What is the slope of the line?

Answer:

[tex]y = \frac{1}{6} x + 6[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

Use the gradient formula below to find the value of m:

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

[tex]m = \frac{7 - 5}{6 - ( - 6)} \\ m = \frac{2}{12} \\ m = \frac{1}{6} [/tex]

Substitute the value of m into the equation:

y= ⅙x +c

To find the value of c, substitute a pair of coordinates.

When x= 6, y= 7,

[tex]7 = \frac{1}{6} (6) + c \\ 7 = 1 + c \\ c = 7 - 1 \\ c = 6[/tex]

Thus, the equation of the line is y= ⅙x +6.

Answer:

the bottom left on the graph

Step-by-step explanation: so is there a graph on the question if so please snd it to me so i can help u

Answer:

Step-by-step explanation:

The question is not properly written.

Use the explicit formulas below to find a1 ,and a10 for each formula . Show your work a . An =n^3 +4 b . An =-5n+3

a) If An = n^3 + 4

To get a1, we will substitute n = 1 into the equation as shown;

a1 = 1^3 + 4

a1 = 1+4

a1 = 5

If An = -5n+3

A1 = -5(1)+3

A1 = -5+3

A1 = -2

b) If An = n^3 + 4

To get a10, we will substitute n = 10 into the equation as shown;

a10 = 10^3 + 4

a10 = 1000+4

a10 = 1004

If An = -5n+3

A10 = -5(10)+3

A10 = -50+3

A10 = -47

Answer:

46 + 23 = 69

Step-by-step explanation:

iyudtjfktdjfyrtudhcfgmdv

Answer:

|x| = 25

Step-by-step explanation:

Original Equation:

|x - 4| = 21

Just add 4 to both sides

|x| = 25

Hope this helped :)

Answer:

the answer is 25 or -17

Answer:

The answer is 144.

Step-by-step explanation:

The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.

Answer:

The y- intercept is 1

Step-by-step explanation:

Since the line crosses the y-axis at 1, the y-intercept is 1. Like the x-intercept. The line crosses the x-axis at um.. I would say about -1.5, so the x-intercept is -1.5.

Hope this helps you!!!

Answer:

slope(m)=5

Step-by-step explanation:

Answer:

The answer is B.) 7

Step-by-step explanation:

X is 1/3 of Y so when y=21, x will equal 7

Answer:

-4 2/3 times (-1 1/2)

Step-by-step explanation:

Answer:

x < 7

hope this helps!

Answer:

6x-2<4x+12

move the variable and change its sign

6x-4x-12<12

move constant to right hand side and change its sign

6x-4x<12+2

Collect like term

2x<12+2

add the number

2x<14

divide both side

2< 14/2 or 14÷2

final answer :-

2<7

HOPE THIS HELPS

Answer:

1

3

4

7

Step-by-step explanation:

this is what i think it might not be right but i tried my best ;3

can i please have brainly

Answer:

1, 4, 6 those are correct

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

if she got 30 from 6 cars then 30/6 is 5. $5 per car times 7 is $35

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

Answer:

Not a function

Step-by-step explanation:

This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!

Answer: That is not a function

Hope it helped

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

10-20=-10

-10+45=+ 35

Answer:35

Step-by-step explanation:10-20=-10+45=35

Answer:

x=½

Step-by-step explanation:

3x-9=x-8(Group like terms)

3x-x=-8+9(You will subtract x which is also 1x from 3x which is going to be 2x Then you will add -8 to 9 making it 1(positive)).

2x=1(Divide both sides by 2)

x=½

Answer:

0.5

Step-by-step explanation:

3x-9=x-8

3x=x-8+9

3x=x+1

3x-x=+1

2x=+1

x=1/2

x=0.5

Answer:

it is less likely the vehicle wiil turn left as

Step-by-step explanation:

Answer:

It is less likely the vehicle will turn left as

Step-by-step explanation:

Answer:

C) $64

Step-by-step explanation:

(80 x 20)/100 = $16.00

Final Price:

80 - 16.00 = $64.00

Answer:

35

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

28800

Step-by-step explanation:

Hope this helps :D

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

The trigonometry identity is given as:

tan(2x)

When the tangent formula is applied, we have:

[tex]\tan(2x) = \frac{\sin(2x)}{\cos(2x)}[/tex] --- step 4

Expand sin(2x) and cos(2x)

[tex]\tan(2x) = \frac{2\sin(x)\cos(x)}{\cos^(x) - \sin^2(x)}[/tex] --- step 3

The option from the list that obey the above order is (a) 4, 3, 5, 1, 2

Hence, the correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

Read more about trigonometry identity at:

https://brainly.com/question/7331447

#SPJ6

Answer:

A). 4,3,5,1,2

Step-by-step explanation: on edge

Answer:

17% of 13 is 2.21

13 + 2.21 = 15.21

Step-by-step explanation:

Joseph's lunch costs = $13 without taxes

He leaves tip for the waiter = 17% of cost of the lunch

= 17% of $13

= 13 ×  

= ( 13 × 0.17)

= $2.21

Total cost of lunch + tip = 13 + 2.21

                                      = $15.21

Answer:

6-4 because if you meausure it by the sides

Answer:

D

Step-by-step explanation:

fastest way to find out the answer is to replace each solution with the xs of the equation and see if it is Equal to 4. the only solution that is equal to 4 is D)1/3

Answer:

11

31

59

163

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Answer:

y=-2 x=-2

Step-by-step explanation:

y=-x-4

y=x

you can plug y in for x in the first equation by using substitution

y=-y-4

and then you solve for y

2y=-4

y=-2

so y equals -2. Since y=x, x also equals -2. Therefore

y=-2 x=-2