Find the equation of the line that is perpendicular to 4 x + 3 y = 5 and goes through the point (3, –3)

Answers

Answer 1

Step-by-step explanation:

the line equation

y = ax + b

gives us slope (a) and y-interception (b).

4x + 3y = 5

3y = -4x + 5

y = -4/3 × x + 5/3

the slope of the original line is therefore -4/3.

a perpendicular slope flips x and y upside-down and flips the sign.

so, the perpendicular slope of -4/3 is 3/4.

the desired line looks like

y = 3/4 × x + b

b we get by using the given point and its coordinates :

-3 = 3/4 × 3 + b = 9/4 + b

-12/4 = 9/4 + b

b = -21/4

so our full line equation is

y = 3/4 × x - 21/4

or

4y = 3x - 21

-3x + 4y = -21


Related Questions

- Critique Reasoning Tanya recorded the ages
of 10 local babysitters: 20, 16, 18, 13, 14, 13,
12, 16, 22, 18. She says that the box plot below
shows the distribution of ages. What error did
she make?
Babysitters
HHHHHH
12
14
10
16
18
20
22
24
Age in Years

Answers

The error made by Tnaya in constructing the box plot is the first quartile and third quartile depicited is wrong.

What is a box plot?

A box plot is used to study the distribution and level of a set of data. The box plot consists of two lines known as whiskers and a box. The first whisker represents the minimum value and the last whisker represents the maximum value.

On the box, the first line to the left represents the first quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the third quartile. 75% of the scores represents the third quartile.

For the data given, the:

Minimum value = 12 Maximum value = 22Median = 16 First quartile  = 11/4 = 2.75 = 13 Third quartile = 3/4 x 11 = 8.25 = 23

To learn more about median, please check: https://brainly.com/question/20434777

Given the equation, what is the center and radius of the circle?
(X-2) ^2+ (Y+11)^2=100

Answers

Answer:

Center: (2, -11)

Radius: 10

Step-by-step explanation:

(x - 2)² + (y + 11)² = 100

(x - h)² + (y - k)² = r²

-------------------------------

x - 2 = 0

  +2   +2

x = 2

------------

y + 11 = 0

   -11    -11

y = -11

------------------------------

r² = 100

r = √100

r = 10

----------------------------

Center: (h, k)

Radius: r

-------------------------------

Center: (2, -11)

Radius: 10

I hope this helps!

We are given the equation of circle (x - 2)² + (y + 11)² = 100 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-2)^{2}+(y+11)^{2}=100}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf (x-2)^{2}+\{y-(-11)\}^{2}={10}^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

Centre = (2, -11)Radius = 10 units

Which of the following below is the equation of the quadratic function f(x) with x-intercepts of 0 and -3 for which f(-1)=-2. A. f(x)=-x(x+3), B. f(x)=x(x+3), C. f(x)= x+(x+3), D. f(x)= x(x-3)

Answers

✿————✦————✿

Answer: D

✿————✦————✿

how do i solve and graph -5x+2y=10

Answers

Answer:

at first write the equation in correct order y=Mx+b. 2y=5x=10

y= 5x/2+5.

Step-by-step explanation:

the slope is 5/2. as we know slope is rise over run. so you go up 5 units and go right 2 unit.

the graph picture is added below click on the PNG. hope it helps. have a great day.

700 mL of Tata cooking oil costs $189. Xtra cooking oil sells for $300 per litre. Which is the better buy? ​

Answers

Answer:

Tata oil

Step-by-step explanation:

0.7 L of Tata cooking oil = $1891 L of Xtra cooking oil = $300

Per 0.1 L

Tata oil = 189/7 = $27Xtra oil = 300/10 = $30

Tata oil is the better buy

Find the domain and range of the function shown.

Please help I’ll mark brainliest thank you.

Answers

Answer:

A

Step-by-step explanation:

Remember domain is input and range is output.

Input: All real numbers

Output: [0, infinity)

A

.
If two complementary angles are placed side by side, they form a(n)
angle. Side-by-side angles that share a ray and a vertex are called
angles.
of comnlementary angles you can solve for the

Answers

Answer:

Two angles whose sides are opposite rays are called vertical angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called adjacent angles.

Further explanation

Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.  

Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.

Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines.  The example is shown in the picture below.

Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent.  ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.

Step-by-step explanation:

Jenny bought a pair of pants for $19.99 and two shirts for $7.50 each. If she gave the cashier $40.00, how much change did she receive?

Answers

19.99 + 15= 34.99

40-34.99 = 12.51

Jenny received $5.01 change.

HELLLPP ME PLEASSEEE!!!!!

Consider the two circles shown.


To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about its center by a scale factor of s.
What are the values of t and s?
Show me:
(t) What is the horizontal distance between the center of circle P to the center of circle Q?
(s) What is the scale factor dilating from circle P to circle Q?

Answers

The similar circles P and Q can be made equal by dilation and translation

The horizontal distance between the center of circles P and Q is 11.70 unitsThe scale factor of dilation from circle P to Q is 2.5

The horizontal distance between their centers?

From the figure, we have the centers to be:

P = (-5,4)

Q = (6,8)

The distance is then calculated using:

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have:

d = √(6 + 5)^2 + (8 - 4)^2

Evaluate the sum

d = √137

Evaluate the root

d = 11.70

Hence, the horizontal distance between the center of circles P and Q is 11.70 units

The scale factor of dilation from circle P to Q

We have their radius to be:

P = 2

Q = 5

Divide the radius of Q by P to determine the scale factor (k)

k = Q/P

k = 5/2

k = 2.5

Hence, the scale factor of dilation from circle P to Q is 2.5

Read more about dilation at:

https://brainly.com/question/3457976

A cake for 6 people requires 4 eggs.How many eggs are needed to make a cake big enough for 9 people​

Answers

Answer:

6

Step-by-step explanation:

Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9

(4÷6) x9

Jack is 3 times as old as Lacy. 9 years ago the sum of their ages was 22 . How old are they now?

Answers

Answer:

Jack is 31

Lacy is 10

Step-by-step explanation:

x - 9 = 22

since jack is 3 times as old as lacy,

the formula is

3x - 9 = 22

3x = 31

x = 10.3

So Jack is 31

And Lacy is 10

To prove this, subract 9 (years) from both ages

It will give you an approximate sum of 22 years for both their ages, as the question states

Since Lacy is a little over 10 years old, Jack is 31 instead of 30

The formula was taken from someone elses answer so sorry if it`s wrong

a dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^2 + x = 30
a. write a binomial that represents the width of the land
b. find the area of the land when the length of the dentists' office is 20 meters

Answers

The answer is like b that what I got

Solve for the b 4 ( b + 5 )- 2b = 100

Answers

4 ( b + 5 )- 2b = 100

____________________

B  =  40

Answer:

[tex]\tt b=40[/tex]

Step-by-step explanation:

[tex]\tt 4 ( b + 5 )- 2b = 100[/tex]

[tex]\bf Expand\; (Apply\; Distributions\; Law) :-[/tex]

[tex]\tt 2b+20=100[/tex]

[tex]\tt 2b+20-20=100-20\;\; (Subtract \;20\; from\; both \;sides)[/tex]

[tex]\tt 2b=80[/tex]  [tex]\tt (Simplify)[/tex]

[tex]\tt \cfrac{2b}{2}=\cfrac{80}{2}\;\;( Divide\; both \;sides\: by\; 2)[/tex]

[tex]\tt b=40[/tex]

~

Solve for b.
-3b + 2.5 = 4

Answers

Answer: b = -0.5

Step-by-step explanation:

Given

-3b + 2.5 = 4

Subtract 2.5 on both sides

-3b + 2.5 - 2.5 = 4 - 2.5

-3b = 1.5

Divide -3 on both sides

-3b / -3 = 1.5 / -3

[tex]\boxed{b=-0.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]\Longrightarrow: \boxed{\sf{b=-0.5}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate the term of b from one side of the equation.

-3b+2.5=4

First, you have to subtract by 2.5 from both sides.

→ -3b+2.5-2.5=4-2.5

Solve.

Add or subtract the numbers from left to right.

→ -3b=1.5

Then, you divide by -3 from both sides.

→ -3b/-3=1.5/-3

Solve.

Divide the numbers from left to right.

→ 1.5/-3=-0.5

b=-0.5

Therefore, the correct answer is b=-0.5.

I hope this helps! Let me know if you have any questions.

A log is partly buried in the mud. One third of the log is buried and 8 meters of the log are above ground. What is the total length of the log?

Answers

Answer:

12

Step-by-step explanation:

The answer is 12 because if 1/3 of the log is buried then 2/3 of the log is 8 meters. 8 divided by 2 is 4 so you know that 1/3 of the log is 4 meters. Then you just multiply 4 times 3 or add 4 and 8.

Answer:

12 meters

Step-by-step explanation:

see image. If 1/3 log is buried, then 2/3 (the rest of it) log is above ground. If 8meters of log is 2/3 of the log, that is 8 meters is 2 parts, then each part is 4 meters.

2 parts (thirds!) above ground:

8 meters

1 part (one-third) below ground:

4 meters

Total is 8 + 4 =12

or 3×4 = 12

The whole log is 12 meters.

Janie has $3. She earns $1.20d for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.
Write an inequality to determine the number of chores, c, Janie could do to have enough money to buy the CD.

Answers

Answer:

3+1.20c > 13.50

Step-by-step explanation:

hope this helps

Right triangle
What is the area
Left = 20 in
Bottom = 2 in

Answers

The area of a triangle is 1/2*base*height
Therefore, it would be 1/2*2*20 which is 20 (sq. Inch)

Answer:

20sq in

Step-by-step explanation:

h x b / 2

20 x 2 / 2

40/2

20

hello help me with this question thanks in advance​

Answers

Question #38 Answer

D. 40 ft.

Explanation:

Based on the given conditions, formulate:

[tex]30\times20\div15[/tex]

Calculate

[tex]\frac{30\times20}{15}[/tex]

Cross out the common factor

[tex]2\times20[/tex]

Calculate the product or quotient

[tex]40[/tex]

___________________________________________________

Question #39 Answer

C. Yes, Right Triangle Similarity Theorem

Explanation:

[tex]-\ If\ an\ altitude\ is\ drawn\ to\ the\ hypotenuse\ of\ a\\ right\ triangle,\ then\ the\ two\ triangles\ formed\ are\\ similar\ to\ the\ original\ triangle\ and\ to\ each\ other.[/tex]

____________________________________________________

Question #40 Answer (Picture attached)

D. 23.40 ft.

Explanation:

[tex]height\ of\ tree:x[/tex]

[tex]\frac{x}{s_0-d_0}=\frac{39}{50}[/tex]

[tex]x=\frac{30.39}{50}[/tex]

[tex]=23.40ft[/tex]

[tex]\left \{ {{calculate\}[/tex]

I hope this helps you

:)

CAN SOMEONE GIVE ME A RIGHT ANGLE TRIG WORD PROBLEM JUST MAKE IT UP PLS ILL GIVE BRAINLIEST

Answers

Answer:

In a right triangle, the leg adjacent to an angle of 25° is 13 cm long. How long is the leg opposite the 25° angle, to the nearest tenth?

Step-by-step explanation:

What percent of 6y is 24?

Answers

Step-by-step explanation:

6y×100=24

600y=24

600y/600=24/600

y=4/100

y=0.04

solve to get brainiest ​

Answers

3.

[tex] \frac{3}{10 } = 0.3[/tex]

[tex]0.25 < 0.3 < 0.333[/tex]

[tex] \frac{32}{100} = \frac{8}{25} = 0.32[/tex]

[tex]0.25 < 0.32 < 0.333[/tex]

[tex] \frac{26}{100} = \frac{13}{50} = 0.26[/tex]

[tex]0.25 < 0.26 < 0.333[/tex]

[tex] \frac{28}{100} = \frac{7}{25} = 0.28[/tex]

[tex]0.25 < 0.28 < 0.333[/tex]

[tex] \frac{252}{1000} = \frac{63}{250} = 0.252[/tex]

[tex]0.25 < 0.252 < 0.333[/tex]

5.

[tex] \frac{ \frac{ - 2}{5} + \frac{1}{2} }{2} = \frac{ \frac{ - 4 + 5}{10} }{2} = \frac{ \frac{1}{10} }{2} = \frac{1}{20} [/tex]

Write a formula that only works if the angle in the formula is given in radians.

Answers

To convert degrees to radians, first convert the number of degrees, minutes, and seconds to decimal form. Divide the number of minutes by 60 and add to the number of degrees. So, for example, 12° 28' is 12 + 28/60 which equals 12.467 degrees. Next multiply by π and divide by 180 to get the angle in radians. Did it help?

What is the value of x?

Answers

Answer:

Step-by-step explanation:

All the three sides are equal. So, it is an equilateral triangle.

Each angle in an equilateral triangle = 60°

7x + 4 = 60

    7x  = 60 -4

    7x   = 56

      x = 56/7

x = 8

Please help me with these. God bless you

Answers

Counting all of the lines, there is About 17

Answer:

The lines of symmetry in the wheel is infinite.

Explanation:

Since there are an infinite number of lines through the center, a circle has an infinite number of lines of symmetry.

Kaseem had 1/4 box of candy. He ate 1/2 of the candy. What fraction of the box did Kaseem eat? Show all work.

Answers

Answer:

1/8

Step-by-step explanation:

So he had 1/4 of a candy box and he ate 1/2 of it. 1/2 of 1/4 is 1/8 because 1/4 × 1/2 =1/8

Which rectangles have the same areas but greater perimeters than the one shown below? Choose all that apply.

A rectangle is shown with a length and height of 6 ft.

A.
12 feet long and 3 feet wide

B.
9 feet long and 4 feet wide

C.
8 feet long and 3 feet wide

D.
7 feet long and 4 feet wide

E.
18 feet long and 2 feet wide

Answers

The  rectangles have the same areas but greater perimeters are 12 ft by 3 ft, 9 ft by 4 ft and 18 ft by 2 ft.

What is area?

Area is the amount of space occupied by a two dimensional shape or object.

A rectangle is shown with a length and height of 6 ft. Hence:

Area = (6 * 6) = 36 ft²

Perimeter = 2(6 + 6) = 24 ft

For 12 ft by 3 ft:

Area = (12 * 3) = 36 ft²

Perimeter = 2(12 + 3) = 30 ft

For 9 ft by 4 ft:

Area = (9 * 4) = 36 ft²

Perimeter = 2(9 + 4) = 26 ft

For 8 ft by 3 ft:

Area = (8 * 3) = 24 ft²

Perimeter = 2(8 + 3) = 24 ft

For 7 ft by 4 ft:

Area = (7 * 4) = 28 ft²

Perimeter = 2(7 + 4) = 26 ft

For 18 ft by 2 ft:

Area = (18 * 2) = 36 ft²

Perimeter = 2(18 + 2) = 40 ft

The  rectangles have the same areas but greater perimeters are 12 ft by 3 ft, 9 ft by 4 ft and 18 ft by 2 ft.

Find out more on area at: https://brainly.com/question/25292087

solve the question in the picture​

Answers

Answer:

n = 7

Step-by-step explanation:

simplify the logs according to their bases

Answer:

n = 7

Step-by-step explanation:

[tex]\sf \log_4(64)^{n+1}=log_5(625)^{n-1}[/tex]

Change 64 to an exponent with base 4 and 625 to an exponent with base 5:

[tex]\implies \sf \log_4(4^3)^{n+1}=log_5(5^4)^{n-1}[/tex]

Using exponent rule [tex](a^b)^c=a^{bc}[/tex]

[tex]\implies \sf \log_4(4)^{3(n+1)}=log_5(5)^{4(n-1)}[/tex]

Using log rule:  [tex]\log_a(b^c)=c \log_a(b)[/tex]

[tex]\implies \sf 3(n+1)\log_4(4)}=4(n-1)log_5(5)[/tex]

Using log rule: [tex]\sf \log_a(a)=1[/tex]

[tex]\implies \sf 3(n+1)=4(n-1)[/tex]

[tex]\implies \sf 3n+3=4n-4[/tex]

[tex]\implies \sf 3+4=4n-3n[/tex]

[tex]\implies \sf n=7[/tex]

Which is the graph of 25x2 + 4y2 = 100?

Answers

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

An ice cream shop sold 352 scoops of ice cream.25% of the scoops sold were strawberry ice cream.how many scoops of strawberry ice cream were sold

Answers

Answer:

88 scoops

Step-by-step explanation:

Hello!

If 25% of 352 scoops were strawberry, we find 25% of 352

Solve:

25% of 3520.25 * 35288

This means 88 scoops of strawberry were sold.

Image attatched for conversion of decimals, percents, and fractions.

How many factors do numbers of the form p^n and q^m have if p and q are two different prime numbers and m and n are natural numbers?

Answers

The only common factor between these two numbers will be 1.

How many factors do these numbers share?

Remember that any number can be decomposed as a product of prime numbers. For example for 18 we have:

18 = 2*3*3

There 18 is written as a product of its prime factors.

Now, for our case of p^n and q^m we will have:

p^n = P = p*p*p...*p     n times.

q^m = Q = q*q*q*...*q     m times.

Now, notice that because q and p are primes, there is no common factor in these two decompositions. (and we can't decompose it furthermore). Then we conclude that the only factor that these numbers share is the trivial one, which is 1.

If you want to learn more about prime numbers, you can read:

https://brainly.com/question/145452

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