what is an equation of the line that is perpendicular to line y= -1/2x -2 and passes through the point (0,-4)?

Answers

Answer 1

Answer:

[tex]y = 2x -4[/tex]

Step-by-step explanation:

[tex]y = -\frac{1}{2}x - 2\ \ \ \ \ \ (0, -4)[/tex]

To find the perpendicular equation of a line,

You need the product of their gradients to be -1

[tex]-\frac{1}{2} \times ? = -1[/tex]

Divide both sides by [tex]-\frac{1}{2}[/tex]

? = 2

The gradient of the perpendicular line is 2

Straight line formula is in the form [tex]y = mx + c[/tex]

[tex]y = 2x + c[/tex]

We're nearly there, we just need to find out c.

Luckily, we're given a point [tex](0, -4)[/tex]

[tex](x, y) = (0, -4)[/tex]

[tex]y = 2x + c[/tex]

[tex]-4 = 2(0) + c\\-4 = 0 + c\\c = -4[/tex]

We then end up with...

[tex]y = 2x -4[/tex]


Related Questions

Use the picture attached.
How many lines of symmetry does the picture have?
A.
3
B.
0
C.
1
D.
2

Answers

Answer: the answer is choice b which is 0 .

Step-by-step explanation: Any irregular quadrilateral has zero lines of symmetry because the sides are not equal so they won't form equivalent sides . This shape or quadrilateral can't be divided to lines of symmetry as the sides won't be equal . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

The Correct answer is B.0.

Hope it helps you Czn!!

Please Mark me as Brainleast!!

An avid golfer goes to the driving range to practice with her favorite golf club. In a random sample of 33 swings, she hits the ball, on average, 185 yards with a standard deviation of 16.7 yards. Which of the following correctly interprets the 99% confidence interval for the true mean number of yards she hits the ball with this club?

99% of all balls she hits with this club will lie between the values in the interval.
In repeated sampling, 99% of the time the true mean number of yards the ball is hit with this club is 185.
This golfer can be 99% confident that the constructed interval captures the true mean number of yards a ball will travel when hit with this club.
In repeated sampling, 99% of the time the true mean number of yards the ball will travel when she hits with this club will be captured in the constructed interval.

Answers

Answer:

99% of all balls she hits with this club will lie between the values in the interval.

Step-by-step explanation:

Edge  2022

What is the expanded form of 72 cubed?

[72x2]
{72x3}
[72x72]
{72x72x72}

Answers

Answer:

72 × 72 × 72

72³ is 72 cubed, the tiny 3 indicates that we multiply 72 by itself 3 times.

What is the slope of the line that passes
* through the points (8, -9) and (1, 3)?

Answers

Answer:

[tex]\boxed{\sf{-\dfrac{12}{7} }}[/tex]

Step-by-step explanation:

Use the slope formula.

[tex]\underline{\text{SLOPE FORMULA:}}[/tex]

[tex]\longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

y2=3

y1=(-9)

x2=1

x1=8

Rewrite the problem down.

[tex]\sf{\dfrac{3-(-9)}{1-8}=\dfrac{3+9}{1-8}=\dfrac{12}{-7}=\boxed{\sf{-\dfrac{12}{7} }}[/tex]

Therefore, the slope is -12/7.

I hope this helps, let me know if you have any questions.

Answer:

[tex]\boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]

Step-by-step explanation:

Slope formula:

[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Using the coordinates (8, -9) and (1, 3), we obtain the following:

First point       =  (x₁, y₁)   =  (8, 9)   =  x₁ = 8     y₁ = 9Second point =  (x₂, y₂)  =   (1, 3)   =  x₂ = 1     y₂ = 3

Substitute the coordinates of both the points in the slope formula to obtain the fraction that represents the slope.

[tex]\implies \text{Slope} = \dfrac{3 - (- 9)}{1 - 8}[/tex]

To obtain a specific fraction or whole number that represents the slope, we need to simplify the numerator and the denominator.

[tex]\implies \text{Slope} = \dfrac{3 + 9}{-7}[/tex]

[tex]\implies \text{Slope} = \dfrac{12}{-7}[/tex]

Use parenthesis and take out the "negative sign" from the denominator.

[tex]\implies \boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]

consider a protein that has 120 amino acids. how many tries, on average, would it take to randomly select the 120 amino acids in the correct sequence? Use the given conversion factor from tries to seconds to find how long it would take to complete the average number of random tries calculated in the previous problem.

Answers

With the conversion factor from tries to seconds, the time taken to to complete the average number of random tries is 24 minutes.

How to calculate the number of tries?

Your information is incomplete. Therefore, an overview will be given based on the values. Let's assume that the number of tries for 10 amino acids is 2 minutes.

Therefore, the duration for 120 amino acids will be:

= (120/10) × 2

= 12 × 2

= 24 minutes.

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What is the value of 2 ÷ (4 ÷ (6 ÷ (8 ÷ 10)))?

Answers

Answer:

1.66

---------

First find the value of 8 divided by 10 because they are in parentheses.

[tex]10/8 = 1.25[/tex]

Divide 6 by 1.25

[tex]6 / 0.8 = 4.8[/tex]

Then, divide by 4

[tex]4.8 / 4 = 1.2[/tex]

Finally, divide 2 by 1.2

[tex]2 / 1.2 = 1.66[/tex]

The answer should be 1.66 if you do the problem right to left(because of the order of operations).

Solve the following equation for X: 6(4x+5)=3(X+8)+3 round to the nearest hundred

Answers

X=5.4 because that is how i figured out the answer and I didn’t even figure out

New Tab

The line plot shows the ages at which a group of musicians started to play an
instrument. Based on the data in the line plot, which statement is not true?
х
X X X
x x х х х
х х х х х х х
х х х х х х х х х
х х х х х х х х х
+ +
4 5 6 7 8 9 10 11 12
Age of musician
*I*
The range of the ages shown is 8 years.
Most of the musicians started to play at age 9 or older.

Answers

Answer:

Their are 34 musicians

Step-by-step explanation:

In the expression x2 + 4x2 + 16x2, x2, 4x2, and 16x2 are examples of _____

Answers

Answer:

345-345 x 234567890

Step-by-step explanation:

asi queda el doble

Please help me i have part one to this question I told you guys everything you need to know in my last question Ill show u my last question in comments and also 100 POINTS PLEASE HELP AND ILL BRAINLEST

Answers

Answer:

See below ~

Step-by-step explanation:

1. Vertically opposite angles are equal when two lines intersect.

m∠3 = m∠1

2. The sum of two interior angles is equal to the exterior angle forming a linear pair with the third angle.

m∠4 = 88° because 180 - (41 + 47) = 92 and 180 - 92 = 88

3. The sum of the interior angles of a triangle is 180°.

55° + 90° (right angle) + ∠ACB = 180°∠ACB = 180° - 145°∠ACB = 35°

4. You can find the length of a hypotenuse using the Pythagorean Theorem.

EF = √3² + 2² = √13EF = 3.6 units

Which of the following graphs is not a function ?

Answers

d isn’t a function. Do the vertical line test. If it only passes once it is a function.

A salesperson earns a commission of $480 for selling $4000 in merchandise find the commission rate write the answer as a percentage

Answers

Answer:

[tex] \large{ \boxed{12\%}}[/tex]

____________________________________

[tex] \large{ \tt{G \: I \: V \: E \: N}} : [/tex]

[tex] \longrightarrow{ \tt{}}[/tex] Commission received : $ 480

[tex] \longrightarrow[/tex] Selling price of merchandise : $ 4000

[tex] \large{ \tt{ To \: Find : }}[/tex]

[tex] \longrightarrow[/tex] Commission rate

Let the commission rate be x %

[tex] \large{ \tt{SOLVING : }}[/tex]

[tex] \star \: \large{ \tt{x\% \: of \: 4000 = 480}}[/tex]

[tex] \longrightarrow \: { \tt{ \frac{x}{100} \times 4000 = 480 }}[/tex]

[tex] \longrightarrow{ \tt{40x = 480}}[/tex]

[tex] \longrightarrow{ \tt{x = \frac{480}{40} }}[/tex]

[tex] \longrightarrow{ \tt{x = 12\%}}[/tex]

Ya.yy!! We solved the question :D

_______________________________

-: HAPPY LEARNING ( ╹▽╹ )

need help on this one

Answers

8 plants because you count all the dots that are taller than 13 inches. All the X's represent how many plants are the specific height.

Hope it helps!

Susan gave of a pizza to her brother, Joe. Then, she gave of what was left to her mother, and ate the rest herself. What percent of the pizza did Susan eat?
A.
6.25%
B.
5.625%
C.
93.75%
D.
56.25%

Answers

Your answer is A. 6.25%

4+ 10(5-3) + 4 +62 is what
18
42
21
45

Answers

Answer:

18

Step-by-step explanation:

i k

Just todo the test so its tje ansiedad

Find the value of X in this shape

Answers

Apply Pythagorean theorem

P²=H²-B²x²=17²-14²x²=289-196x²=93x=√93

An expression is shown.
re-
emer
30.25 -(-5.7) - 2.08
What is the value of the
expression?

Answers

Answer:

Step-by-step explanation:

-(-5.7) = 5.7

30.25 - (-5.7) - 2.08 = 30.25 + 5.7 -2.08

Now add 30.25 & 5.7

                                =  35.95 - 2.08

                                 = 33.87

Suppose a ball is dropped from a height
of 6 meters and bounces to 90% of its
previous height after each bounce.
Using the formula h = 6(0.9)n, where n
represents the number of bounces and h
represents the maximum height of the
ball after the nth bounce, what is the
approximate maximum height of the
ball after the 12th bounce? (if necessary,
round to nearest tenth)

Answers

Answer:

1.7

Step-by-step explanation

You just do 6 x 0.9 to the twelfth power.

your expenses total $5.600 per month. you charge$25 per hour and have contracts for steady work that total 45 hours per week for 52 weeks of the year. How much does this hourly rate cover your expenses?

Answers

Answer

58,432 money you have leftover or $8,700 still left to pay.

Step-by-step explanation:

After knowing the contracts for steady work is 45 hours per week I just divided it by the days she works a week, which is most likely 5 and got 9 hours a day, then did $25 * 9 to get the payment per day which is $225 then multiplied it by 5 for the days working in a week, then multiply it again by 52 to get $58,500 as your payment and if your expenses is $5.6 per month (5.6*12=67.2) then your payment cover all of it and you still have $58,432.8 remaining, but if the expenses are $5,600 a month (5,600*12=67,200) then you cover most of it but still have to pay $8,700

Meade gave 1/2 of a candy bar to Max and then ate 1/6 of the candy bar himself. What fraction of the candy bar is left?
There is ___ of the candy bar left.

Answers

Let's break this problem into a few steps:

First, Meade gave 1/2 of candy to Max

            ⇒ Amount of Candybar: Candy - (1/2)Candy = (1/2)Candy

Second, Meade ate 2/5 of the candy

           ⇒ Amount of Candy left:  

                    Total amount of candy - (1/6) * Total amount of candy

                                                 = (1/2) Candy - (1/6) *(1/2)Candy

                                                 = (1 - 1/6) * (6/7) Candy

                                                 = 5/6 * 1/2 = 5/12 Candy

Thus there is 5/12 of the candy left.

<
When f(x) = 9x² - 5x + 3, evaluate f(-3)
f(− 3) =
Question Help: Video
Add Work
Submit Question
Jump to Answer

Answers

Answer:

Step-by-step explanation:

Remark

f(x) = 9x^2 - 5x + 3 is given. The notation means that wherever you see and x on the right, you replace it with the x in the brackes on the left. f(3) is a direction, not anything you have to adjust or manipulate.

Solution

f(-3) = 9*(-3^2) - 5*(-3) + 3       (-(3))^2 = -3 * -3 = 9  two minuses make a +

f(-3) = 9*(-3)(-3) + 15 + 3          -3 times an operation of minus equals a +

f(-3) = 9 * 9 + 15 + 3

f(-3) = 81 + 15 + 3

Answer: f(-3) = 99

Help Please!!!!

What is the distance from the hazard buoy P to the southern landmark L2? Use this formula: d^2=(DL2)^2+(PD)^2 , where d is the distance from P to L2, DL2 is the distance from D to L2, and PD is the distance from P to D. Round to the nearest foot. (5 points)

DL2 = 600ft
PD = 700ft

Answers

Answer:

922 ft

Step-by-step explanation:

[tex]d^{2}=PD^{2}+D_{2}L^{2}\\\ \ \ \ \\ =\ 600^{2}+700L^{2}\\\ \ \ \ \\ =\ 850000\\\\\text \\then\\d = \sqrt{850000} =921.954445729289\\\\\text then\\d\ \approx922[/tex]

Write two expressions that could be
used to help you determine the new cost of
a $68 dinner after adding on a 18% tip.

Answers

Answer:$80.24

Step-by-step explanation:68*0.18(18%)

12.24

68+12.24=$80.24

Two friends, Bob and Ben, each buy one ticket for a drawing. They can choose six numbers from a total of one hundred numbers (0 - 99) for their ticket. Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89. Who has a higher probability of winning the drawing?

Answers

Bob and Ben, both have equal probabilities of 6 % of winning.

What is probability?

Given that Bob and Ben are two friends who buy one lottery ticket each. Each ticket contains six numbers from a total of one hundred numbers from 0 to 99.

Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89.

We are to select the friend who has a higher probability of winning.

Let, 'S' be the sample space for the experiment.

Then, S = {0, 1, 2, . . . , 98, 99}      ⇒  n(S) = 100.

Let, B and F are the events that Bob win and Ben win respectively.

Then,

B = {1, 2, 3, 4, 5, 6}     ⇒  n(B) = 6

and

F = {39, 45, 66, 72, 74, 89}     ⇒  n(F) = 6.

Therefore, the probability of even t B is

[tex]P(B)=\dfrac{n(B)}{n(S)}=\dfrac{6}{100}=6\%[/tex]

and the probability of event F  is

[tex]P(B)=\dfrac{n(F)}{n(S)}=\dfrac{6}{100}=6\%[/tex]

Since, both the events have equal probabilities, so there is an equal chance of winning of Bob and Ben.

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Answer:

See image

Step-by-step explanation:

Plato

3) If the population of the United States increased to 420 million and the number of
representatives remained at 435, how many Americans, on average, would each
representative serve?

Answers

Answer:

About 965517 Americans.

Answer:

About 96,5517 people / representative

Step-by-step explanation:

420,000,000 / 435 = 96,5517.24 people per representative

brainliest for help!
Sketch a graph of the function
y =sin(x) + 2

Answers

Answer:

The parent sine graph [tex]y=sin(x)[/tex] has a range of -1 ≤ y ≤ 1

It crosses the x-axis x = 0° ± 180°n

The maximum points occur when x = 90° ± 360°n and y = 1

The minimum points occur when x = 270° ± 360°n and y = -1

The sketch the graph of function [tex]y=sin(x)+2[/tex] we simply move the graph of [tex]y=sin(x)[/tex] up 2 units.

So this means it will have a range of 1 ≤ y ≤ 3

It no longer crosses the x-axis.

The maximum points occur when x = 90° ± 360°n and y = 3

The minimum points occur when x = 270° ± 360°n and y = 1

Attached diagram

The parent function [tex]y=sin(x)[/tex] is shown in grey (dashed line)

The function [tex]y=sin(x)+2[/tex] is shown in red.

Solve the equation n2 − 29 = 260 by using square roots.
A. n = ±17
b. n = ±19
c. no real solutions
d. n = ±18

Answers

Answer:

Option A, [tex]n =[/tex] ± [tex]17[/tex]

Step-by-step explanation:

Step 1:  Add 29 to both sides

[tex]n^2 - 29 = 260[/tex]

[tex]n^2 - 29 + 29 = 260 + 29[/tex]

[tex]n^2 = 289[/tex]

Step 2:  Square root both sides

[tex]\sqrt{n^2} = \sqrt{289}[/tex]

[tex]n =[/tex] ± [tex]17[/tex]

Answer:  Option A, [tex]n =[/tex] ± [tex]17[/tex]

Given that 11x-3>=28x +10 State the least possibe value of x if a)x is an integer b)x us a prime number​

Answers

Answer:

  a, b) no solution

Step-by-step explanation:

The solution of your inequality on real numbers can be used to inform the solution for other domains.

__

  11x -3 ≥ 28x +10

  -13 ≥ 17x . . . . . . . . subtract (11x+10)

  -13/17 ≥ x . . . . . divide by the coefficient of x

__

a)

If x is an integer, there is no least possible value. x will approach negative infinity. (no solution)

__

b)

There are no negative prime numbers, so there are no values of x that are prime. (no solution)

Cody wanted to play fetch with his dog. His dog had ten chew toys. Cody took six toys outside for his dog. Write a decimal to show what part of the toys is still inside.​

Answers

Answer:

60% :)

Step-by-step explanation:

6/10 = 0.6 x 100 = 60% :D

Have an amazing day!!

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How many whole numbers between -32 and 77

Answers

Answer:

77 whole numbers because anything below 0 does not count as a whole number.

Answer: 77

Step-by-step explanation:because - numbers arent whole

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So report cards are due tomorrow please help Mendel did a parental cross with true-breeding tall pea plants and true-breeding short pea plants. The plants in the F1 generation were 100% tallplants. What did he find for the plants in the F2 generation? **a. A 4:0 ratio of tall plants to short plants since the F1 plants used in that cross wereall tall.b. A 3:1 ratio of tall plants to short plants since the F1 generation was heterozygous.c. A 4:1 ratio of tall plants to short plants since the allele for tall plants is dominant.d. A 1:1 ratio of tall plants to short plants since the F2 generation had the samecharacteristics as the parent plants. For the given angle measure, find the measure of a supplementary angle and the measure of a complementary angle. 27 155.5-5.520.7 help me with this What enzymes help digest proteins? Which line from thepassage best supports the ideathat the printing press was an important invention?x "The printing press, introduced in Europe""Soon, printers were in business across Europe"S"Gutenberg's invention changed all that""The ideas of the Reformation began to spread" A peptide consisting of nine amino acids was partially hydrolysed. Three different tripeptides were isolated. None of the tripeptides share a common amino acid. Based on the data, what is the total number of possible structures possible for the full-length peptide?. A muscle that opposes or reverses a particular movement is a. Reason for IEE regulations in electrical installation Use the drop-down menu to answer the question. a student is going to produce static charge in a glass rod by rubbing it with a piece of silk. which method of transferring charge does this image illustrate? The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll ishalf as tall as the one before it. If there are 8 dolls in the collection, which is closest tothe combined height of the dolls?O A. 1.5 metersO B. 2 metersO C. 3.1 metersO D.4 meters Find the value of sin C rounded to the nearest hundredth, if necessary.20E11DHelp PLEASE Question 2 of 30A pamphlet about a fuel that contains up to 15% ethanol claims that the fuelproduces less of some types of pollution. The amount of ethanol in the fueland the pollutants are regulated by the government. What can you not inferfrom this information? 1N34.567Find the area of the figure. (Sides meet at right angles.)5 cm3 cmB cm5 cm5 cm4 cm4 cm Obese children are, for the first time, being diagnosed with what medical condition that was believed to occur almost exclusively in adults?a. Hypertensionb. Hypercholesterolemiac. Type 1 diabetesd. Type 2 diabetes Who was the audience for the Balfour Declaration? On a grid, moving from 0,0 to 4,4 makes a line at a 90-degree angle.true or false Which quadrant will (30,-45) fall into? 1. Author Kristin Lewis writes, Tutankhamen is a drop of water in the ocean of history. This line contains _______. Which option best completes the list? Achievements of the Maya Civilization Carefully planned cities Advanced mathematics ? O A. Advanced naval navigation OB. Accurate calendar systems OC. Steel weapons and tools OD. Gunpowder firearms