What is the area of the shaded region below in factored form?

The expression which can be used to find the solutions of the given equation is option (a) [5 ± √81] / 4.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

The given quadratic equation is,

2x² - 5x - 7 = 0

The solutions of a quadratic equation can be found using the quadratic formula.

Quadratic formula for ax² + b x + c = 0 is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a, where [tex]\sqrt{b^2-4ac}[/tex] is called discriminant.

From the given equation,

a = 2, b = -5 and c = -7.

Solution can be found as,

x = -(-5) ± [tex]\sqrt{(-5)^2-(4*2*-7)}[/tex] ] / (2 × 2)

  = [5 ± √(25 + 56) ] / 4

  = [5 ± √81] / 4

Hence the solution can be found as [5 ± √81] / 4.

Learn more about Quadratic Equations here :

https://brainly.com/question/11540485

#SPJ2

Answer:

#3

Step-by-step explanation:

9514 1404 393

Answer:

  21.25

Step-by-step explanation:

The Pythagorean theorem tells you the length of hypotenuse c of a right triangle with legs 'a' and 'b' is ...

  c = √(a² +b²)

Here, that means the diagonal length d is ...

  d = √(17² +12.75²) = √(289 +162.5625) = √451.5625

  d = 21.25 . . . . length of the diagonal

Answer:

13x+16

Step-by-step explanation:

3x+7+8x+2x+4+5

13x+7+4+5

13x+16

Answer:

DISCLAIMER:I'M NOT REALLY GOOD AT MATH

Surface area=¶r squared.

¶=3.14

Radius=D/2

=10/2

5

therefore,3.14×5×5

=78.5

Answer:

53

Step-by-step explanation:

Because

Answer:

I don't know how to do it the subject

Answer:

110

Step-by-step explanation:

Hello There!

If you didn't know the rule about angles in a triangle is that they have a sum of 180

So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180

so the missing angle = 180 - 30 - 40

180 - 30 = 150

150 - 40 = 110

so the missing angle = 110

B

Step-by-step explanation:

Answer:

.72 or 1

Step-by-step explanation:

it is .72 in decimals but if you wanna round up to a whole number it's 1

Answer:

(x - 2)² + y² = 9

Step-by-step explanation:

Answer:

not completely accurate but about 40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

since there are 8 words, do 8x5 which would be 40%

hope this helps!

please give me brainliest :)

Answer:

The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.

Select the answers from the drop-down menus to complete the statements.

The mean apples picked decreases because of the outlier.

The median apples picked decreases because of the outlier.

The range increases because of the outlier.

Step-by-step explanation:

The mean apples picked decreases because of the outlier.

The median apples picked decreases because of the outlier.

The range increases because of the outlier.

A dot plot, also called a dot chart, is a sort of simple histogram-like chart used in statistics for very small data sets where values fit into a number of discrete bins. To create a dot plot, count the number of data points in each bin and draw a stack of dots with that number of dots on top for each bin.

The number of apples gathered by a household is represented by the dot plot. Describe how the data outlier influences the statistical summary of the data.

To finish the statements, choose the appropriate answers from the drop-down menus.

Because of the outlier, the average number of apples picked lowers.

Because of the outlier, the median number of apples chosen falls.

Because of the outlier, the range expands.

Learn more about dot plot here:

https://brainly.com/question/22746300

#SPJ2

Answer:

7.5

Step-by-step explanation:

hey hope this helps and is right

Answer:

Gym A gets 52 people per week and Gym B gets 62 people per week. So, Gym B is growing faster.

Step-by-step explanation:

To find the average membership in Gym A is simple. To get 72 to 124, we need to subtract them getting 52, this is the same for the other weeks. So, Gym A gets 52 members per week. Gym B is a bit more complex, each week has to be constant so subtract 204 by 80 and you get 124. Divide 124 by 2 because the difference between Week 1 to 3 is 2. Then we get 62 some Gym B gets 62 average members per week. Hope this helps. Gym A gets 52 people per week and Gym B gets 62 people per week. So, Gym B is growing faster.

Gym A gets 52 people per week and Gym B gets 62 people per week hence, Gym B is growing faster.

The average can be calculated by dividing the sum of observations by the number of observations.

To determine the average membership in Gym A is simple.

Therefore, to get 72 to 124, we need to subtract them getting 52, this is the same for the other weeks.

Gym A gets 52 members per week. Gym B is a bit more complex, each week has to be constant so,

204 -80 = 124.

Now Divide 124 by 2 because the difference between Week 1 to 3 is 2.

Then we get;

62 some Gym B gets 62 average members per week.

Hence, we can conclude that Gym A gets 52 people per week and Gym B gets 62 people per week.

Learn more about average here;

https://brainly.com/question/27851466

#SPJ3

1. The hormone that results in diabetes mellitus when it is deficient is insulin.

2. The organ that secretes insulin is the pancreas.

3. Two other hormones that influence the glucose level of the blood are:

1. Glucagon: It is produced by the alpha cells of the pancreas and increases blood glucose levels by promoting the breakdown of glycogen in the liver.

2. Cortisol: It is produced by the adrenal glands and helps regulate glucose metabolism by promoting gluconeogenesis (conversion of proteins and fats into glucose) and reducing glucose uptake by peripheral tissues.

Learn more about Hormones here:

https://brainly.com/question/13020697

#SPJ1

Answer:The mean, or average, has the property that distances from the mean to the individual ... The measure of center where half the values of the data set lie above this ... The maximum value of a data set is 200 and the minimum value is 80. ... 25 b. 24 c. 100 d. 5 e. 120. e. 120. A factorial is the product of all number from 1 to n.

Step-by-step explanation:

Answer:

B. Half the data values are greater than 100.

Step-by-step explanation:

The median is just another way to say the number in the middle.  So if in the whole group of numbers 100 is in the middle, that means that half of the numbers will be bigger than 100, and half of the numbers will be smaller than 100.

Answer:

Step-by-step explanation:

UV=(-9–(-2)),(-3–(-6))

UV=(-9+2),(-3+6)

UV=(-7,3)

I think you find the change in the x and y components.

Answer:

1

Step-by-step explanation:

9/10+1/10=(9+1)/10=10/10=1

Answer:

1

Step-by-step explanation:

you can add the two fractions since they have a common denominator. 9/10 + 1/10 = 10/10

any number divided by itself is equal to 1

Answer:

everyone

Step-by-step explanation:

Answer:

m2 =1/4

Step-by-step explanation:

m1 . m2 = 1

m1 is given 4 then

4.m2 =1

4.m2/4 =1/4

m2 = 1/4

Hello there!

The slopes of perpendicular lines are opposite reciprocals.

So, if one line has a slope of 4, then the slope of the line perpendicular to it is the opposite of 4 flopped over (-1/4)

And we're done! Hope it helps you!

If you have any questions, feel free to ask!

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

don't listen to the other person

Step-by-step explanation:

Answer:

DL/dt = 17 mph

Step-by-step explanation:

The ships and the port shape a right triangle

Ship  going west ( x-direction)   is traveling at 15 mph

Ship going north  (y-direction) is traveling at 10 mph

The distance L between ships is:

L²  = x² + y²

Tacking derivatives on both sides of the equation with respect to time

we get

2*L*DL/dt = 2*x*Dx/dt  + 2*y*Dy/dt    (1)

In that equation we know:

Dx/dt  = 15 mph

Dy/dt  = 10 mph

At the moment  ship traveling from the east is at 3 miles from the port

then x = 3 m  and the other ship is at 4 miles north

then by Pythagoras theorem

L = √ 3² + 4²    L = 5

By substitution in equation 1

2*5*DL/dt  = 2*3*15 + 2*4*10

10* DL/dt  =  90  +  80

DL/dt = 170 / 10

DL/dt = 17 mph

Answer:

9w+9

Step-by-step explanation:

width = (18w+18)/2

18(w+1)/2

9(w+1) = 9w+9

Answer:

2

Step-by-step explanation:

To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.

Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.

130 + 2 = 132, meaning the answer is 2.

You're welcome!

The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Formula for mean is;

Mean = Sum of numbers/sample size

We are given;

Mean = 13

Sample size = 10

Thus, sum of numbers = 13 × 10 = 130

Now, we want to add an eleventh number so that the mean will be 12.

Thus, n = 11

12 = (130 + x)/11

Cross multiply to get;

12 * 11 = 130 + x

x = 132 - 130

x = 2

Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Read more at; https://brainly.com/question/6995725