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3 years ago

Find the equation of the line

Mathematics

1 answer:

Valentin [98]3 years ago

7 0

Answer:

$y=-5x+1$

Step-by-step explanation:

$m=15-5/-6+4\\m=10/-2\\m=-5\\y=-5x+b\\x=4, y=5\\5=1(4)+b\\5=4+b\\5-4=b\\b=1\\y=-5x+1$

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How many different triangles can you make if you are given these two lengths for sides?

kykrilka [37]

Answer:

Infinitely many triangles.

Step-by-step explanation:

Given the lengths of two sides are 8 inches and 10 inches.

Let's assume third side = x inches.

Using the Triangle Inequalities given as follows:-

1. a+b > c,

2. b+c > a,

3. c+a > b.

Using the lengths given in the problem, we can write:-

1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.

2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.

3. 8+10 > x ⇔ x < 18.

So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).

Hence, there are infinitely many triangles.

3 0

3 years ago

Read 2 more answers

What kind of construction is it??

pochemuha

That is an angle bisector.
It divides an angle in half
hope it helps

3 0

3 years ago

A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that

USPshnik [31]

Answer:

$204

Step-by-step explanation:

The question is at what price x will the company maximize revenue.

The revenue function is:

$R(x) = 4,080x-10x^2$

The price for which the derivate of the revenue function is zero is the price the maximizes revenue:

$R(x) = 4,080x-10x^2\\\frac{dR(x)}{dx}=0=4,080-20x\\x=\frac{4,080}{20}\\ x=\$204$

The company will maximize its revenue when the price is $204.

7 0

3 years ago

The area of a rectangle is 48 cm² and the length of the rectangle is 8 cm longer than the width. What is the equation you would

ehidna [41]

48= l*w
l= 8+w

To solve for width, substitute the value of l in the first equation so that everything is in terms of w.

Final answer: 48= (8+w)*w

5 0

3 years ago

Simplify.

yKpoI14uk [10]

$(-5p^4z^6u)^3$

$= (-5)^3p^{4 \times 3}z^{6 \times 3} u^3$

$= -125p^{12}z^{18} u^3$

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$\text {Answer = } -125p^{12}z^{18} u^3 \text { (Answer C) }$
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3 0

3 years ago

Read 2 more answers