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2 years ago

Write an equation in slope-intercept form of the line that passes through the given points.

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

3 0

Answer:

y = 1/3x -3

Step-by-step explanation:

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

2 years ago

Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How

Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

$x+y=42$ ----> equation A

Frank has 6 more than half the number of cards as his friend

$x=\frac{y}{2} +6$ ---> equation B

Solve the system by substitution

Substitute equation B in equation A

$\frac{y}{2} +6+y=42$

solve for y

$\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24$

<em>Find the value of x</em>

$x=\frac{24}{2} +6=18$

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0

2 years ago

Explain how does knowing 1 + 7 helps you find the sum for 7 +1

astra-53 [7]

Well 1+7 =8
And 7+1 are the same digits so 1+7=7+1=8

3 0

2 years ago

Read 2 more answers

What two numbers add up to 18 and multiply to 80

mestny [16]

Answer:

8 and 10

Step-by-step explanation:

First, let's look at the factors of 80.

1 • 80 = 80

2 • 40 = 80

4 • 20 = 80

5 • 16 = 80

8 • 10 = 80

Look at each pair and evaluate their sum.

1 • 80 = 80

1 + 80 = 81

2 • 40 = 80

2 + 40 = 42

4 • 20 = 80

4 + 20 = 24

5 • 16 = 80

5 + 16 = 21

8 • 10 = 80

8 + 10 = 18

Our last pairing multiplies to 80 and adds up to 18. Therefore, your answer is 8 & 10.

Hope this helps!

4 0

2 years ago

Please solve this with explanation

SpyIntel [72]

Answer:

-27/8

Step-by-step explanation:

just times than the power -3

5 0

2 years ago