Mathematics High School

Q8. Look at the image.

Answers

Answer 1

Answer:

Option B

Step-by-step explanation:

Quadratic equation given in the question is,

[tex]x^2+4x+2=0[/tex]

By comparing this equation with the standard quadratic equation,

[tex]ax^2+bx+x=0[/tex]

[tex]a=1,b=4[/tex] and [tex]c=2[/tex]

By using quadratic formula to get the roots of the given quadratic equation,

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

By substituting the values of a, b and c in the formula,

[tex]x=\frac{-4\pm\sqrt{4^2-4(1)(2)}}{2(1)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16-8}}{2}[/tex]

[tex]x=\frac{-4\pm\sqrt{8}}{2}[/tex]

[tex]x=\frac{-4-\sqrt{8}}{2},\frac{-4+\sqrt{8}}{2}[/tex]

[tex]x=-3.414,-0.5857[/tex]

[tex]x=-3.41,-0.59[/tex]

Therefore, Option B will be the answer.

Related Questions

I need help with this please

Answers

Answer:

x = 4

y = 10

Step-by-step explanation:

3x + 2y = 32 (Multiply this equation by -3)

9x - 3y = 6

-9x - 6y = -96

9x - 3y = 6

-9y = -90

y = 10

3x + 2y = 32

3x + 2(10) = 32

3x + 20 = 32

3x = 32 - 20

3x = 12

x = 4

Ken makes a plan before writing a proof to show that the opposite angles of the
quadrilateral are congruent. What is missing from his plan?

Answers

Answer:

Step-by-step explanation:

Question 17 of 25
What is the probability of flipping a coin 10 times and getting tails 8 times?
Round your answer to the nearest tenth of a percent.
O A. 4.4%
B. 1.0%
OC 20.5%
D. 11.7%

Answers

Answer:

Step-by-step explanation:

10 ÷ 8

=0.8

≈1% probability

What is the correct theorem?

Answers

SAS because its is side angle side for both of them

Answer:

SSS (Side-Side-Side)

Step-by-step explanation:

It is given that PS ≅ RQ. Shown by congruency symbols, PR ≅ RQ. Lastly, QR ≅ QR due to the reflexive property.

Due to all three sides between the two triangles being congruent, you can conclude that they are congruent by SSS, or Side-Side-Side.

Share £20 in the ratio 2: 3
5

Answers

it would be 15% and 25%

What is the solution of x + 6 < 5?

Answers

Answer:

Step-by-step explanation:

Answer:

x < -1

Step-by-step explanation:

Hope this helps you :)

A circle has a center at A (4,5), Determine the radius of the circle given two end points of the circle are B (9,5) and C (-1,5)

Answers

ANSWER :

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r". This form of the equation is helpful, since you can easily find the center and the radius.

HELP PLEASE. !!!!!!

Answers

Answer:

Step-by-step explanation:

If A and B are mutually exclusive, and if P(A) = 23% and P(B) = 16%, what is P(A or B)?
P(A or B)=[%

Answers

Answer:

P(A or B) = 39%

Step-by-step explanation:

If A and B are mutually exclusive, they cannot occur at the same time, therefore their probabilities are added. This means P(A or B) = P(A) + P(B) = 23% + 16% = 39%

Correct I’ll give brainlist no links or I’ll report

Answers

It’s the second one…………..

math help pls! i’m not sure how to solve this

Answers

Answer:

-sin(x)

Step-by-step explanation:

im not sure what the 'difference quotient' means, but the derivative of cos(x) is just -sin(x).

How many solutions does ax? - bx+c=0 have if
62 4ac < 0?
O A. one solution
O B. no real number solutions
O C. two solutions
O D. three solutions

Answers

B. No real number solutions

Which expressions are equivalent to the one below? Check all that apply log2-log4

Answers

Answer:

-log(2)

Step-by-step explanation:

A jet ski can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers?

Answers

Answer: 1.86 gallons

Step-by-step explanation:

A jet ski can go 50 miles using one gallon of gas. To find the number of gallons needed for 150 kilometers, first convert kilometers to miles:

1 mile = 1.60934 kilometers

150 kilometers will be:

= 150 / 1.60934

= 93.2059 miles

If a jet ski can go 50 miles on one gallon, the number of gallons required for the above is:

= 93.2059 / 50

= 1.86 gallons

PLEASE HELP ME AND NO VIRUS LINKS 40 POINTS

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

All the above

Animal scientists studied foraging behavior of the scrub lizard, found in central Florida. Foraging is the process of searching for food. To study such behavior, the scientists recorded the number of head movements per minute for a sample of 63 lizards. A 95 percent confidence interval constructed from the sample is given as 2.7±0.62 head movements per minute. Based on the interval, is a claim of 3 head movements per minute plausible?

Answers

Answer:

The answer is "The claim is plausible because 3 head movements per minute are contained within the interval".

Step-by-step explanation:

The wet-growing process of creation, located in western Florida, is researched by animal researchers. Food production is the process of finding food. The researchers had collected a sampling of 63 lizards with the number of head motions per minute to investigate such behavior. The sample-based confidence interval of 95% is given as hand gestures of 2.7±0.62 per minute. Depending on the interval, a statement of 3 hand gestures is plausible per minute then within the interval, there have been three head motions per minute.

Determine the period.

Answers

A period is how long it takes the function to repeat itself. Usually measured from one peak to the next.

In this case the period is 7 units

What is the missing measurement

Answers

Answer:

110

Step-by-step explanation:

HELP ME DEAR GOD-

Let H be the event that a coin flip lands with heads showing, and let T be the event that a flip lands with tails showing. (Note that P(H) = P(T ) = 0.5.) What is the probability that you will get heads at least once if you flip the coin ten times? Let A be the probability that heads appears at least once and B be the probability that heads does not appear.

If you flip the coin 10 times the probability you will get a heads at least once is ???

Answers

Answer:

The probability you will get a head at least once is 50%.

Step-by-step explanation:

Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.

A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.

So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.

could someone please answer only 22 for me please, don’t understand

Answers

Answer:

p = 10

Step-by-step explanation:

3p + 10 + 5p = 90

8p + 10 = 90

90 - 10 = 80

80 / 8 = 10

The diagram shows a pyramid with a rectangular base. The volume of the pyramid is 108cm^3.

What is the length of the base edge labeled x?

1. 2cm
2. 6cm
3. 18cm
4. 30cm

Answers

The correct answer is 6 cm

Answer:

Solution given:

Volume of pyramid=108cm³

area of base*height=108cm²

6*x*3=108

x=108/18

x=6

option2:6cm

Find the circumference of a circle with a radius of 100 centimeters.

Answers

Answer:

your answer is 628.32cm :)

Answer: I think it is 628.32

Step-by-step explanation: You have to multiply the radius by two to get the diameter and then multiply that by 3.14(PI)

100 x 2=200

3.14 x 200=628.32

Which ratio is equivalent to 1 to 8?
7 to 14
7 to 9
6 to 41
6 to 48

Answers

6 to 48 simplified

it becomes 1 to 8

so the answer is 6 to 48

plz mark as brainliest

I think the answer is 7 to 14

Hey guys I need help asap

Answers

First subtract the 12y and the 8x, multiply each side by 5. When you divide it both you will get the answer.

charlies goal is to sell an average of 18 cars each month this year. this table shows how many cars he sold each month from january to november. how many cars does charlie need to sell in december in order to meet his goal of a mean of 18 cars per month?

A. 17
B. 19
C. 26
D. 28

Answers

Answer: C-26

Step-by-step explanation: First you need to figure out how many total cars he needs to sell through the year by multiplying 12 by 18. This should get you 216. Now, we need to add all of his actual stats that we have so far to get a total of 190 cars sold. We know he needs 216 total by the end of the year, so we just have to subtract 190 from 216 to get our answer, 26.

If 7 cans of dog food sells for $4.13, how much will 12 cans sell for?
12 cans = $ ????

Answers

Answer:

$7.08

Step-by-step explanation:

I'm pretty sure it correct but if not sorry

Answer:

12 cans = $49.56

12 cans x 4.13 = $49.56

Step-by-step explanation:

identify the center and radius of the circle (x-7)^2+(y-11)^2=36

Answers

Answer:

Centre is [tex](7,11)[/tex]

Radius is [tex]6[/tex]

Step-by-step explanation:

The general equation for a circle is written in the form [tex](x-a)^2+(y-b)^2=r^2[/tex] , where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius.

For your circle, [tex](x-7)^2+(y-11)=36[/tex], we can compare it with the general equation to find the centre and radius.

[tex]-a = -7[/tex]

[tex]-b = -11[/tex]

[tex]r^2 = 36[/tex]

Therefore, [tex]a=7[/tex], [tex]b=11[/tex] and [tex]r=6[/tex].

Centre at [tex](a,b)[/tex] which is [tex](7,11)[/tex] .

Someone plz help me

Answers

Answer:

C - Triangle, Pentagon, Hexagon, Decagon

Step-by-step explanation:

Triangle - 3 sides

Pentagon - 5 sides

Hexagon - 6 sides

Decagon - 10 sides

From Least to greatest!

what percent of 16 is 120

Answers

The Answer would be 13.333333333333% or 13.3%.

PLEASE HELP ASAPPPP ( NO LINKS )

Answers

Answer:

i & iii

ii & iii

2.5 or 5/2

12.9

11/4

I cant help u w/ this one

.424

.0082

Yes both their methods works.

Step-by-step explanation:

Trust me

Answer: Question 1 : x + 3 = 14 and x = 14 - 3

Question 2: y/5 = 60 and y = 60 x 5

Solve each eqaution

2x = 5 : answer : x = 5/2

y + 1.8 = 14.7 (subtract 1.8 on each side) : answer = 12.9

6 = 1/2z (combine terms) Answer 12

3 1/4 = 1/2 + W (Convert mixed numbers to improper fractions) answer = -1 9/13

2.5t = 10 : answer : 4

2.5t-(10)=0

t=10/2.5

(For 3 I can't draw the diagram asked. sorry)

21.2 - 0.82 = 20.38

2.05 x 0.004 = 0.00820.

Lin is right. Jada method 60 divided by 4 (1/4 of 60) which gives you 15. Andre method: 25/100 x 60 = 50.

Hoped this helped

Step-by-step explanation:

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