write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45​

Answers

Answer 1

Answer:

y = 5/4x - 6

Step-by-step explanation:

First, put 4x + 5y= -45​ in y = mx + b form

4x + 5y= -45​

5y = -4x - 45

y = -4/5x - 9

So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4

To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

-11 = 5/4(-4) + b

-11 = -5 + b

-6 = b

Plug in b and the slope into y = mx + b

y = 5/4x - 6

So, the equation is y = 5/4x - 6


Related Questions

The sticker price for a new car takes into account the compensation made to the salesperson who managed the sale. This compensation is an example of what type of cost?
A): dealer cost
B): shipping cost
C): manufacturing cost
D): sales commission​

Answers

It’s A, you just gotta read the question carefully and pay attention to the text details

In Exercise 7, how likely is it Mrs. Phillips will open a
can of corn? a can of peas? Explain.

Answers

Answer:ptsStep-by-step explanation:

7. Sydney cleans her room for 45 minutes. 'She starts at 11:13 a.m. What time does Sydney finish cleaning her room?​

Answers

Answer:11:58 duh

Step-by-step explanation I can count

Answer:

SYDNEY FINISH CLEANING HER ROOM AT 11:58 a.m.

Solve : t+2t squared

Answers

Answer:

t=0 or t=-1/2

Step-by-step explanation:

Solve for t over the real numbers:

t (2 t + 1) = 0

Split into two equations:

t = 0 or 2 t + 1 = 0

Subtract 1 from both sides:

t = 0 or 2 t = -1

Divide both sides by 2:

Answer: |

| t = 0 or t = -1/2

Simplify the following expression:
–10x – 9x + 1

Answers

-19x+1 is the simplified version. You collect like terms to get (-10-9)x+1 and then calculate the difference for the answer.

Answer: -19x +1

Step-by-step explanation: Do -10x -9x which is -19x and you have 1 which is unlike terms .So your final answer is -19x +1 .

Help please !!! ❗️❗️❗️❗️❗️❗️

Answers

Step-by-step explanation:

1. f(x) = 12x + 1

f(-2) = 12(-2) + 1 = -23

f(0) = 12(0) + 1 = 1

f(3) = 12(3) + 1 = 37

2. p(x) = -8x - 2

p(-2) = -8(-2) - 2 = 14

p(0) = -8(0) - 2 = -2

p(3) = -8(3) - 2 = -26

3. m(x) = -6.5x

m(-2) = -6.5(-2) = 13

m(0) = -6.5(0) = 0

m(3) = -6.5(3) = -19.5

4. s(x) = ⅖x + 3

s(-2) = ⅖(-2) + 3 = -⅘ + 3 = 11/5

s(0) = ⅖(0) + 3 = 3

s(3) = ⅖(3) + 3 = 6/5 + 3 = 21/5

5. h(x) = ¾x - 6

h(-2) = ¾(-2) - 6 = -6/4 - 6 = -30/4

h(0) = ¾(0) - 6 = -6

h(3) = ¾(3) - 6 = 9/4 - 6 = -15/4

Suppose the graph of fis given. Describe how the graph of each function can be obtained from the graph of f.
(a) y = f(x + 6) + 2
shift 6 units to the left and 2 units upward
shift 2 units to the right and 6 units upward
shift 6 units to the left and 2 units downward
shift 6 units to the right and 2 units upward
shift 2 units to the right and 6 units downward
x
(b) y = f(x - 9) - 3
shift 3 units to the right and 9 units downward
shift 9 units to the right and 3 units downward
shift 9 units to the left and 3 units downward
shift 3 units to the left and 9 units upward
o shift 9 units to the right and 3 units upward
X

Answers

Answer:

300000000

Step-by-step explanation:

If the probability of a husband cooking eggs for breakfast is 0.1, the probability of a husband cooking bacon for breakfast is
0.3, and the probability of cooking eggs and bacon for breakfast is 0.06, what is the probability of a husband cooking eggs
or bacon for breakfast?

Answers

Answer:

00.6inches 0.03 and o.1 or 5 times 0.006

A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08

Answers

Answer:

48(c)

Step-by-step explanation:

4.8=48 as move 10 will change 4.8 as 48

5.7x10^-3 in standard notation

Answers

0.0057
Move decimals left 3 times
The answer would be 2005,7

Someone please answer this correctly!!

Answers

Answer:

1.98 × 10^10

Step-by-step explanation:

First solve for how many text messages were sent out per one month:

22,000,000 × 900

19,800,000,000

Convert into scientific notation:

1.98 × 10^10

In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.

The inequality 2764 + x Greater-than-or-equal-to 5000 can be used to determine the amount of money the family still needs to save. What is the solution to the inequality?
x Greater-than-or-equal-to 2236
x Greater-than-or-equal-to 7764
x Less-than-or-equal-to 2236
x Less-than-or-equal-to 7764?

Answers

Answer: x greater-than or equal-to 2,236

Step-by-step explanation:

5,000-2,764= 2,236

so Li's family still needs to save at least $2,236

Answer:

A

Step-by-step explanation:

bc

The national average for the number of students per teacher for all U.S. public schools is 15.9. A random sample of 12 school districts from a moderately populated area showed that the mean number of students per teacher was 19.2 with a variance of 4.41. Assume a normal distribution is appropriate for the number of students per teacher.a)[7 pts] Estimate the true mean number of students per teacher with 95% confidence from the random sample. b) [6 pts] A researcher makes the claim that moderately populated districts have a different number of students per teacher than the national average. Do the data support this claim

Answers

Answer:

The  95% confidence interval of the mean is

(17.8658, 20.5342)

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 15.9

Given that the size of the sample 'n' =12

Mean of the sample   x⁻ = 19.2

Given that the variance of the sample = 4.41

The standard deviation of the sample (S) = 2.1

Step(ii):-

Degrees of freedom = n-1

ν = n-1 = 12-1=11

t₀.₀₅ =  2.2010

The  95% confidence interval is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]

[tex](19.2 - 2.2010 \frac{2.1}{\sqrt{12} } , 19.2 + 2.2010 \frac{2.1}{\sqrt{12} } )[/tex]

(19.2 - 1.3342 , 19.2+1.3342)

(17.8658 , 20.5342)

Final answer:-

The  95% confidence interval of mean is

(17.8658 , 20.5342)

PLEASE HELP ASAP!!
Find the area of the rectangle below in terms of y. Make sure your expression is fully
simplified.
Recall, the formula for area of a rectangle is A= lw
YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT.

Answers

Step-by-step explanation:

Area of rectangle is Length × Breadth

Where Length is 6y⁴+3y³-y²-8Width is 2y²

We need to multiply these 3 terms.

[tex]\rm{2y^2 \times (6y^4 + 3y^3 - y^2 - 8)}[/tex]

Use distributive property

= 12 y⁶ + 6y⁵ - 2 y⁴ - 16 y²

Hope it helps :)

PLSSS THO Write an equation that matches the graph shown below for the number of days, d, in any number of weeks, w.

Answers

Answer:

d= 7w, if you are looking for a slope intercept form

Question 10 of 25
What are of a makes the trinomial below a perfect square
x^2-bx+36

Answers

b = 12

This is the answer. Tell me if you want an explanation.

What does please put it in simplest radical form and rationalize the denominators
N=
M=

Answers

Answer:

n = 6

m = 6√3

Step-by-step explanation:

Reference angle = 30°

Opposite = n

Adjacent = m

Hypotenuse = 12

✔️To find n, apply the trigonometric ratio, SOH:

Sin 30° = Opp/Hyp

Sin 30° = n/12

n = Sin 30° × 12

n = ½ × 12 = 6

✔️To find m, apply the trigonometric ratio, CAH:

Cos 30° = Adj/Hyp

Cos 30° = m/12

m = Cos 30° × 12

m = √3/2 × 12 (cos 30 = √3/2)

m = √3 × 6

m = 6√3

What is the measure of n?
m
n
44
11
n
=
[?]
Enter
please help me i’ll give u brainliest rn

Answers

Answer:22

Step-by-step explanation:

<4and <5 are alternate interior angles. Find the measure of <5

Answers

Answer:

115 degrees

Step-by-step explanation:

Since <4and <5 are alternate interior angles, this means that they are equal because alternate interior angles of a geometry are equal. Hence since

<4 = 115 degrees, <5 is also equal to 115 degrees

Simplify 11x+3y-5x-2y

Answers

Answer: 6x+y

Step-by-step explanation:

Answer:

6x + y

Step-by-step explanation:

11x + 3y - 5x - 2y

→ Simplify the x terms

6x + 3y - 2y

→ Simplify the y terms

6x + y

Please help, if you’re correct I’ll mark you as brainiest!!!

Answers

Answer:

D. 16.7%

Step-by-step explanation:

Rate of return is:

R = (Vf - Vi) / Vi

R is the rate of return, Vf is the final value, and Vi is the initial value. Essentially, you're finding the change in value and dividing by the initial value.

R = (1750 - 1500) / 1500 = 0.167 = 16.7%

Make sure that you divide by the initial value, not the final. If you divided by 1750 instead, you would have gotten 14.3% which is not correct.

Make sure you check your sign as well. The value increased, so the rate of return is positive.

Find the area and the circumference of a circle with radius 5m Use the value 3.14 for n, and do not round your answers.

Answers

Answer:

78.54

Step-by-step explanation:

The water hose can fill a water basin in 6 minutes, while it takes 8 minutes to empty it with the drain spigot. How long will it take to fill the empty water basin if the spigot is left open? Enter just the number no words

Answers

Answer:24

Step-by-step explanation:

PLEASE HELP
The table above gives selected values for the differentiable function f. in which of the following intervals must there be a number c such that f’(c)=2 PHOTO ATTACHED

Answers

Answer:

C.

Step-by-step explanation:

We need to apply Mean Value theorem here.

We just need to calculate the average rate of change for each interval.

A) x=0 to x=4

We have the points (0,8) and (4,0) are the points that correspond to the endpoints of the given interval.

(8-0)/(0-4)

8/-4

-2

Not this choice

B) x=4 to x=8

We have the points (4,0) and (8,2) are the points that correspond to the endpoints of the given interval.

(2-0)/(8-4)

2/4

1/2

Not this choice

C) x=8 to x=12

We have the points (8,2) and (12,10) are the points that correspond to the endpoints of the given interval.

(10-2)/(12-8)

8/4

2

This one works.

D) x=12 to x=16

We have the points (12,10) and (16,1) are the points that correspond to the endpoints of the given interval.

(1-10)/(16-12)

-9/4

The table is an illustration of mean value theorem

[tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)

If a function is differentiable, then:

[tex]\mathbf{f'(c) =\frac{f(b) - f(a)}{b - a}}[/tex]

(a) (0,4)

This gives

[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4 - 0}}[/tex]

[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4}}[/tex]

From the table, we have:

[tex]\mathbf{f'(c) =\frac{0 - 8}{4}}[/tex]

[tex]\mathbf{f'(c) =\frac{- 8}{4}}[/tex]

[tex]\mathbf{f'(c) =-2}[/tex]

(b) (4,8)

This gives

[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{8 - 4}}[/tex]

[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{4}}[/tex]

From the table, we have:

[tex]\mathbf{f'(c) =\frac{2-0}{4}}[/tex]

[tex]\mathbf{f'(c) =\frac{2}{4}}[/tex]

[tex]\mathbf{f'(c) =\frac{1}{2}}[/tex]

(c) (8,12)

This gives

[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{12 - 8}}[/tex]

[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{4}}[/tex]

From the table, we have:

[tex]\mathbf{f'(c) =\frac{10-2}{4}}[/tex]

[tex]\mathbf{f'(c) =\frac{8}{4}}[/tex]

[tex]\mathbf{f'(c) =2}[/tex]

Hence, [tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)

Read more about mean value theorems at:

https://brainly.com/question/3957181

B. You spin a spinner with equal-sized sections, as shown. Determine each
probability. 6) P(Yellow or Blue) *

Answers

Answer:

The probability of spinning yellow or blue is [tex]\frac{4}{5}[/tex] or 80%.

Step-by-step explanation:

Since the circle is split evenly into 5 parts, and 4 parts are either blue or yellow, that means the probability of spinning blue or yellow is the number of blue or yellow sections divided by the total sections, which is [tex]\frac{4}{5}[/tex] or 80%.

i don’t know the answer help asap

Answers

Answer:

measure of <DFH=56

Step-by-step explanation:

The two triangles are similar, so their angles are the same, but their lengths are different.

If their angles are the same, then 98-6x=63-x.

98-6x=63-x (subtract: 98-63)

35-6x=-x (add 6x-x)

35=5x (divide by 5)

7=x (Then make sure you answer the question and put x in 63-x.)

63-(7)=56

A caterer uses special stacking ovens to prepare large
amounts of food. Find the total number of servings that
can be prepared in one hour.
Lasagne: 8 servings per pan
Number of pans per oven: 3
Number of ovens: 3
Pan changes in one hour: 2

Answers

Answer:

144

Step-by-step explanation:

Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling method. The marketing department of a widget manufacturer collected potential consumer preference data regarding a proposed widget upgrade. Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget. The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets. At a .10 level of significance, was the threshold probably met

Answers

Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

[tex]H_{0}: p \geq 0.6[/tex]

And the alternate hypothesis is:

[tex]H_{a}: p < 0.6[/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.

0.6 is tested at the null hypothesis:

This means that:

[tex]\mu = 0.6[/tex]

[tex]\sigma = \sqrt{0.6*0.4}[/tex]

Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.

This means that [tex]n = 575, X = \frac{338}{575} = 0.5878[/tex]

Value of the test-statistic:

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

[tex]z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}[/tex]

[tex]z = -0.6[/tex]

Pvalue of the test and decision:

We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.

Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

Since 0.2743 > 0.1, the threshold probably was met.

What’s the median of 70,77,80,81,82,87,88

Answers

Answer:

Hello There!!

Step-by-step explanation:

You order them but in this case they are already ordered and the middle number is 81 so that is the median(also knows as the middle).

hope this helps,have a great day!!

~Pinky~

Answer:

The median is 81.

Step-by-step explanation:

You can find the median in the middle if it all of them add up to odd.(like your’s say 70, 77, 80,... so that You will count them all. In total you have seven numbers and it’s odd).

if it is an even numbers, you mulitply the middle two numbers and divide them by two. That is the median for even numbers.

Bob asked each of 40 friends how many minutes they took to get to work.
The table shows some information about his results.
Frequency
3
8
Time taken (m minutes)
0 10 20 30 40 11
9
9
Work out an estimate for the mean time taken.

Answers

This is quite a unique question but I think the time taken is 36
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