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Greeley [361]
3 years ago
15

Can someone help me with several questions?

Mathematics
1 answer:
juin [17]3 years ago
8 0

Answer:

1.) -1

2.) 5.6

3.) -1

4.) 12

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If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
Ksju [112]

<u>Answer:</u>

  • Slope = 27/11
  • AB = 29.15 u

<u>Step-by-step explanation:</u>

<u>Given :- </u>

  • Two points are given to us .
  • The points are A(7,15) and B(18,42)

<u>To Find</u> :-

  • The slope of the line .
  • The length of line AB .

We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

  • Plug in the respective values ,

\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

5 0
3 years ago
A ski area has a high-speed lift that can move 2,400 skiers to the top of the mountain each hour.
jeyben [28]

Answer:

a. h2400 b.33600 c.1.5

Step-by-step explanation:

a.

2400 skiers per hour

then in h hours h x 2400 skiers

b.

in 14 hours 14x2400=33600 skiers

c.

to move 3600 skiers we need 3600/2400=1.5 hours

4 0
3 years ago
A right-angled triangle has sides which are 5 inches and 12 inches. How long is the triangle's hypotenuse?
Andrew [12]

Answer:

13 inches

Step-by-step explanation:

Use the Pythagorean Theorem:

a^2 + b^2 = c^2

(5)^2 + (12)^2 = c^2

c^2 = 169 in^2

c = 13 inches

4 0
2 years ago
Which of the h-values satisfy the following inequality?
olasank [31]

Answer:

12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve for x. 3/5 x=9 What should we do first? Finish solving it and what do you get for x? A) 27/5 B) 30 c) 15
kumpel [21]

Answer:

c.) 15

Step-by-step explanation:

1st Multiply both sides by 5: 5×3/5x=9×5

2nd Simplify: 3x=45

3rd Divide both sides by 3: 3x÷3=45÷3

4th Simplify: x=15

3 0
3 years ago
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