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Answer:

[tex]y - x = 2[/tex]

Step-by-step explanation:

Given

Points (-2,0) and (-3,-1)

Required

Equation of Line

The first step is to determine the slope of the line; using the following formula

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

[tex]Where\ (x_1,y_1) = (-2,0)\ and\ (x_2,y_2) = (-3,-1)[/tex]

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

[tex]m = \frac{-1 -0}{-3 - (-2)}[/tex]

[tex]m = \frac{-1}{-3 +2}[/tex]

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

[tex]m = 1[/tex]

The next is to determine the equation of the line using any of the points

The formula is as thus;

[tex]m = \frac{y - y_1}{x - x_1}\ or\ m = \frac{y - y_2}{x - x_2}[/tex]

Using [tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-2,0)\ and\ m =1[/tex]

[tex]1 = \frac{y-0}{x - (-2)}[/tex]

[tex]1 = \frac{y-0}{x +2}[/tex]

[tex]1 = \frac{y}{x +2}[/tex]

Multiply both sides by x + 2

[tex](x+2)*1 = \frac{y}{x +2} * (x+2)[/tex]

[tex](x+2)*1 = y[/tex]

[tex]x+2 = y[/tex]

[tex]y = x + 2[/tex]

Subtract x from both sides

[tex]y - x = x - x +2[/tex]

[tex]y - x = 2[/tex]

Hence, the equation of the line in standard form is [tex]y - x = 2[/tex]

Answer:

Below in bold.

Step-by-step explanation:

A. We can calculate the slope using (y2 - y1) / (x2 - x1)

= (3 - (-2)) / (1 - 6)

=  5/-5

= -1.

So the given slope of 3 or one of the points is NOT correct.

B. If the point (1, 3 ) and the slope are correct then the equation  for the line  (using the point-slope form) is y - 3 = 3(x - 1)  

C Another point on this line would be , when x = 0 , y = 3*-1 + 3 = 0

so it's (0, 0)

D. If the given points are correct the slope is ( as above) =  -1.

E. The equation for this line is

y - 3 = -1(x - 1)

y = -x + 1 + 3

y = 4 - x.

Answer:

  A.  B = 64.13° or B' = 115.87°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions using the Law of Sines. Either way, we have ...

  sin(B)/16 = sin(θ)/15.4

  B = arcsin(16/15.4·sin(60°)) ≈ arcsin(0.899767)

  B = 64.13° or B' = 180° -64.13° = 115.87°

Answer:

Rachel can make 3/6 out of 4/6 of the recipe.

Step-by-step explanation:

The amount of the recipe that Rachel can make is 1/2.

To determine how much of the recipe Rachel can make with 1/2 cup of yogurt, we need to find the fraction of the recipe that corresponds to that amount.

The recipe calls for 2/3 of a cup of yogurt, and Rachel has 1/2 cup. To compare these two amounts, we need to find a common denominator.

The least common denominator (LCD) for 3 and 2 is 6. To convert the fractions to have a denominator of 6, we multiply the numerator and denominator of 2/3 by 2, and the numerator and denominator of 1/2 by 3:

2/3 x 2/2 = 4/6

1/2 x 3/3 = 3/6

Now, we can see that Rachel has 3/6 cup of yogurt, which is equivalent to 1/2 cup. This means she has exactly half of the required amount.

Therefore, Rachel can make 1/2 of the recipe with the amount of yogurt she has.

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Answer:

B

Step-by-step explanation:

11 13 18 19 22 25 29 32 37 37 38

find the median (25)

with 11,13,18,19,22 find the middle for that (18) Q1

with 29,32,37,37,38 find the middle for that (37)Q3

Q3-Q1

37-18=19

Answer:

Step-by-step explanation:

Cost of two tubes = $ 3.23

Regular price of one tube = $ 1.79

so, the cost of other tube = 3.23 - 1.79 = $ 1.44

Discount = 1.79 - 1.44 = $ 0.35

Answer:

C

(4)+8 = 3(4)

12=12

Step-by-step explanation:

Answer:

Percent error is [tex]7.4\%[/tex]

Step-by-step explanation:

Given:

As per the result of experimental work, density of a liquid is 0.1369 g/㎤

Known density of the liquid is 0.1478 g/㎤

To find: percent error

Solution:

The density of a substance is defined as mass per unit volume.

S.I. unit is Kilogram per cubic metre.

Error = Actual density - density as per the experiment = [tex]0.1478-0.1369=1.0109\,\,g/cm^3[/tex]

Percent error = ( error/Actual error ) × 100 = [tex]\frac{0.0109}{0.1478}\times 100=7.4\%[/tex]

Answer:

Say the first car speed as r

Second car speed will be r-14

Since rate times time equal distance, we have

r + (r -14)2 = 300

2r -14 = 300/2

2r = 150+14

r = 164/2 = 82

Speed of slower car 82-14 = 68 km/hr

Answer:

A, B, D

Step-by-step explanation:

Answer:

B. D. A.

all of these answers i typed down are true and correct

Answer:

mean absolute deviation

Answer:

r = 18

Step-by-step explanation:

Subtract the seven from both sides

25 -7 = 7 - 7 + r

18 = r

Simple as that!

Hope this helps!

The solution of the given equation is 18.

The given equation is 25=7+r.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 7 to other side of the equation, we get

r=25-7

r=18

Therefore, the solution of the given equation is 18.

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Answer:

Your Answer is 21

[tex]answer = 42 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

(–5, 5)

Step-by-step explanation:

Start with the x-axis (left and right).

-5 so you go to the left by 5 steps.

Next is y-axis (up and down).

Without moving your spot in -5, you move up by 5 steps.

That is point F.

Tip: (x-axis, y-axis) or (left/right, up/down)

Negative number: Left or Down

Positive number: Right or Up

Answer:

Please i think the question is not complete

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

55135 lbs

Step-by-step explanation:

Answer: C

Step-by-step explanation:

f(x) = x² and g(x) = x + 1

This is composite function, i.e function of a function

g(f(x)) = g(x²), since f(x) = x²

f(-2) = (-2)² = 4

g(f(-2)) = g(4) = 4 + 1 = 5

Answer: Linear pair

Step-by-step explanation:

They are a linear pair because

1) their angles add up to be 180 so complementary is out

2) they aren't vertical of each other so vertical angles is out

And 3) they aren't adjacent angles

Answer:

C

Step-by-step explanation:

Answer:

Number of algae in 7 days = 70.355

Step-by-step explanation:

Given:

Algae in beginning = 50

Rate of increasing = 5% per day = 0.05

Number of days = 7 days

Find:

Number of algae in 7 days.

Computation:

[tex]Number\ of\ algae\ in\ 7\ days = Algae\ in\ beginning(1+Rate\ of\ increasing)^{Number\ of\ days}\\\\Number\ of\ algae\ in\ 7\ days = 50(1+0.05)^7\\\\Number\ of\ algae\ in\ 7\ days = 70.355[/tex]

Number of algae in 7 days = 70.355

Answer:

70

Step-by-step explanation:

Acellus

Answer:

77/6 or 12 5/6

Step-by-step explanation:

put it into improper fraction

then multiply 11/2 by 7/3

Answer:

decimal 0.25 percent 25

Step-by-step explanation:

Decimal -divide by 100%

Percent -multiply by 100

Answer:

Hope this is correct

Answer

b.) The measure of the central angle is equal to 360°.

Step-by-step explanation:

The car is moving on a rough road with a constant velocity. Hence, its acceleration is zero. As per Newton 's second law of motion, no net force is acting on ...

The true statement is The measure of the central angle is less than 180°.

The correct option is (A)

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

If the central angle is less than 180 degrees then the sector is known as a minor sector.

The definition of the minor sector also says that "the central angles of a minor sector is less than 180"

Hence, The central angle of a minor sector is less than 180° is true.

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Answer:

A

Step-by-step explanation

Answer:

You're only showing the first option...

Answer:

d it adds the two up and only mutiplys terris amount.

Answer:

150.6

Step-by-step explanation:

It is quite simple. Do you see the word "of" in there? That indicates that you have to multiply. All you have to do is multiply 1/4 by $602.40, and you will find your answer. You could figure it out on a sheet of paper but I recommend using a calculator.

Answer:

It will take a lot of time and effort to bring the stuff from the truck to the building

Step-by-step explanation:

Hope that's the kind of answer you wanted

Answer:

1 or 4/4

It is certain that the spinner will land on a number less that 5 because the selections are labeled 1 to 4 and the numbers 1 to 4 are less than 5.