Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all of your calculations.

Answers

Answer 1

Answer:

y = 3x + 5        

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of points A and B into the formula and simplify:

[tex]m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3[/tex]

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.  

3) Using slope-intercept format, represented by the equation [tex]y = mx + b[/tex], write the equation of the line. Remember that the number in place of [tex]m[/tex], or the coefficient of the x-term, is the slope. So, substitute 3 for [tex]m[/tex]. Also, remember that [tex]b[/tex] represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

[tex]y = 3x + 5[/tex]


Related Questions

Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
HINT: Use the distance formula:
d = V(x2 - xı)2 + (y2 - yı)2

Answers

Answer:

The distance is of 10.8 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this question:

C(-5,4) and D(5,8). So

[tex]D = \sqrt{(5-(-5))^2 + (8-4)^2} = \sqrt{10^2 + 4^2} = 10.8[/tex]

The distance is of 10.8 units.

find the value of X in the triangle shown below

Answers

Answer:

62.

Step-by-step explanation:

The length 5.7 is the base since it is the side that isn't congruent to 1 mroe side. Therefore, the angles connected to it, including x, is congruent. Sum of angle in triangle=180. given angle 56. 180-56=124. x+x(congruent angles)=124. 2x=124. x=62.

Answer:

62

Step-by-step explanation:

180 - 56 = 124

124/2 = 62

Which of the following is equivalent to the expression below?
4x + 2(3-x)

6x + 6
3x+6
5x + 6
2x +6​

Answers

Answer:

2x + 6

Step-by-step explanation:

you have to factorize the above equation first and you'll get the answer

The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?

a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs

Answers

Answer:

C. To control both unintentional research bias and participant prior beliefs

Step-by-step explanation:

Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.

Thus,the correct answer is option C as it includes both the researcher and the participants

Help help help help help help

Answers

Answer:

18.457

Step-by-step explanation:

Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0

Answers

Answer:

x=-8

x=-6

Step-by-step explanation:

Don't really know how to explain this. I never was good at completing the squares.

Hope that this helps!

What is the approximate distance between Chaplain and Asherville?
OA. 30.9 miles
OB.
14.7 miles
O c.
29.8 miles
OD.
16.4 miles

Answers

Answer:

B

Step-by-step explanation:

Remark

I'm hesitant to get an exact answer. You could do that with the cos law for distance. To get an approximate answer you could use the Pythagorean Theorem.

I'll try the cos law first.

Formula

c^2 = a^2 + b^2 - 2abcos(C)

Givens

c = 24

a = 18

b = ?

Solution

24^2 = 18^2 + b^2 - 2*18*b*cos(94)

576 = 324 + b^2 - 36*b*(-0.0698)

0 = 324 - 576 + b^2 + 2.511b

0 = b^2 + 2.511 - 252

Using the quadratic formula, the roots are

b1 = 14.66

b2 = - 17.11

The second one has no meaning in the real world.

Answer

the distance is 14.66 miles from Chaplin to Asherville

Note: using the Pythagorean theorem gives 15.87 which I would count as a good approximation.

Answer:

14.7

Step-by-step explanation:

got 100% on plato

Which expressions are equivalent to 6 + 12x?

Answers

Answer:

Expressions A, C, D are equivalent

Step-by-step explanation:

Equivalent expressions:

Two expressions are equivalent if they give the same result. So

Option A:

3(2 + 4x)  =3*2 + 3*4x = 6 + 12x

So equivalent

Option B:

3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent

Option C:

5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.

Equal, so equivalent

Option D:

7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x

Equal, so equivalent.

Option E:

7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x

Different, so not equivalent.


If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?

Answers

Answer: 114 homeruns on mars

Step-by-step explanation: 76 homeruns x 0.5 = 38

76+38 = 114

Please help me simplify this!!! Thank you so much.

Answers

Answer:

[tex] {3}^{2} [/tex]

Step-by-step explanation:

♡ Good Lessons ♡

Answer:

it's indices tho so you'll use addition/subtraction rule

Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 how many adult tickets did they buy

Answers

Answer: They purchased 14 adult tickets and 4 kids' tickets.

Step-by-step explanation:

14 x 5 = 70

3x4=12

and then add 70 plus 12 to get 82 dollars

9/11 = c/55


c=???
answwedbhksjbdew
\

Answers

Answer:

C=45

if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5

multiply 9 by 5 to get 45

Step-by-step explanation:

Answer: c=45

Brainiest please!

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

The answer is the top one

In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.

Answers

Answer:

10

Step-by-step explanation:

Can't do that. I have to write some sort of explanation or the mods have a fit.

Side opposite = 5 √3

Sin(60) = √3 /2

Hypotenuse = x

Sin(60) = √3/2 = 5√3 / x

√3/2 = 5√3 / x                  Multiply both sides by x

x √3/2 = 5√3                    Divide both sides by √3

x/2 = 5

x = 10

The hypotenuse is 10 units long.

hellp me for a brainly

Answers

Answer:

25π or 78.5mm²

Step-by-step explanation:

[tex]A=3.14*5^{2} \\ =3.14*25\\ =78.5[/tex]

Answer:

78.5 mm² or answer D.

Step-by-step explanation:

The formula for the area of a circle is

A = π*r²

Now we can rewrite with the radius. *Note* I am using 3.14 for pi to make it easier*

A = π*5²

Solve

5² = 25

25 * 3.14 = 78.5

Now since the measurements were done in millimeters, we will add mm to the end.

Also since it is area, we need to add ²

78.5 mm²

Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?

Answers

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]

So, the length of the other side is equal to 3.5 cm.

literally a goat if someone gives me an answer for this please

Answers

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

plz help will give brainiest what is x if it equals y*z*f*r*356 if y=18 z=5 f=7 and r=28 quick help

Answers

Answer:

                                           

Step-by-step explanation:

Avery has 6 yards of ribbon. He needs 1/3 yard to make 1 bow.
How many bows can Avery make​

Answers

18 18 18 18 18 18 18 18 18 18

What is the measure of op С : 429 180° ​

Answers

Answer:

90

Step-by-step explanation:

the angles that are on the opposite side are same

LEARNED THIS IN FOURTH GRADE

I'm still in  fourth grade

my math teacher taught us this separately.

I go to School for the Highly Gifted in Grand Prairie, Texas

Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees​

Answers

Answer:

y = 98(w) + 115(18 - w)

Step-by-step explanation:

The expression that represents how much Kevin spends for classes at both schools :  (#credits at Westside)($98) + (#credits at pinewood)($115).   If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be,  if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits.   If y is the total cost of is courses, then  y = 98(w) + 115(18 - w).  Using the distributive property, this can be simplified.

Will give brainless
This is due tomorrow at 12pm

Answers

Answer:

The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.

Which ordered pair represents a solution? *

A (0,2)
B (1,3)
C (3,1)
D (26)

Answers

I think it’s A hope that helped
A is the correct answer

please answer
Step by step

Answers

Answer:

B) 20°

Step-by-step explanation:

The top half of the circle is equal to 180°...

13x + 3x + 2x = 180°

18x = 180°

x = 10°

Angle EOD is the opposite angle of 2x

2 (10) = 20°

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 21 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

the probability is 18/67

Answer:

19/67

Step-by-step explanation:

I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works

What is the solution to the equation?
19 + 13x = 32
Record your answer in the boxes
below.
00000.00
+/-
I give brainleist

Answers

Answer:

the answer is x=1

Step-by-step explanation:

minus 19 on both sides

then divide by 13 on both sides

The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure? (In other words, try and map the red figure on the blue figure).


1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.

2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.

4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.

Answers

Answer:

2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

Step-by-step explanation:

Easy way to take one of the vertices and apply the transformations

1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.

False

2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

True(-3, 3) →  (3, 3) → (3 - 10, 3 - 9) = (-7, -6)

3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.

False

4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.

False

A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?

Answers

35000*10^2/3
=116,666.66

Answer:43090

Step-by-step explanation: Pt=35000*2 3/10

Pt= 43090.0545

Solve the formula Ax + By = C for A

Answers

Ax+By=C
Ax=C-By
A=C-By/x

What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.

O 7.1
O 8.7
O 21.3
O 26.7

Answers

Answer:

8.7

Step-by-step explanation:

formula

d = sqrt(s^2 + s^2 + s^2)

d = sqrt(3*5^2)

d = sqrt(75)

d = 8.7

Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)

Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.

Answer:

hello love! your answer is 8.7cm :)

Step-by-step explanation:

i got it right on edge !

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