Solve the quadratic equations

y^2 −10y+21=0
y=?

16p^2 -8p=-1
p=?

x^2 -400=0
x=?

-16m^2 =8m+1
m=?

-3n^2 +75=0
n=?

Answers

Answer 1

Answer:

for quadratic equation 1

y^2-10y+21=0

Step-by-step explanation:

y^2-7y-3y+21=0

y(y-7)-3(y-7)=0

(y-7)(y-3)=0

y-7=0,y-3=0

y=7,y=3

y=(3,7)

for quadratic equation 2

16p^2-8p+1=0

16p^2-4p-4p+1=0

4p(4p-1)-1(4p-1)=0

(4p-1)twice=0

4p-1=0,4p-1=0

4p=1

p=1/4 twice

for quadratic equation 3

x^2-400=0

x^2=400

x=√400

x=20

for quadratic equation 4

-16m^2-8m-1=0

multiply the equation by -

16m^2+8m+1=0

16m^2+4m+4m+1=0

4m(4m+1)1(4m+1)=0

4m+1=0 twice

m=-1/4 twice

for quadratic equation 5

-3n^2+75=0

divide both side by -3

-3n^2/-3=-75/-3

n^2=25

n=√25

n=5


Related Questions

PLEASE ANSWER ASAP FOR BRANILEST!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 60

Step-by-step explanation: Plug in 8 for x and either use the linear supplements theorem to solve or the vertical angles congruence theorem.

Please help me. There are 25 students in Mrs. Benatar‘s class at the beginning of the school year, and the average number of siblings for each student is three. A new student with eight siblings join the class in November. What is the new class average for number of siblings? Round your answer to the nearest hundredth.

Answers

Answer: 3.19

Step-by-step explanation:

So to find the average I used a simple but pretty effective method

3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+8/26=3.1923

So the new average is 3.19

An agricultural researcher is interested in estimating the mean length of the growing season in a region. Treating the last 10 years as a simple random​ sample, he obtains the following​ data, which represent the number of days of the growing season. What is the point estimate of the population mean number of days of the growing​ season? 151 164 146 143 167 188 190 180 170 148 The point estimate is nothing.

Answers

Answer:

The point estimate of the population mean is 164.7

Step-by-step explanation:

Given

[tex]n =10[/tex]

[tex]Data: 151\ 164\ 146\ 143\ 167\ 188\ 190\ 180\ 170\ 148[/tex]

Required

The point estimate of the mean

To do this, we simply calculate the sample mean using;

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{151 +164 +146 +143 +167 +188 +190 +180+170 +148}{10}[/tex]

[tex]\bar x =\frac{1647}{10}[/tex]

[tex]\bar x =164.7[/tex]

2. The area A of a circle is increasing at a constant rate of 2.5cm s . If the area of the circle is given
by A = πr2, what is the rate of change of the radius when the radius is 15cm?

Answers

Answer:

235.65 cm^2s-1

Step-by-step explanation:

We have that;

Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule

Note that dr/dt = rate of change of radius

But

A = πr^2

dA/dr = 2πr

dr/dt = 2.5cm s-1 (given)

So;

dA/dt =  2πr * 2.5cm s-1

r = 15cm (given)

dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1

dA/dt = 235.65 cm^2s-1

Research studies show that the relationship between the tire pressure of a vehicle's tires and the life of the tires is
quadratic. The following table shows data for the tire pressure of a car's tires (in pounds per square inch) and its
average tire life (in thousands of miles)
Tire Pressure Tire Life
29
46.8
32
576
34
58.8
36
60.0
38
58.8
40
57.0
42
52.8
Use a graphing or online regression calculator to find the quadratic function of best fit for this set of data. Then predict
the tire life for this vehicle's tires given that the tire pressure is maintained at 30 psi (pounds per square inch)
47.800 miles
48.800 miles

Answers

Answer:

i dont know what is that explain that

How to find the missing remote angle

Answers

The answer is 70 for this

Please help! What is the population of people?? Answer and explanation please! no links :\

Answers

Answer:

36043.305

Step-by-step explanation:

My brain is so tired I can't-

Multiply all the numbers with the information they gave you, then add them all.

I REALLY HOPE THIS HELPED MY BRAIN NEEDS A BREAK

A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT

if QS= 13 and RS= 12 what is the length of QR

Answers

Right. It is D. Cause RS would be 6 because you would put half. Then round QS= 13. You will find your answer then.


Terrell ran around a track that was 100 yards long.
How many feet did he run?

Answers

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft

By rounding to 1 significant figure estimate the answer to the question of these questions. a) 346x904
b) 2451x988
c) 3203x7756​

Answers

C) 3203x7756 is the correct answer for your question

-7x+4y=32
-5x-2y = -16
elimination method explain please

Answers

Answer:

(0,8)

Step-by-step explanation:

-7x+4y=32

-10x-4y=-32

-17x=0

x=0

-5×0-2y=-16

y=8

(0,8)

The radius of a sector is 1 m
a. Find the area of a 1° sector of the circle.
b. What is the area of the circle containing the sector?
c. If 360 of the 1° sectors of the circle are placed side by side to approximate a parallelogram, what is the approximate area of the parallelogram?
d. What is the difference of the areas in parts (b) and (c) as a percentage of the entire circle?

Answers

I’m pretty sure it’s d but I’m not sure

ten vegetable selections available, how many 3 vegetable plates can be made

Answers

10x9x8=270 plates can made

you are in talks to settle a potential lawsuit. the defendant has offered to make annual payments of 23000 29000 56000 and 84000 to you each year over the next four years respectively. all payments will be made at the end of the year. if the appropriate interest rate is 4.5 percent what is the value of the settlement offer today

Answers

Answer:

The defendant has offered to make annual payments of $23,000, $29,000, $56,000, and $84,000 to you each year over the next four years,

if 400g is 1kg find the ratio in the simplest form​

Answers

Answer:

2 : 5

Step-by-step explanation:

The quantities must have the same units of measure

400 g : 1 Kg

= 400 g : 1000 g ← divide both parts by 200

= 2 : 5


Part B
You will now perform the construction of a tangent to a circle using modern tools.
Open GeoGebra C, and complete each step below. If you need help, follow these
instructions for using GeoGebra.
1. Create a circle with a center at point A with a radius of your choice.
2. Now create a point outside of circle A, and label it point B. Draw a line segment
connecting points A and B. Find the midpoint of line segment AB, and label it
point C.
3. Using point C as the center, create a circle that passes through point A.
4. Circle A and circle C intersect at two points. Find these intersection points, and
label them points D and E.
5. Draw rays from point B through point D and from point B through point E. Also
draw line segments connecting points A and D and points A andis.
Take a screenshot of your image, save it, and insert the image in the space provided

Answers

Answer:

This is what I put ! I got an A! (Although the extra rays I don't think are needed)

Step-by-step explanation:

The figure is attached below

What is Tangent?In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. A tangent of a circle is defined as a straight line that touches or intersects the circle at only one point. A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it.

How to solve this problem?

The steps are as follow:

Create a circle with a center at point A with a radius of your choice.Now create a point outside of circle A, and label it point B. Draw a line segment connecting points A and B. Find the midpoint of line segment AB, and label it point C.Using point C as the center, create a circle that passes through point A.Circle A and circle C intersect at two points. Find these intersection points, and label them points D and E.Draw rays from point B through point D and from point B through point E. Also draw line segments connecting points A and D and points A andis.

From the above steps we have drawn the figure which is attached below

Learn more about tangent here:

https://brainly.com/question/4470346

#SPJ2

Porfavor ayúdenme...

Answers

Answer:

oui,12 Crais Una vez Al mes

Simplify: 90 - 5 (19 + 17-1-26)​

Answers

Answer:

QUESTION:

Simplify: 90 - 5 (19 + 17-1-26)​

ANSWER:

45

Step-by-step explanation:

I hope that this helps you out! :)    

Have a great rest of your day/night!    

Please thank me on my profile if this answer has helped you out.

HOW LONG IS PQ?
special right triangles khan academy

Answers

Answer:

Step-by-step explanation:

The side opposite to the angle 30 degree in right triangle is half of hypothenuse.

x^2 +10x+21 factor this

Answers

Answer:

(x+3)(x+7)

Step-by-step explanation:

3 and 7 are factors of 21, and they add up to 10.

This figure was broken into a triangle and a parallelogram as shown. Use the figures to complete the statements. The height of the triangle his in. The area of the triangle is vin.? The area of the parallelogram is in. 2 ? The area of the irregular figure is in. 2. ? h 22 in. 8 in. 10 in. Nin. 8 in. 8 in.​

Answers

Answer: Use the figures to complete the statements.

The height of the triangle h is

✔ 12

in.

The area of the triangle is

✔ 48

in.2.

The area of the parallelogram is

✔ 80

in.2.

The area of the irregular figure is

✔ 128

in.2.

Step-by-step explanation: I js now got it right by the power of guessing

Bruce collects coins. He collected a total of 125 coins. If 68% of the coins he collected were foreign,
how many other coins did he collect?
Bruce collected coins that were not foreign.
(Type a whole number.)

Answers

Answer:

40

Step-by-step explanation:

100 - 68 = 32

32/100 = ?/125

125 x 32 = 4,000

4,000 ÷ 100 = 40

the answer to this equation is 40!

Find the measures of all the interior angles of the non-convex figure below.

Answers

Answer:

angle 3x = 78°

angle opposite (4x + 30) = 226°

Step-by-step explanation:

It has 6 sides, so:

total interior angles sum = (180° x 6) - 360° = 720°

720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°

combine like terms:

720° = 3x + 416° + (360° - 4x - 30°)

720° = -x + 746°

x = 26°

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

<5,2>

Step-by-step explanation:

Four boxes hold 36
apples. How many
apples are in 9 boxes?

Answers

Answer:

86 apples

Step-by-step explanation:

Hope this helps and have a great day!!!!

the nswer is 81 36/4=9

9x9=81

What does x equal
3х – 4 = 8 + 2х

Answers

Answer: x = 12

Step-by-step explanation:

First, we have to add 4 on both sides of the equation to combine like terms:

3х – 4 (+4) = 8 (+4) + 2х

3x = 12 + 2x

Now we subtract 2x on both sides of the equation, which leaves x by itself:

3x (-2x) = 12 + 2x (-2x)

x = 12

If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.

Answers

Answer:

1 in 144

Step-by-step explanation:

There is one 8 on a 12-sided die, so the probability of rolling an 8 once is [tex]\frac{1}{12}[/tex].

We are rolling twice, so [tex](\frac{1}{12})^{2} =\frac{1}{144}[/tex].

Please help meeeeeeeeeeeeeeeeeeeee​

Answers

67 but why couldn’t u just use a calc

Answer:

64 g

Step-by-step explanation:

Lets gather the Info

Amount needed = 161 g

Amount given = 97 g

Lets form an equation:

161 - 97 = x

x in this case is the number of grams needed to fulfill the amount needed.

161 - 97 = 64 g

He needs 64 g of cheese.

If my answer is wrong pls correct me.

If you like my answer and explanation pls mark me as brainliest.

-Chetan K

n airline company charges the following baggage fees: $25 for the first bag and $35 for the second (i.e., you pay $60 if you check two bags). Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. About how much revenue should the airline expect for a flight of 120 passengers

Answers

Answer:

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Step-by-step explanation:

For each passenger:

54% of passengers have no checked luggage, that is, 54% probability of no revenue.

34% have one piece, that is, 34% probability of $25 revenue.

12% have two pieces, that is, 12% probability of $60 revenue.

The expected revenue for a single passenger is:

[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]

For 120 passengers

15.7*120 = $1,884

The airline should expect a revenue of $1,884 for a flight of 120 passengers

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