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3 years ago

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]

Answer:

Slope = 27/11
AB = 29.15 u

Step-by-step explanation:

Given :-

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

To Find :-

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 ,

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

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

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

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

Hence the length of AB is 29.15 units .

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:

2400 skiers per hour

then in h hours h x 2400 skiers

in 14 hours 14x2400=33600 skiers

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:

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