equation of the line through point (5,4) and perpendicular to y=−4/3x−2.

Answers

Answer 1

Answer:

y=3/4x+1/4

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.

So, to find the slope of the new line, we can use this equation:

-4/3m=-1

multiply both sides by 3/-4

m=3/4

So the slope of the new line is 3/4

Here's the equation so far:

y=3/4x+b (b is a placeholder)

we can substitute the point (5,4) into the equation, since the line is going to pass through it.

4=3/4(5)+b

4=15/4+b

1/4=b

So the line is y=3/4x+1/4

Hope this helps!


Related Questions

Plz help me and I’ll give u 5 stars

Answers

Answer:

He would drive 536 miles in 5 hours

Step-by-step explanation:

First set up your equation:

804 = 12x

Divide 804 by 12 and get 67 = x

Since per one hour you drive 67 miles, multiply 67 by 8 and get 536.

So, he drives 536 miles in 5 hours

Answer: I think 402

Step-by-step explanation: I divided 804 to 4 and I got 201 then I added 201+201= 402 and each 4 hours he went 201 miles so if you add 201 and 201 you get 402 miles. Hope it helped!! :)

Luke went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards.
Luke has had good luck at blackjack in the past, and he actually got three blackjacks with Queens in a row the last time he played. Because of this lucky run, Luke thinks that Queens are the luckiest card.
The dealer deals the first card to him. In a split second, he can see that it is a face card, but he is unsure if it is a Queen.
What is the probability of the card being a Queen, given that it is a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
a) 8%
b) 4%
c) 33%
d) 77%

Answers

Answer:

c) 33%

Step-by-step explanation:

In a  standard deck of cards, there are 52 cards total and of those 52, there are 12 face cards. One-third of those face cards are queens, (because there are 4 queens in a deck of cards, and [tex]\frac{4}{12}=\frac{1}{3}[/tex]). Therefore, there is a 33% chance that the card Luke holds is a queen.

Answer:

33%

Step-by-step explanation:

Got it right on the test.

Mark casts a shadow that is 4 feet long . At the same time , a nearby tree casts shadow that is 20 feet long . If Mark is 6 feet tall , how tall is the tree?

Answers

If Mark is 6 feet tall and his shadow is 4 feet long 6-4 = 2 so there is a 2 foot difference so the tree would be 18 feet tall

Find the PERCENT of Change.
The original cost was $50 and the new cost is $200.

Answers

amswer:
75%

explanation:

Answer:

300%

Step-by-step explanation:

To find percent change we need to use this formula:

[tex]change = \frac{Amount of change}{Original} * 100[/tex]

To find the amount of change we need to minus 50 from 200:

200 - 50 = 150

Now that we have the amount of change we can plug it in to the equation with the original amount (50):

[tex]change = \frac{150}{50} = 3 * 100 = 300[/tex]

Therefore, the percent of change is 300%.

I hope this helps!!

- Kay :)

PLEASE HURRY ILL YOU MARK BRAINLIEST

Two bugs crawl toward a pile of food. Bug A crawls 4.5 inches in 2 seconds. Bug B crawls 6 inches in 3 seconds. Which bug will be the first to reach the food?

Answers

Answer:bug b

Step-by-step explanation:

Answer:

bug a

Step-by-step explanation:

bug a: 4.5/2=2.25

bug b: 6/3=2

bug a is faster by .25 seconds

(a) Complete the table of values for the graph x + y = 6

Please help ❤️ complete the table leave the graph bit as I know how to do it

Answers

Answer:

(0,6)

(1,5)

(2,4)

(3,3)

(4,2)

Step-by-step explanation:

To solve this table first convert the equation to slope-intercept form (y=mx+b), to do this solve for y in the equation. The slope-intercept form is y=-x+6, where -1 is the slope and 6 is the y-intercept. Then from that, you can get your first point, because you know the y-intercept is 6, therefore when x equals 0 y must be 6. Next, because the slope is -1 that means the y-value decreases by 1 every time the x-value increases by 1. So to find the rest of the y-values simply subtract 1 from the previous y-value.

A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the blag, what is the
probability that the first marble will be green and the second will be red?

Answers

Answer:

number of green ÷ total number of marbles

times by

number of red ÷ total number of marbles left

so

(3/9) × (2/8) = (1/12)

What is the fifth term of the geometric sequence whose first three terms are 486, 162, and 54?

a. 2
b. 3
c. 4.5
d. 6
e. 9

Answers

Answer:

6

Step-by-step explanation:

an = ar^(n-1)

a = first term

n = nth term

r = common ratio

r = r2 / r1 = r3 / r2

The first 3 terms are :

486, 162, and 54

Hence,

a = 486

r = 162 / 486 = 1/3

Hence ;

a5 = 486(1/3)^5 - 1

a5 = 486(1/3)^4

a5 = 486(1 / 81)

a5 = 486 * 1 / 81

a5 = 486 / 81

a5 = 6

The 5th term of the geometric progression will be ; 6

Jana continues training for a triathlon that includes a 112-mile bike ride. Today, she rode her bike 12 miles in 60 minutes. Then she ran for 15 miles in 2 hours. What is Jana’s running rate in miles per hour?

Answers

Answer:

16 miles

Step-by-step explanation:

(3,4);m=-z in point slope formula

Answers

Given:

Point = (3,4)

Slope : m = -z

To find:

The point slope formula.

Solution:

Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] and having slope m, then the point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passing through the point (3,4) and having slope -z.

Putting [tex]x_1=3,y_1=4, m=-z[/tex], we get

[tex]y-4=-z(x-3)[/tex]

Therefore, the required point slope form is [tex]y-4=-z(x-3)[/tex].

Charlie likes to hike in the forest behind his house. He usually goes to the same areas in the forest, and he has decided to graph those areas on a coordinate plane. He marks the hollow stump at (−6,−4), the creek at (−6,1), and the climbing tree at (5,−4). What is the distance between the hollow stump and the creek?

Answers

Answer:

3 studs away

Step-by-step explanation:

If you graph the labels on the graph, you will count how far they are from eachother which is 3

For the equation, x-7=24, can a value be substituted for x to make that a true number sentence? How many values could be substituted for x and have a true number sentence?

Answers

we add 7 to both sides, making x=31. we can substitute 31 and make the true number sentence.
only 31 can be substituted, as it is only one x value, holding only one true value, which we found out is 31.
hope this helped!! xx

Answer:

1 variable or 31

Step-by-step explanation:

7+24=31 giving you the only variable

What is the answer for number 8 and 9 do not worry about 10

Answers

Answer:

8. 2

9. C

Hope this helps :)

In ΔSTU, u = 220 cm, ∠T=145° and ∠U=18°. Find the length of s, to the nearest 10th of a centimeter

Answers

Answer:

208.1

Step-by-step explanation:

Delta math

Solve for x using the
distributive property.
2(x - 5) = 10

Answers

Answer:

x=10

Step-by-step explanation:

2x-10=10

2x=20

x=10

Answer:

x=10

Step-by-step explanation:

2(x - 5) = 10

You would first multiply 2 by x and 5

2x-10 = 10

then you would add ten to both sides

2= 20

then you would divide 2 by 20

x=10

MrShaggy has 420 bottles of dish soap, MrWings also has 351 bottles of dish soap, MrWings gives all of his soap to MrShaggy, But then MrShaggy gives those soap to MrAmazon, if we subtract 420 by 351, how many dish soaps are in all together?

Answers

Answer: 69

Step-by-step explanation:

420 - 351  = 69

If anyone could please solve this for me and give me a simple explanation as to how I will greatly appreciate it!

Answers

Answer:

I am sorry I dont understand it

Step-by-step explanation:

I need the answer ASAP

Answers

Answer: C) Bottom Left Graph

Step-by-step explanation:

Functions can only have one y value for each x value. Each input has a single output. The only graph that satisfies this is the third graph on the bottom left.

will give brainliest-----------

Answers

Answer: C

Step-by-step explanation:

1.25 + (- 0.75) is equal to 1.25 - 0.75.

1.25 is positive while - 0.75 is negative. So 1.25 is head toward the right while - 0.75 is head toward the left.

And when you substract them, you will get 0.5.  

So the answer is C.

A bag contains colored tiles.

* 7 tiles are red

* 6 tiles are green

* 7 tiles are blue

A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?

Answers

Answer:

0.35

Step-by-step explanation:

Dexter runs around a track at 10 laps in 20 minutes. If he ran 32 laps at that rate, how long would it take him?

Answers

Answer:

64

Step-by-step explanation:

He will run 30 laps in 60 minutes because 10 times 3 and so if you divide 20 by 10 then he runs one lap in 2 minutes so 2 times 32 is 64 so it will take him that long

The steps Thomas used to solve an equation are shown.
Given: 10-2(x-1)=8
Step 1: 8(x-1)=8
Step 2: x-1=1
Step 3: x=2

Answers

Answer:

There is an error in step 2

Step-by-step explanation:

you have to multiply -2 with x and -1 first and not subtract -2 from 10 first.

Answer:

there is an error in step 2

Step-by-step explanation:

10-2(x+1)=8

8(x-1)=8

8x-8=8

   +8  +8

8x= 16

/8   /8

x=2

Millie has 2 apples, If millie picks 158 more, How many apples does millie have in all.

Answers

Answer:

160 APPLES

Step-by-step explanation: I WISH U ALL THE BEST IN EVERY OF YOURS

PLS MARK AS BRAINLIEST.

Answer:

160 apples

Step-by-step explanation:

helppp i need help yall

Answers

Answer: The answe is D

Step-by-step explanation: A and B is wrong and C was the same as D but it is wrong becuase the slope has to be neagtive

D is the answer I think sorry if wrong

PLEASE HELP !!
ILL GIVE BRAINLIEST
MATH PROBLEM!!
Find scale factor

Answers

Answer:

I think the scale factor is 2.5

Step-by-step explanation:

because 20 divided by 8 is 2.5

picture below/above..............
thanks

Answers

Answer:

a=33

hope it helps again.

Answer:

7.2" was replaced by "(72/10)". 2 more similar replacement(s)

(38/10)-(p/3-(72/10))=0

36

Simplify ——

5

38 P 36

—— - ( — - ——) = 0

10 3 5

The left denominator is : 3

The right denominator is : 5

Least Common Multiple: 15

L. Mult. • L. Num. p • 5

—————————— = —————

L.C.M 15

R. Mult. • R. Num. 36 • 3

—————————— = —————

L.C.M 15

p • 5 - (36 • 3) 5p - 108

——————— = —————

15 15

19

Simplify ——

5

19 (5p - 108)

—— - —————— = 0

5 15

The left denominator is : 5

The right denominator is : 15

L. Mult. • L. Num. 19 • 3

——————— = ————

L.C.M 15

R. Mult. • R. Num. (5p-108)

————————— = ————

L.C.M 15

19 • 3 - ((5p-108)) 165 - 5p

————————— = ——————

15 15

165 - 5p = -5 • (p - 33)

-5 • (p - 33)

—————— = 0

15

-5•(p-33)

—————— • 15 = 0 • 15

15

-5 • (p-33) = 0

-5 = 0

p-33 = 0

p = 33

can anyone help me with math

Answers

Answer:

B

Step-by-step explanation:

Hope this helps plus happy new year!

At the neighborhood grocery, 55 pounds of steak cost \$20.60$20.60. How much would it cost to buy 44 pounds of steak?

Answers

Answer:

$16.48

Step-by-step explanation:

Create a proportion where x is the cost of 44 pounds of steak:

[tex]\frac{55}{20.60}[/tex] = [tex]\frac{44}{x}[/tex]

Cross multiply and solve for x:

55x = 906.4

x = 16.48

So, the cost of 44 pounds of steak is $16.48

Name the coordinates of each star in the map of a galaxy far, far away.

Answers

Answer:

they were each far far away from each other

Step-by-step explanation:

PLEASE HELP!!!!!! 25PTS!!
Which statement explains why △ABC is congruent to △A′B′C′?

a)You can map △ABC onto △A′B′C′ by reflecting it over the y-axis and translating it 4 units down, which is a sequence of rigid motions.
b)You can map △ABC onto △A′B′C′ by reflecting it over the x-axis and translating it 7 units right, which is a sequence of rigid motions.
c) You can map △ABC onto △A′B′C′ by rotating it 90° clockwise about the origin and translating it 5 units right, which is a sequence of rigid motions.
d)You can map △ABC onto △A′B′C′ by reflecting it over line y = x and translating it 5 units right, which is a sequence of rigid motions.

Answers

Answer: B

Step-by-step explanation:

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