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N76 [4]
3 years ago
13

Line AB contains points A (4,5) and B(9,7). What is the slope of AB

Mathematics
2 answers:
ki77a [65]3 years ago
8 0
This line crosses the point (4,5)so we can make an equation to find the slope:
4 = a \times 5 \\ 4 = 5a \\  a =  \frac{4}{5}
hope this helps

Nikolay [14]3 years ago
8 0
Answer. I have no idea the answer either but i am hoping to get one for this as well so please someone help us both if you can.

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In a trolley ride around an amusement park, a child traveled from one signpost to a second signpost at a constant speed of 125 m
Inessa05 [86]

Answer:

Given speed of trolley = 125 meters per minute

Speed= 125 meters/minute\\\\Speed =\frac{125}{60}meters/second\\\\Speed=2.083m/s

Now we know that

Distance= Speed x time

Thus for the first case since the time of travel is less than 450 seconds thus the distance traveled is less than

Distance < 2.083 x 450 =937.5 meters

hence depending on the given information we cannot come to any conclusion weather the distance travelled is less than 800 m or greater than 800 m.

For the second case

since the time of travel is greater than 400 seconds

Thus the distance traveled is

Distance>2.083\times 400=833.2meters

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4 0
4 years ago
The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a
zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = \frac{1}{2}\times Base \times Height

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0

This is a quadratic equation which can be solved using a quadratic equation as shown below:

h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

8 0
3 years ago
Three percent converted to a decimal
Ymorist [56]
The answer is 0.03. Hope I help:)
5 0
4 years ago
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Phantasy [73]

Answer:

Here is how it should look

Step-by-step explanation:

5 0
3 years ago
X - 6 = 5x – 2<br> help
KiRa [710]

Answer:

-6+2=5x-x

-4=4x

-4/4=X

0=x

8 0
3 years ago
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