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3 years ago

What is the equation of this line?

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

8 0

Answer:

Not sure but i think its C. y=-2x-3

atroni [7]3 years ago

3 0

Answer:

y = 2x - 3

Step-by-step explanation:

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(20 points)Solve the equation cos x = sin (x + 22)

Law Incorporation [45]

Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

7 0

3 years ago

A circle with radius of \greenD{2\,\text{cm}}2cmstart color #1fab54, 2, start text, c, m, end text, end color #1fab54 sits insid

HACTEHA [7]

Answer:

119.43cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

As we know that

= Area of the rectangle - Area of the circle

where,

Area of rectangle is

$= length \times breadth$

$= 11\times 12$

= 132 cm^2

And, the area of the circle is

$= \pi\times r^2\\\\ = \frac{22}{7} \times 2^2\\\\ = \frac{88}{7} cm^2$

Now the area of the shaded region is

$= 132 cm^2- \frac{88}{7}cm^2$

= 119.43cm^2

We simply deduct the area of the circle from the area of the rectangle so that the area of the shaded region.

7 0

3 years ago

Find the slope between (4,2) and (-6,8)

Anit [1.1K]

The equation for finding slope is y2-y1 over x2-x1.

8-2=6
-6-4=-10

The slope is 6/-10

4 0

3 years ago

The sum of two numbers is 48.<br>the second number is seven times the first number

dusya [7]

Answer:

$\huge\boxed{\sf x =6,\ y = 42}$

Step-by-step explanation:

Let the numbers be x and y

<h3>Given condition:</h3>

x + y = 48 --------(1)

y = 7x -------------(2)

Put Eq. (2) in (1)

x + 7x = 48

8x = 48

Divide 8 to both sides

x = 48/8

Put x = 6 in Eq. (2)

y = 7 (6)

$\rule[225]{225}{2}$

6 0

2 years ago

Read 2 more answers

5. Which number is a perfect cube? <br> 7<br> 25<br> 66<br> 27

Veseljchak [2.6K]

The answer is 27 because the cubed root is 3

4 0

3 years ago

Read 2 more answers