Find the value of r so that the line through (1,2) and (-5,r) has a slope of 1/2

Answers

Answer 1

Answer:

The value of r is -1

Step-by-step explanation:

The slope of a Line

Suppose a 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]

The points are (1,2) and (-5,r), and the slope is 1/2, thus

[tex]\displaystyle \frac{r-2}{-5-1}=\frac{1}{2}[/tex]

Operating:

[tex]\displaystyle \frac{r-2}{-6}=\frac{1}{2}[/tex]

Multiplying by -6:

[tex]2(r-2)=-6[/tex]

Dividing by 2:

[tex]r-2=-3[/tex]

Add 2:

[tex]r=-3+2=-1[/tex]

[tex]\boxed{r=-1}[/tex]

The value of r is -1


Related Questions

Find the area of this sector

Answers

Answer:

1492.885

Step-by-step explanation:

the whole circle has 360°  and an area of pi*r² =pi*24²=pi* 576

for 360°  and A=pi*576

for 360-63= 297°  and A= (297*576*pi) / 360 = 1,492.885 m²

which is the correct? help me please​

Answers

Answer:

The answer is B. AAA

Step-by-step explanation:

This (AAA) is one of the three ways to test that two triangles are similar . ... If all three angles in one triangle are the same as the corresponding angles in the other, then the triangles are similar.

Answer:

B.

Step-by-step explanation:

What is the line equation for the line of reflection

Answers

D: Y=2

It makes sense

Answer:

y=2

Step-by-step explanation:

What are the solutions to the equation -2t+10t=0

Answers

Answer: No solutions

Step-by-step explanation:

What is the slope of this line?

Answers

Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

Which has a quotient of 60?

A. 480÷80
B. 4,800÷8
C. 4,800÷80
D. 4,800÷800

Answers

Answer:

c 4800/80 =60

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

divide 60 by the 8 and see which it gets

solve:
-3 ( -4x 1 ) = 13

Answers

Answer:

4/3            (assuming the (-4x 1) is (-4x+1))

Step-by-step explanation:

-3(-4x+1)=13

12x-3=13

12x=16

x=4/3

Answer:

x=4/3

Step-by-step explanation:

-3(-4x1)=13<=>12x-3=13 <=>12x=16 <=>x=4/3

What is the surface area of a cuboid of sides 2 cm, 3 cm, and 5 cm?

Answers

Answer:

the answer is 19cm thank you

Answer:100cm

Step-by-step explanation:

10+4=14

8+10=18

14x2=28

18x4=72

28+72

The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 110 pints of a mixture that is 55% pure fruit juice?

Answers

Answer:

The Royal Fruit Company produces two types of fruit drinks. The first type is 70%

pure fruit juice, and the second type is 95%

pure fruit juice. The company is attempting to produce a fruit drink that contains 75%

pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90

pints of a mixture that is 75%

pure fruit juice?

Step-by-step explanation:

To make the desired drink we need to add 30 pints of  95% of the drink, and  80 pints of 40% of the drink.

What is volume?

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90% pure fruit juice.

Let,

a = Volume of 40% of drink

b = volume of 95% of drink

Since the two existing types of drink must be used to make 110 pints of a mixture that is 55% pure fruit juice

a + b = 110

0.4a + 0.95 b = 110 * 0.55

Comparing these equations we will get,

a = 80

and b = 30

Therefore, To make the desired drink we need to add 30 pints of  95% of the drink, and  80 pints of 40% of the drink.

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Write this statement as a conditional statement in the form “if p, then q.”

Two angles are supplementary angles if the sum of their angle measures is equal to 180 degrees.

Answers

Answer:

if two angles are supplementary angles, then the sum of their angle measures is equal to 180°.

Step-by-step explanation:

the if p statement is called the hypothesis of the conditional statement.

the then q statement of the conditional statement is called the conclusion.


Rotation of 360° centered at the origin. yes or no
Rotation of 360°centered at (2,3). yes or no
Rotation of 90° centered at (3,5). yes or no
Rotation of 45° centered at (2,3). yes or no
Rotation of 225° centered at the origin. yes or no
Rotation of 270° centered at (2,3). yes or no
Rotation of 181° centered at (2,3). yes or no

Answers

Answer:

YesnoyesyesnonoYes

Step-by-step explanation:

Its in the Chrome Yowill find it there but Thank you

WHOEVER HELPS ME WILL GET A BRAINLIEST!!

Answers

Answer:

question 9 is 8/3 or 2 2/3 question 10 is $18.39

Step-by-step explanation:

WILL GIVE EXTRA POINTS
Assignment name: Segment Addition ​

Answers

Answer:

the measure of AB equals the measure of BC

2x+1=3x-4

4+1=3x-2x

5=x

BC=3x-4=3*5-4=15-4=11

AB=2x+1=2*5+1=10+1=11

AC=AB+BC=11+11=22

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

2x + 5 + 17 = 3x + 4

2x + 22 = 3x + 4

2x + 22 - 22 = 3x + 4 - 22

2x = 3x - 18

2x - 3x = 3x - 18 - 3x

-x = -18

-x / -1 = -18 / -1

x = 18

Hope this helps!

PLEASE HELP I'M IN A HURRY

Answers

Jansnsnsnwkeksnsznznsnwns

Answer:

The answer is b (1,11)

Step-by-step explanation:

You can graph the lines and find the solution that way (which is where the lines intersect)

or you can algebraically solve.

To check this, you can basically plug in the x and y values for the equation and see if they match with what the equation equals..

Example:

10x + 3y = 43

-9x - y = -20

10(1) + 3(11) --> 10 + 33 = 43.. 43 equals 43

-9(1) - (11) = -9 - 111 = -20.. -20 equals -20

(the values match up so it's a solution)

given the polynomial function below find F(-4) f(x)=2x^ 2 -x + 9

Answers

Answer:

45

Step-by-step explanation:

The value of f(-4) in the polynomial functions f(x) = 2x² - x + 9 is 45

How to evaluate the function?

The function is given as:

f(x) = 2x² - x + 9

Substitute -4 for x

f(-4) = 2(-4)² - (-4) + 9

Evaluate the exponents

f(-4) = 2(16) - (-4) + 9

Evaluate the product

f(-4) = 32 - (-4) + 9

Evaluate the sum and the difference

f(-4) = 45

Hence, the value of f(-4) is 45

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What is the equation of the line that passes through the point (4, - 7) and has a slope of ? -1/2

Answers

Answer:

y= -1/2x -5

Step-by-step explanation:

in slope intercept form

Answer:

y=-1/2x-5

Step-by-step explanation:

Hope it helps!

Can you solve ?
|2x-9|=7
What is the answer please

Answers

Split it into 2 equations
2x-9 = 7
2x = 16
x = 8
And another equation
2x-9 = -7
2x = 2
x = 1
The answer is x =1, x= 8

A recipe that serves 8 people requires 4 1/2 cups of flour.
How many servings are in one recipe?

Answers

8 serving of that recipe

Answer:

1

Step-by-step explanation:

trust me

Evaculate this expression : | -8 |​

Answers

Answer:

Positive 8

Step-by-step explanation:

l -8 l has to be the opposite so its going to be 8! Pls mark brainiest!!

QUESTION - What is -2(3x + 12y - 17x - 16y + 4) simplified? ANSWERS A. -40x + 8y + 2 B. 28x + 8y + 2 C. 28x + 6y + 2 D. -28x - 8y + 2 -------------------------- Time remaining - 1 hour and 38 minute -------------------------- Please help me! Thank you!

Answers

Answer:

28 + 8y - 8

Step-by-step explanation:

According to the problem;

-2(3x + 12y - 17x - 16y + 4)

Collecting like terms;

-2(3x -17x + 12y - 16y + 4)

-2(-14x - 4y + 4)

28 + 8y - 8

None of the options matches the correct answer.

Katie ordered candles that cost $3 each from a website. She was charged a flat shipping fee of $6 and no sales tax. If she spent a total of $54, which equation can be used to find c, the number of candles she ordered?

Answers

Answer:

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Step-by-step explanation:

A. 3c = 54

B. 6c = 54

C. 3c + 6 = 54

D. 3c – 6 = 54

As given

Katie ordered candles that cost $3 each from a website.

She was charged a flat shipping fee of $6 and no sales tax.

If she spent a total of $54,

c represented the number of candles .

Equation becomes

Total cost = Cost per candle + Flat shipping fee

54 =  3 × c + 6

54 = 3c + 6

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Evaluate the expression: 3d - 4 where d = 1.2

Answers

Answer:

-0.4

Step-by-step explanation:

3d-4 where d=1.2

substitute 1.2 for d and solve

3(1.2)-4

3.6-4= -0.4

-0.4 is the value of expression 3d-4 when d is 1.2

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 3d-4

Three times of d minus four

d is the variable in the expression and minus is the operator

We need to find the value of expression when d is 1.2

Substitute d =1.2 in the expression

3(1.2)-4

Three times of one point two minus four

3.6-4

-0.4

Hence, -0.4 is the value of expression 3d-4 when d is 1.2

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A graph shows time (minutes), numbered 2 to 18 on the horizontal axis (t), and altitude in feet, numbered 30 to 270 on the vertical axis (h). A solid circle appears at point (0, 210) and point (14, 0), and a line connects the 2 points.
What is the domain of the function represented in the graph?

{t| 0 ≤ t ≤ 14}
{h| 0 ≤ h ≤ 210}
{t | 0 ≤ t ≤ 210}
{h | 0 ≤ h ≤ 14}

Answers

Answer:

its A

Step-by-step explanation:

Carl wheezer told me

The domain of the function will be {t| 0 ≤ t ≤ 14}. so the correct option is A.

Since we know that the domain of a function refers to the set of possible input values or the values that the independent variable can take.

Thus, the independent variable is represented by the horizontal axis, which is time (t) in minutes.

We are given that the solid circle appears at point (0, 210) and point (14, 0), and a line connects these two points.

The x-coordinate of the first point is 0, and the x-coordinate of the second point is 14. So, the time values that correspond to these points are 0 minutes and 14 minutes, respectively.

We can see that the function is defined from time 0 to time 14.

Therefore, the correct answer is:

{t | 0 ≤ t ≤ 14}

This means that the domain of the function is the set of all possible values of t such that t is greater than or equal to 0 and less than or equal to 14.

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Yesenia needs to rent storage space for some of her belongings. She paid a one-time original storage fee
of $45.00, and now pays $18.00 each month (m). Which answer choice shows an expression that
represents the total amount Yesenia has paid after a certain number of months (m)?

Answers

Answer:

its 67

Step-by-step explanation:

help plz 20 brainlist

Answers

Ohhh its b i promise i got it right

Please help me solve these!!

Answers

Answer:

18i, -7-i, -6+18i

Step-by-step explanation:

1. √-324

first take out the negative as √-1=i

√-324= i√324

324 =2*162

324=2*2*81

324=2*2*9*9

i√324=i√2*2*9*9= i* 2*9= 18i

3.

-4+7i-3-8i combine like terms

-4-3 -8i+7i = -7-i

5.

(1+5i)(4-2i) distribute

1*4 -1*2i +5i*4 -5i*(-2i) multiply

4 -2i +20i +10i² but i²= -1 so

4 -2i +20i -10 combine like terms

-6 +18i

what is angle dar in circle a

Answers

Answer:

end of course geometry - Virginia Department of Educationwww.doe.virginia.gov › sol › test10_eoc_geometry

PDF

angle B. A. Triangle A is similar to triangle B. Line AB is perpendicular to line CD. ... 27 What is in circle A ? A 17°. B 34°. C 56°. D 68°. B. R. D. A. 34

The angle measure of m∠DAR is 68°.

What is an Inscribed Angle?

An inscribed angle is the angle that an arc at any point on the circle subtends.

Given information:

A circle is centered at 'A'.

m∠RBD = 34°.

Arc RD is given.

To find the angle measure m∠DAR:

m∠DAR is inscribed in a circle.

m∠DAR can be described as m∠DAR  = m∠RBD

m∠DAR = 2 x 34°.

m∠DAR = 68°.

Therefore, m∠DAR = 68°.

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Find the units of displacement (translation) of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Step by step answer please.

Answers

Answer:

The rule of the translation will be:

(x, y) → (x+3, y+5)

Step-by-step explanation:

Translation of an object is basically termed as "sliding" the original. If the image is moved right by the 'c' units, the 'c' unit(s) are added to the x-coordinate and if the image is moved left by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.

And If the image is moved up by the 'c' units, the 'c' unit(s) are added to the y-coordinate and if the image is moved down by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.

As the point is (4, 2)

The image of the point is (7, 7)

As the coordinates of the image point indicate that 3 units are added to the x-coordinate of the original point, and 5 units are added to the ý-coordinate.

Hence, the image will be move 3 units to the right and 5 units up.

Therefore, the rule of the translation will be:

(x, y)  →  (x+3, y+5)

as

(4, 2) →  (x+3, y+5) = (4+3, 2+5) = (7, 7)

add 6 and 3, then multiply b by the result

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Which of these graphs is a function?
PLEASE HELP
15 POINTS OR A BRAINLIST

Answers

A
A makes a line, B doesn’t

Have a great day!

Answer:

Graph B

Step-by-step explanation:

when identifying a function the point cannot fall on the same vertical line

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