Find the value of k given that the line through (k, 2) and (7, 0) is perpendicular to the line y=x−285.

Answers

Answer 1

Answer:

k = 5.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, and b is the y-intercept(y when x = 0).

Perpendicular lines

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line y=x−285.

This line has slope 1, so the line we want to find the equation has slope [tex]m = -1[/tex]

Then

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

Passes through (7, 0)

This means that when [tex]x = 7, y = 0[/tex]. So

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

[tex]0 = -7 + b[/tex]

[tex]b = 7[/tex]

So

[tex]y = -x + 7[/tex]

Find the value of k given that the line through (k, 2)

This means that when [tex]x = k, y = 2[/tex]. So

[tex]y = -x + 7[/tex]

[tex]2 = -k + 7[/tex]

[tex]k = 7 - 2 = 5[/tex]

The value of k is k = 5.


Related Questions

What is .24 as a whole number?

Answers

.24 as a decimal would be 0.24 and by moving the decimal 2 places to the right would be 24. Which you would get 24% and as a whole 24 would be a whole number .

Help me please and thanks!

Answers

Answer:

1. B

2. A

Step-by-step explanation:

1. Because there are 9 zeros.

2.

4096 bytes = 1 page

(8 * 10^9) / 4096 = closet answer is A

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x - y = 3

Answers

You must put the equation into slope-intercept form (y=mx+b). To do this,subtract x from both sides to isolate y. Then,since y will be negative, divide each side by -1, resulting in y= x -3 .

Are these fractions equivalent to 4/9?

20/36
8/18
24/45
12/27

Answers

Answer:

No

Step-by-step explanation:

4/9 is not equvalent to 20/36

i givee brainlilsttt

Answers

Answer:

( 2, 1 )

Step-by-step explanation:

x remains the same and y coordinate changes signs

Answer:

(2, -1)

Step-by-step explanation:

X=going to the right=Positive

Y=going down=Negative

X=(2)

Y=(-1)

Hope this helps

Q = (2,-1)

A pitcher of Kool-Aid uses one packet of flavoring, 1 cup sugar, and 8 cups of water. 1 cup of sugar = 200 grams. If the pitcher of Kool-Aid was divided into 8 glasses, How many grams of sugar are there per glass?
A. 25
B. 50
C. 3 25/5
D. 3
E. 22

Answers

Answer:

A.

Step-by-step explanation:

200/8=25

Answer:

A. 25 grams

Step-by-step explanation:

I that answer by counting by 25s, 8 times

Hope this Helps! :)

The blue dot is the value of the number line

Answers

Answer:

4

Step-by-step explanation:

what is 2(3+6) - 4......................

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

You have to use PEMDAS, so first you do the parentheses, (3+6)=9. Then you multiply 2 times 9=18. The last step is to subtract 4, so 18-4=14

(hope this helps!)

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 4 metres.
Work out d (rounded to 2 DP) when F=0.045 Newtons.​

Answers

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!

Answers

a. he paid $1437.04 in interest
b. $2037.04 is the total amount he paid

Distributive property means

Answers

Answer:

according to

Step-by-step explanation:

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

A specific type of financial instrument pays 15% simple interest (based on the purchase value) and lasts for 1.5 years. The instrument can be bought at any price. An investor purchases the instrument for P0, and has calculated that the total value of the investment (i.e. P0 plus interest earned) will be $4,000 at maturity.

Answers

Answer:

Correct answers:

$3265$

For this, we can use the formula

A=P0(1+rt).

We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give

P0=A1+rt,

and substituting the known quantities gives

P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,

which is $3,265 to the nearest dollar.

Step-by-step explanation:

Answer:

Step-by-step explanation: For this, we can use the formula

A=P0(1+rt).

We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give

P0=A1+rt,

and substituting the known quantities gives

P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,

which is $3,265 to the nearest dollar.

Can someone solve this pls

Answers

The question doesn’t make sense bc they asked to pick the correct form but also asked how much did each mom cost ..... I’m waffling

Which pair of numbers has a sum of 100?
A
62, 48
B
52,58
с
42, 58
D
42, 48
Meeting now
50:06

Answers

Answer:

C

Step-by-step explanation:

42+58=100

C, 42 + 58 = 100 hope this help

plz anwser this plzzzzzzzzzzzzzzzzzz

Answers

Answer:1st one

Step-by-step explanation: the pointy side of the inequality sign will always lead u to draw the line to that side if u understand what i mean

Answer:

It's the first choice

Step-by-step explanation:

..................................

Which is the value of y in the solution of this system of linear equations? −10x+4y=46 6x=−18

A. y=−4
B. y=−3
C. y=4
D. y=19

Answers

It is C hope it HELPPPPPPPPPPPPPPPP U

it’s C i took a benchmark and the answer was c

Fancy Nails charges $28 for a pedicure plus $9 for each treatment. Lara's Nails charges $22 for
a pedicure plus $11 per treatment.
How many treatments need to be purchased for the cost at both places to be the same?
(Use the system of equations below) *
(1 Point)
y = 9x + 28 & y = 11x + 22

Answers

Answer:C.4

Step-by-step explanation:

Answer:

It's B.3

Step-by-step explanation:

Substitution. With the equation Y= 9x+28 and Y= 11x+22, you substitute the x-factor with '3'. Which will give you

Y= 9(3)+28         Y= 11(3)+22

Y= 27+28           Y= 33+22

Y= 55                 Y= 55

You can use the blank to remove parentheses in the process of solving the equation -10(x + 5) = 40 its a vocab pls help me

Answers

-10(x + 5) = 40

-10x - 50 = 40

      +50    +50

-10x  = 90

/-10    /-10

x  =  -9

Hope this helped! :D

HELP!! WILL GIVE BRAINLIEST

Answers

Answer:

+1,-15

Step-by-step explanation:

Answer:

-15/1, It is linear, and has a constant rate of change.

Step-by-step explanation:

Divide. Express each answer as a decimal.

5 ÷ 2 =

2 ÷ 5 =

50 ÷ 4 =

4 ÷ 50

Answers

1: 2.5 2:0.4 3:12.5 4:0.08 hope this helps
The first answer above is correct all you’re doing is dividing the numbers and breaking them down into smaller parts.

Please answer this correctly without making mistakes

Answers

Answer:

3 ft 1 in

Step-by-step explanation:

As 12 in= 1 ft,

So, 3 in+ 10 in= 1 ft 1 in

Total= 2 ft + 1ft 1 in

= 3 ft 1 in

I don’t know the answer to this question, I need help the question is in the picture!

Answers

Answer:

it is 112° .. as you will solve it like this (180-44=136) and each angle down there are equal so we will divide 136÷2 so each angle is 68° ,, finally to find x you can do it in two ways 1) (68+44) =112 or you can go with (180-68=112)

Help please explain pythagorean theorem

Answers

Answer:

In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation:[1]

{\displaystyle a^{2}+b^{2}=c^{2},}a^{2}+b^{2}=c^{2},

where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides. The theorem, whose history is the subject of much debate, is named for the Greek thinker Pythagoras, born around 570 BC.

The theorem has been proven numerous times by many different methods—possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.

The theorem can be generalized in various ways: to higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and to objects that are not triangles at all but n-dimensional solids. The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power; popular references in literature, plays, musicals, songs, stamps, and cartoons abound.-Wikipedia

Given the functions h(x) = 1/2x + 3 and j(x) = |x|, which value of x makes h(x) = j(x)?
(1) - 2
(2) 2
(3) 3
(4) -6

Answers

Answer:

(1) or A or whatever lol

Step-by-step explanation:

basically just plug the number in, set them equal to each other, and see if the equation is true...

1/2(-2)+3=|-2|

-1+3=2

2=2

1/2(2)+3=|2|

1+3=2

4=2

1/2(3)+3=|3|

1.5+3=3

4.5=3

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

-3+3=6

0=6

the only one that is a true statement is x=-2

Answer:

-2

Step-by-step explanation:

just had the same question

PLEASE HELP ME!

Determine each number by writing a proportion. Round to the nearest tenth if necessary.

What is 15% of 150?

Answers

Answer:

22.5

Step-by-step explanation:

Set up your proportion. You do 150x15=2,250. 2,250/100=22.5.

The answer is 22.5 hope it help bro

You have 12 coins of which you need to flip only 4 heads. If the probability of flipping heads is 35%, what is the probability that you get only 4 heads? Please and thank you!

Answers

Answer:

33.3333333333

Step-by-step explanation:

One coin would equal over 11 more would be 8.3333333333 so time that by 4

GoodLuck

Pls help me this is due today I’ll brainlest for the right answer

Answers

Answer:

8.67 dollars per ft squared

Step-by-step explanation:

This is a fraction equal to

130 dollars ÷ 15 ft squared

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 15

130 dollars ÷ 15

15 ft squared ÷ 15

=

8.67 dollars

1 ft squared

=

8.67 dollars

ft squared

= 8.67 dollars per ft squared

Answer:

$8.67

Step-by-step explanation:

you have the the price for 15 square ft

and you are trying to get the price for 1 square ft

just divide the original price by 15

here's the equation format

130 = 15 x

solve for x

• How can the product of two whole numbers (e.g., 48
and 19) help us find the product of two decimals with
the same digits (e.g., 0.048 and 1.9)? Write your
explanation in the text box.

Answers

Let's say we already did the work and found the result of 48*19. That result is 912.

When it comes to multiplying 0.048 and 1.9, we're going to need to do two things to transform those numbers into 48 and 19.

Move the decimal point of 0.048 exactly three spaces to the right. This is the same as multiplying by 1000. So 1000*0.048 = 48

Move the decimal point of 1.9 exactly one space to the right. This is the same as multiplying by 10. So 10*1.9 = 19

Overall, we've multiplied by 1000*10 = 10,000. This means 48*19 = 912 is 10,000 times larger compared to the result of 0.048*1.9

To fix this, we need to divide by 10,000 to get 912/(10,000) = 0.0912

Dividing by 10,000 is the same as moving the decimal point to the left four spaces. Note how 10,000 = 10^4.

I recommend using your calculator to see that 0.048*1.9 = 0.0912 which matches with the previous result we got.

Are the triangles similar? If so, what postulate or theorem proves
their similarity?

Answers

Answer:

Yes, by SSS

Step-by-step explanation:

Mrs. Harris divided up her leftover Halloween candy to her three children. If each child received 9 pieces of candy, how many pieces of candy did Mrs. Harris originally have?
I will give brainliest!

Answers

The answer is 27 I think
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