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2 years ago

What is the slope of a lline that contains points (-1,2) and (3,3)

Mathematics

1 answer:

Nesterboy [21]2 years ago

5 0

$m = \frac{3 - 2}{3 + 1} \\ = \frac{1}{4 } \\ slope = \frac{1}{4}$

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4 and x the expression is help to aswer

Zina [86]

You can use a calculator off the internet for that!

5 0

2 years ago

Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?

devlian [24]

Answer:x = 0.028571 cm3

Step-by-step explanation:

I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?

So, let x be the volume in cubit centimeters.

the mass is to the volume is as the mass is to the volume

3.5g /(1 cm3) = 0,1g / (x cm3)

Cross-multiply to get:

3.5x = 0.1

x = 0.1 / 3.5 (divide both sides by 3.5)

x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !)

7 0

2 years ago

Help me plzzzzzzzzzz I give u BRAINLY

weqwewe [10]

The answer is

X= 3 and Y= -4

6 0

2 years ago

Read 2 more answers

Sinx + siny=a<br> cosx + cosy=b<br> Find cos(x+y/2)

romanna [79]

Using the addition rule of the Sine function and the Cosine function, we obtain $\cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}$ .

<h3>What are the formulas for (sin x + sin y) and (cos x + cos y)?</h3>

The formula for the addition of two Sine functions ( $\sin x+\sin y$ ) is $\sin x + \sin y = 2\sin\frac{x+y}{2}\cos\frac{x-y}{2}$ .
The formula for the addition of two Cosine functions ( $\cos x+\cos y$ ) is $\cos x + \cos y = 2\cos\frac{x+y}{2}\cos\frac{x-y}{2}$ .

Given that

$\sin x + \sin y = a\\\cos x + \cos y = b$

Then using the above formulas, we get:

$2\sin\frac{x+y}{2}\cos\frac{x-y}{2}=a$ (1)

$2\cos\frac{x+y}{2}\cos\frac{x-y}{2}=b$ (2)

Dividing the equation (1) by (2), we get:

$\dfrac{\sin\dfrac{x+y}{2}}{\cos\frac{x-y}{2}}=\dfrac{a}{b}\\\Longrightarrow \tan\dfrac{x+y}{2}=\dfrac{a}{b}$ (3)

Now, we know that $\cos\theta=\dfrac{1}{\sqrt{1+\tan^2\theta}}$ .

Thus, using the above formula, we get from (3):

$\cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\tan^2\dfrac{x+y}{2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\dfrac{a^2}{b^2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}$

Therefore, using the addition rule of the Sine function and the Cosine function, we obtain $\cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}$ .

To know more about Sine and Cosine functions, refer: brainly.com/question/27728553

#SPJ9

3 0

1 year ago

1. Multiply (x+7)(x-7)

Yakvenalex [24]

X^2+7x-7x-49
Simplified = x^2-49

7 0

3 years ago