Find k so that the line through (4, -3) and (k.1) is
a. parallel to 3x + 5y = 10,
b. perpendicular to 4x - 3y = - 1
a. k=

Answers

Answer 1

Answer:

  a.  k = -8/3 = -2 2/3

  b.  k = 32/5 = 6.4

Step-by-step explanation:

You want to find the values of k that place the point (k, 1) on the line through the point (4, -3) when that line is (a) parallel to 3x +5y = 10, and (b) perpendicular to 3x +5y = 10.

a. Parallel

The equation of the parallel line will have the same x- and y-coefficients, but will have a constant that make the equation true at the point (4, -3).

  3x +5y = 3(4) +5(-3) = 12 -15 = -3

The equation of the parallel line is

  3x +5y = -3

When y=1, the value of k is ...

  3k +5(1) = -3

  3k = -8

  k = -8/3 = -2 2/3 . . . . . . on line parallel to 3x+5y=10

b. Perpendicular

The equation of the perpendicular line will have swapped x- and y-coefficients, with one of them negated. The constant will be chosen to make the equation true at the point (4, -3).

  5x -3y = 5(4) -3(-3) = 20 +9 = 29

The equation of the perpendicular line is

  5x -3y = 29

When y=1, the value of k is ...

  5k -3(1) = 29

  5k = 32

  k = 32/5 = 6.4 . . . . . . on th eline perpendicular to 3x+5y=10

Find K So That The Line Through (4, -3) And (k.1) Isa. Parallel To 3x + 5y = 10,b. Perpendicular To 4x

Related Questions

A store sells 12 cans of soup for ​$21. How much would it cost you to buy 5 cans of ​soup?

Answers

Answer:

8.75$

Step-by-step explanation:

if 12 cans cost $21

1 can cost $21÷12=1.75$

5 cans = 1.75$ ×5

Pls Help will give brainliest

2) The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given determine a unique triangle (one triangle), determine more than one triangle, or cannot make a triangle. Explain how you know this.

a) 3 in., 6 in., 10 in.





b) 40°, 65°, 75

Answers

The answer is a hope this helps :) :)

Please help take a look at this photo will give Brainly

Answers

Answer:

60 degrees

Step-by-step explanation:

On the diagram, we can see that the two angles have a dash on each of them. This means that they have the same measure.

So, if angle ABD is 60 degrees, then angle DBC would also be 60 degrees.

I hope this helps!

Emily wants to find out if the carpool line around her school causes too much traffic on neighborhood roads. Which is a valid sample for her survey?

Answers

Answer:

25 families living near the school

Step-by-step explanation:

Answer:

25 families living near the school :D

Step-by-step explanation:

Find the surface area of a triangle prisms

Answers

Answer: 544 sq. inch

Step-by-step explanation:

12 x 8 x 0.5 x 2 + 10 x 14 x 2 + 12 x 14 = 544

Surface of triangle = 98
x 2
= 196

10x14= 140
x3
= 420

420 + 196 = 616 inches

If a whole pan of brownies is being sold for $16, how much it cost to purchase 3/4
of the pan?

Answers

Answer:

$12

Step-by-step explanation:

We have to do this operation:

(16/4) x 3 = 4 x 3 = $12

Answer:

It will cost $12 to purchase 3/4 of the pan of brownies

Step-by-step explanation:

3/4 of 16 is equal to 12.

Hope this helps! Pls mark brainliest

2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. 978

Answers

Answer:

a. N=11

D=12

b. N=1

D=7512

c. N=12

D=0

d. N= 1

D=978

Please hurry! Timed! What is the scale factor in the dilation?
A. 2/5
B. 1/2
C. 2
D. 2 1/2

Answers

C. 2

Hope this helps!

ALGEBRA

tell whether the given value is a solution of the equation. (yes or no)

1. x+16=20;x+4

2. p-4+28;p+32

3. 4w+44;w=10

4. y/6= 6;y=24

Answers

Step-by-step explanation:

1. yes 4+16 = 20

2. yes 32 - 4 = 28

3. yes 4(10) = 40

4. no 24/6 = 4

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

1.yes

2.yes

3.yes

4.no

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP HELP HELP HELP - A right triangle has a leg length of 21 inches and a hypotenuse length of 29 inches. What is the length of the other leg? *

Answers

Answer:

[tex]20[/tex]

Step-by-step-Explanation:

Remember, the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]21^{2} + b^{2}=29^{2}[/tex]

[tex]29^{2} -21^{2} =400[/tex]

sq rt of [tex]400=20[/tex]

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. Assuming that the population standard deviation is 3217kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance

Answers

Answer:

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Step-by-step explanation:

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.

This means that the null hypothesis is:

[tex]H_0: \mu = 10941[/tex]

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

This means that the alternate hypothesis is:

[tex]H_a: \mu > 10941[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

10941 is tested at the null hypothesis:

This means that [tex]\mu = 10941[/tex]

To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:

This means that [tex]n = 115, X = 11425, \sigma = 3217[/tex]

Value of the z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}[/tex]

[tex]z = 1.61[/tex]

Pvalue of the test:

Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.

Looking at the z-table, z = 1.61 has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Approximately how many gallons are in
7 liters? (1 L -0.26 gal.)
A 1.8 gal
C 7.3 gal
B 6.7 gal
D 46 gal

Answers

Answer:

A po ang answer kahit icompute pa po.

Step-by-step explanation:

hope it helps you po!

Solve for f(-3)

f(x)=5-x

f(-3)= ?
pls helpppp

Answers

f(-3) = 8

Plug -3 into x and just solve it.

Shshshehehehhshehesjhshshahagaga

Answers

shaheoplebqlalcjsoqldk

A bottle contains 750mL of fruit punch with a concentration of 50% pure fruit juice. Johan
drinks 100mL of the punch and then refills the bottle with an equal amount of a cheaper
brand of punch. If the concentration of juice in the bottle is now reduce to 48%, what was
the concentration in the punch that Johan added?​

Answers

Answer:

The juice concentration in the punch that Johan added was 35%.

Step-by-step explanation:

Since a bottle contains 750mL of fruit punch with a concentration of 50% pure fruit juice, and Johan drinks 100mL of the punch and then refills the bottle with an equal amount of a cheaper brand of punch, if the concentration of juice in the bottle is now reduced to 48%, to determine what was the concentration in the punch that Johan added, the following calculation must be performed:

750 = 100

650 = X

650 x 100/750 = X

65000/750 = X

86,666 = X

86.666 x 0.5 + 13.333 x 0.4 = 0.486662

86.666 x 0.5 + 13.333 x 0.39 = 0.4853287

86.666 x 0.5 + 13.333 x 0.35 = 0.4799955

Thus, the juice concentration in the punch that Johan added was 35%.

Given the frequency table what percentage of the students in grade 11-12 like rock music round to the nearest whole percent

Rap rock country row total
Grades 9-10. 40. 30. 55. 125
Grades 11-12. 60. 25. 35. 120
Column totals. 100. 55. 90. 245

A 10%
B. 21%
C. 25%
D 45%

Answers

9514 1404 393

Answer:

  B.  21%

Step-by-step explanation:

The number of students in grade 11-12 is given in the total column: 120.

The number of those who like rock music is given in the second column: 25.

Then the percentage in 11-12 grade who like rock music is ...

  25/120 × 100% ≈ 20.833% ≈ 21%

Rewrite 2/5 and 4/11 so that they have a common denominator

Answers

Answer:

22/55 and 20/55

Step-by-step explanation:

multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55

Please help me my head hurt

Answers

The answer would be A because it’s the kilometers times the amount of days to equal 30

Answer:

my head hurts also

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

ANSWER: y=4/3x-7

Reasoning: slope is 4/3 (change in y over change in x)
The y intercept is a -7
Then you just fill in the equation

how did snidely spellbinder write a four latter word that begins and ends with e answers

Answers

Answer:

He wrote the word "ease"

least common denominator for these two rational expressions, 3/y and
1/7y

Answers

Answer:

least common denominator = 7y

Step-by-step explanation:

3/y = 21/7y

1/7y and 21/7y have a least common denominator of 7y.

a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.

Answers

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

What is distance?

"It is the length of the line joining the two points."

Angle properties:

In any triangle,

the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

Learn more about angle here:

https://brainly.com/question/8729556

#SPJ2

HELP PLEASEEEEEE IM BEGGING YOUUU (question): Linda is making a line plot of the data below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12

Which line plot represents the data correctly?

A.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 12.5 has 1 dot. 14.125 has 1 dot.
B.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 2 dots. 12 has 1 dot. 12.5 has 1 dot. 14.125 has 1 dot.
C.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 12.5 has 1 dot. 13.75 has 1 dot.
D.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 14.125 has 1 dot. ( PLEASE ANSWER ASAP) (i already made this question once pls dont get it wrong again) ill give 60 if correct!!

Answers

The answer is D ...........

Answer:

the answer is Actually A believe me i did the test

Step-by-step explanation:

Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If C represents the cost of each baseball, which of the following statements are true?

Select all that apply

The value of c can be found using the formula 30+837

The value of c can be found using the formula C/8.37 = 3

Each baseball cost $25.11

Each boseball cost $279

Answers

The value of c can be found using the formula 3c = 8.37
The value of c can be found using the formula c/8.37=3
Each baseball cost $2.79

Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula  .The value of c can be foun

Step-by-step explanation:

Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).

Answers

Answer:

x = 6, x = -4

Step-by-step explanation:

For questions 1 - 4, which right triangle congruence theorem can be used to show that the two triangles
are congruent?
8
1.
2.
܂
A
B
3.
܂
4.
A

Answers

Step-by-step explanation:

1. SAS

2. HL

3. AAS

4 AAS

PLEASE HELP !!!!!
An angle measures 52° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

64° and 116°

Step-by-step explanation:

2x + 52° = 180°

2x = 128°

x = 64°

Mrs. Sleet said he was skinny as a rail and it looked like he hadn’t been ___
right. She gave
him his first pair of _____

please fill in the blank this is from buddy not buddy chapter 11 :)
please help

Answers

Answer:

fed,  slippers

Step-by-step explanation:

Suppose that a random sample of ​twenty-year-old men is selected from a population and that these​ men's height and weight are recorded. A regression of weight on height yields ​, where Weight is measured in pounds and Height is measured in inches. What is the​ regressions weight prediction for someone who is inches​ tall

Answers

Answer:

Hello your question is incomplete attached below is the complete question

answer : 192.15 pounds

Step-by-step explanation:

Given :

weight =  - 99.41 + 3.94*Height

R^2 = 0.81

SER = 10.2

Determine the regression weight prediction

Height of man = 74 inches

Hence : weight = - 99.41 + 3.94 * 74 = 192.15

therefore the regression weight prediction = 192.15 pounds

Find the polar coordinates of the point. Then, express the angle in degrees and again in radians, using the smallest possible positive angle.
(2√3,-2)
The polar coordinates of the point are

Answers

Answer:

(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

Step-by-step explanation:

Given the rectangular coordinate

(2√3,-2)

x = 2√3

y = 2

For polar coordinate;

x =r cos theta

y = rsin theta

r = √x²+y²

r = √(2√3)²+(-2)²

r = √4(3) + 4

r = √12+4

r = 4

theta = arctan(y/x)

theta = arctan(-2/2√3)

theta = arctan(-1/√3)

theta = -30

theta = 180 - 30

theta = 150degrees

x = 4cos 150

y = 4sin150

The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

The polar coordinates of the point are

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