write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4

Answers

Answer 1

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D


Related Questions

It takes Martin 20 minutes to walk 5 laps around the school track what is the unit rate that Martin walk around the school track

Answers

Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

Pick two 20 points for this question please

Answers

Green triangle ,obtuse , and scalene

Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?

Please choose one of these choices.:

A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.

Answers

Answer:

A.

Step-by-step explanation:

If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it

Find the coordinates of the point 1/3 of the way from A to B

Answers

There is no photo not specific enough

The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if it’s unit place digit is 5.​

Answers

Answer:

65+56=121

Let no. be t5

reverse will be 5t

t*10 + 5 + 5*10 + t = 11t + 55 = 121 => 11t = 66 => t = 6

So no. = 65

Step-by-step explanation:

What is the quotient of 1.155 x 10^5 and 1.65 x 102 expressed in scientific
notation?

Answers

Answer: 7.00x10^2

Step-by-step explanation:

Are you asking for the quotient of (1.155 x 10^5)/(1.65 x 10^2)?

If so, divide (1.155/1.65) = 0.7000.

Then subtract 2 (the bottom exponent from [tex]10^{2}[/tex]) from the top exponent:  [tex]10^{5}[/tex] becomes [tex]10^{3}[/tex].

Combine the two:  0.7000x10^3

Move the decimal point to the right by one:  7.00x10^2 (to 3 sig figs).

7 x 10² is the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific

notation.

To find the quotient of these two numbers in scientific notation, you divide the two significant figures and then subtract the exponents of 10. The calculation would be as follows:

(1.155 x 10⁵) / (1.65 x 10²)

Dividing the significant figures:

1.155 / 1.65

= 0.7

Subtracting the exponents:

5 - 2 = 3

So, the quotient in scientific notation is approximately:

0.7 x 10³

Which can also be written as:

7 x 10²

Hence, the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific

notation is 7 x 10².

To learn more on Number system click:

https://brainly.com/question/1763119

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Please help me with this math problem!! :)

Answers

x would be 33.
33 is the smallest angle and number out of the given.

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

115°

Step-by-step explanation:

Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°

Answer:

115

Step-by-step explanation:

[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]

Tangela bought 12 cans of sodas for $5.40

Answers

Answer:

324

Step-by-step explanation:

Answer:

0.45 for one can of soda

Step-by-step explanation:

If you want to know the price for one soda all you have to do is divde.

12 ÷ 5.40 = 0.45

So, one soda can is $0.45! Have a great day friend! :D

y=-x-6 input (x) = -3 find (y) output

Answers

Here is the answer
-(-3) =+3
Because negative number multiplied by a negative number equals positive

Answer:

[tex]y=-3[/tex]

Step-by-step explanation:

[tex]y=-x-6[/tex]

Plug in the given value for x:

[tex]y=-(-3)-6[/tex]

Simplify:

[tex]y=3-6[/tex]

[tex]y=-3[/tex]

5x+2y=10

slope=________

y-intercept=_________

y=x

slope=________

y-intercept=_________

Answers

Answer:

A)  -5/2 and 5

B) 1 and 0

Step-by-step explanation:

y=mx+b is the standard form:  m is the slope and b is the y-intercept.

5x+2y=10

y = -(5/2)x + 5  [Rearrange to standard format]

slope__-5/2__  

y-intercept__5___

===========

y=x

Slope = 1

Y-intercept = 0

A diameter of a circle measures 58cm. What is the length of its radius

Answers

Answer:

29cm

Step-by-step explanation:

a radius is half of a diameter so half of 58cm  is 29cm.

i hope this helps have a good day

1/6 to 4/7 what is the ratio? Pls hurry!

Answers

Answer:

7:24

Step-by-step explanation:

Find the common denominator for both fractions: 42

1/6 x 7/7 = 7/42

4/7 x 6/6 = 24/42

7:24

find the lcm of 3, 6 and 8​

Answers

Answer:

24

Step-by-step explanation:

3x8=24

6x4=24

8x3=24

I need help on 16 17 and 18

Answers

Answer:

Step-by-step explanation:

16. 6.9, or 69/10

17. D,  12 feet

18. 6 11/12

An infant drinks about 30 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks

Answers

Answer:

840 Ounces

Step-by-step explanation:

4 weeks has 28 days. { 4 * 7 = 28 }

because an infant eats about 30 ounces of milk per day.

So 30 * 28 = 840 ounces

The baby drank about 840 ounces in 4 weeks.

The number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.

Given that, an infant drinks about 30 ounces of milk per day.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here, number of days in 4 weeks = 4×7

= 28 days

Number of ounces of milk drank by infant

= 28×30

= 840 ounces

We know that, 32 ounces = 1 quarts

So, 840 ounces = 840/32

= 26.25 quarts

Therefore, the number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

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help me plz.......................

Answers

Answer:

B

Step-by-step explanation:

-16x - 32

We can factor out -16 from the -16 and -32 which leads us to this equation:

-16 (x + 2)

Meaning B would be the correct answer

Answer: B. -16(x + 2)

Step-by-step explanation:

The GCF, or greatest common factor, of -16 and -32, is -16.

Thus, distribute out -16 to get -16(x + 2)

Hope it helps :) and let me know if you want me to elaborate.

What is the value of x in this triangle?

Answers

sin x = 32/58
x = 33.5 (cor to 3 sig fig)

3. At lunchtime, Rolly stayed in the library for hour. After school, he went back to the library to do research for hour. How much longer did he stay in the library after school than at lunchtime?



Solution please ​

Answers

Answer:

ask your momma or dad bozo!!!!!!

Step-by-step explanation:

Show all the calculation if it is a numerical question.

List negative numbers that are between -103 and -130​

Answers

Answer:

-104, -105, -106, -107, .... -123, -124, -125, -127, -129

Answer:

-104,-105,-106,-107,-108,-109,-110,-111,-112,-113,-114,-115,-116,-117,-118,-119,-120,-121,-122,-123,-124,-125,-126 ,-127,-128 -129

The ages of two people add up to 25 and their ratio is 2: 3. What is the age of the younger person?

Answers

Answer:

10

Step-by-step explanation:

2 + 3 = 5

25/5 = 5

2 · 5 = 10

3 · 5 = 15

Lori decied to save up for a trip.She put $1120 of her saving into a bank account. If she earns 2% interest how much will have alotgether after



help pls

Answers

Answer:

$1,344 is her total.

Step-by-step explanation:

0.2 x 1120 = 240 + 1120

PLS HELP!!!!!
I WILL PUT BRAINLIEST!!!!!!

Which of these graphs represents a function?

Answers

Answer:

X

Step-by-step explanation:

Need help with this ASAP I’ll mark brainliest

Answers

Answer:

B' (3, 1 )

Step-by-step explanation:

Given

A (- 1, 3 ) → A' (- 3, 7 )

x- coordinate goes from - 1 → - 3 , that is - 2

y- coordinate goes from 3 → 7 , that is + 4

Translation rule is (x, y ) → (x - 2, y + 4 ) , then

B (5, - 3 ) → B' (5 - 2, - 3 + 4 ) → B' (3, - 1 )

1.1x10^5 in standard notation

Answers

Answer:

110000

Step-by-step explanation:

first, expand 10^5, which is 100000

use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000

Rickets Vitamin D is essential for strong, healthy bones. Our bodies produce vitamin D naturally when sunlight falls upon the skin, or it can be taken as a dietary supplement. Although the bone disease rickets was largely eliminated in England during the 1950s, some people there are concerned that this generation of children is at increased risk because they are more likely to watch TV or play computer games than spend time outdoors. Recent research indicated that about 20% of British children are deficient in vitamin D. Suppose doctors test a group of elementary school children.
a) What’s the probability that the first vitamin D– deficient
child is the eighth one tested?
b) What’s the probability that the first 10 children tested
are all okay?
c) How many kids do they expect to test before finding
one who has this vitamin deficiency?
d) They will test 50 students at the third-grade level. Find
the mean and standard deviation of the number who
may be deficient in vitamin D.
e) If they test 320 children at this school, what’s the
probability that no more than 50 of them have the vita- min deficiency?

Answers

Answer:

Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.

I’m pretty sure is (c)

Line c passes through points (4, 8) and (1, 13). Line d is parallel to line c. What is the slope of line d?

Answers

If the lines are truly parallel, then they should have the same slope. So, the slope should be 1.66667 (Rounded: 1.7)

so i just added a similar question but the explanation was complicated so me and my mates need help with this one as well

Answers

Answer:

Y = -X + 9

Step-by-step explanation:

yeah-ya....... right?

Please help me please help mee

Answers

I’ve attached my work, hope it helps!

An item is on sale for 30% What would the new cost be if the item was originally $275

Answers

Answer:

$192.5

Step-by-step explanation:

$275÷10=27.5

27.5×3=82.5

275-82.5=192.5

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