the formula uses layers. Volume is just like a lot of 2 dimential areas stacked on top of each other. So taking the area of the flat base and puting it on top of it self 10 time will give you the same prism thats in the problem. Now we just have to apply the consept. Since the base is a triangle and we need to find the area. The formula is b*h*1/2. Base time height times 1/2. The reason for this is also simlar to area. A triangle is half of a square, so to find the area of a square the formula is L*W. Since a triangle is half of a square you just multipuly it by 1/2. When solved you will get 4*3.5*1/2=7, the area of the base is 7 cm^2. Now appling the topic above we stack the base 10 times, so 7*10=70. In conculstion the volume of the prism would be 70 cm^2.

6 0
2 years ago
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