2. 1. Are the following lines parallel? Explain using slopes. ty (0, 3) (-6, 1) 1 (4, 1) 2 4 6 0 2 62 (0, -2)​

Answer:

[tex]\displaystyle y+3=-\frac{4}{5}(x+5)[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

y-k=m(x-h)

Where m is the slope and (h,k) is a point through which the line passes.

We are required to find the equation of the line passing through the point (-5,-3) and parallel to the green line shown in the graph.

We need to find the slope of the green line. Once we have the slope, we will have the slope of our line since parallel lines have the same slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can clearly identify the following points in the green line: (0,4) (5,0):

[tex]\displaystyle m=\frac{0-4}{5-0}=-\frac{4}{5}[/tex]

Now we have the slope and the point, the equation of the line is:

[tex]\displaystyle y-(-3)=-\frac{4}{5}(x-(-5))[/tex]

[tex]\boxed{\displaystyle y+3=-\frac{4}{5}(x+5)}[/tex]

Answer:

x= 1.66 repeating

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x=x−5

Step 1: Subtract x from both sides.

−2x − x = x − 5− x

−3x=−5

Step 2: Divide both sides by -3.

-3x/-3=-5/-3

Answer:

x=1.66 repeating

Answer:

20, 23, 26, 29

Step-by-step explanation:

Answer: x=3.500

Step-by-step explanation:  product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

   2x-7 = 0  

Add  7  to both sides of the equation :  

                     2x = 7

Divide both sides of the equation by 2:

                    x = 7/2 = 3.500

Answer:

Option (2)

Step-by-step explanation:

Given trigonometric expression is,

[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex]

This expression is in the form of an identity,

cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

By substituting the values of A = [tex]\frac{11\pi}{21}[/tex] and B = [tex]\frac{\pi}{7}[/tex] in the identity,

[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex] = cos[tex](\frac{11\pi}{21}+\frac{\pi}{7})[/tex]

                                                  = cos[tex](\frac{11\pi+3\pi}{21})[/tex]

                                                  = cos[tex](\frac{14\pi}{21})[/tex]

                                                  = cos[tex](\frac{2\pi}{3})[/tex]

                                                  = -[tex]\frac{1}{2}[/tex]

Therefore, Option (2) will be the answer.

Answer:

B. -1/2

Step-by-step explanation:

on edge

Answer:

i want some kitty Kat

Answer:

d. 2.30 feet

Step-by-step explanation:

there are around 30 cm per foot so 70 cm translates to around 2.3 feet

Answer:

2.29 fr

Step-by-step explanation:

Convert cm to ft.

Answer: I believe that its the second one, the third one, and the fifth one. Have a great day and good luck!

Step-by-step explanation:

Answer:

the first isnt true, the second is true, the third fourth and fifth are correct and the sixth is false

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

The expression is equal to 12.

Step-by-step explanation:

[tex]-24-(18 / 6)*(-12)[/tex]

First of all, compute the parenthesis.

18 / 6 = 3

Now, replace 18/6 with 3 in our expression.

[tex]-24-(18 / 6)*(-12)[/tex]

[tex]-24-(3)*(-12)[/tex]

Next, compute the multiplication.

-12 * 3 = -36

Again, we'll replace that multiplication with negative 36:

[tex]-24-(3)*(-12)[/tex]

[tex]-24-(-36)[/tex]

Since subtracting a negative number is the same as adding a positive number:

[tex]-24-(-36) = -24+36[/tex]

Compute the addition:

[tex]-24+36=12[/tex]

[tex]-24-(18 / 6)*(-12) = 12[/tex]

Answer: The expression is equal to 12.

Answer:

Square

Step-by-step explanation:

Answer:

a.    m<1 = 105° - 63°                  m<1 = 42°

b. m<3 + m<2 + m<1 = 180°      m<3 = 75°

c. m<4 = m<1                             m<4 = 42°

d. m<5 = m<2                            m<5 = 63°

e. m<6 = m<3                             m<6 = 75°

f. m<7 = m<9                             m<7 = 105°

g. m<8 = m<6                             m<8 = 75°

h. m<10 = m<8                            m<8 = 75°

i. m<11 = m<4                               m<11 = 42°

j. m<12 = 180° - m<11                   m<12 = 138°

k. m<13 = m<11                            m<13 = 42°

l. m<14 = m<12                            m<14 = 138°

Step-by-step explanation:  Sorry if not all are correct

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 =  75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

m<8 =  75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

m<14 = 138°

Learn more here:

https://brainly.com/question/24607467

Answer:

Step-by-step explanation:

Looking at the first graph, we see that if x increases from 0 to 1, y decreases from 2 to 0:

m = rise / run = -2/1 = -2

Arbitrarily choose the reference point (1, 0).  

Then y = mx + b becomes 0 = -2(1) + b, where b is the y-intercept.

Then b = 2, and the desired equation is

y = -2x + 2  

Answer:

15. slope=-2

y-intercept=2

16. slope=2

y-intercept=1

Step-by-step explanation:

ya kinda dub scalliwag, all you need to do is find the growth factor and starting point

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

42/60 = 70%

(Hope I helped)

Answer:

3

Step-by-step explanation:

The slope is positive since it goes from the bottom left to top right so 3 is the only choice

Answer: 3

Step-by-step explanation:

The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).

Answer:

c

Step-by-step explanation:

Answer:

0.17

Step-by-step explanation:

Answer:

C) 0.17

Step-by-step explanation:

There is an invisible decimal behind the 17 in 17% and you have to move that decimal to the right twice. Which makes 17% become 0.17

Answer:

You have $00.01

Step-by-step explanation:

100-99.99=0.01

Answer:

A cent.

Step-by-step explanation:

100 - 99.99 = 0.01

You would have $0.01, or a cent, left.

Hope this helps.

Answer:

at mile 160, both will cost 300

Answer: the last one

Step-by-step explanation:

When an angle is rotated, its angle measure is equivalent to the angle measure of the original angle.

Answer:

sqaure root of 11

5

6

square root of 40

Step-by-step explanation:

square root of 11- 3.31

sqaure root of 40- 6.32

6

5

hope this helps :)

Answer:

m≥3

Step-by-step explanation:

Answer:

m≥3

Step-by-step explanation:

Answer:

tn=9+3(n-1)

Step-by-step explanation:

Formula: tn=t1+d(n-1)

AKA: term n=term 1 plus common difference times n minus 1

For this sequence: tn=tn; t1=9; common difference=3; n-1=n-1

Plug in the answer: tn=9+3(n-1)

Answer:

can you translate please and i well answer your question!

Step-by-step explanation:

Step-by-step explanation:

Let's solve your equation step-by-step.

−5(x+7)=−5x+35

Step 1: Simplify both sides of the equation.

−5(x+7)=−5x+35

(−5)(x)+(−5)(7)=−5x+35(Distribute)

−5x+−35=−5x+35

−5x−35=−5x+35

Step 2: Add 5x to both sides.

−5x−35+5x=−5x+35+5x

−35=35

Step 3: Add 35 to both sides.

−35+35=35+35

0=70

Answer:

There are no solutions.

Answer:

x= no solution

Step-by-step explanation:

-5(x+7)=-5x+35

-5x-35=-5x+35

+5x       +5x

-35= 35

+35 +35

0=70

x=no solution

When x doesn't equal anything, and 0 doesn't equal 0, there is no solution to make the equation true. When 0=0, x can equal any value.