Find the area of the following figure​

In algebra, the vertex form of a quadratic equation is a way of expressing the equation in the form:[tex]y = a(x - h)^2 + k[/tex]

where (h, k) is the vertex of the parabola defined by the equation. The value of 'a' determines whether the parabola opens up or down and the value of 'h' and 'k' determine the position of the vertex on the coordinate plane.

For example, the standard form of a quadratic equation is:

[tex]y = ax^2 + bx + c[/tex]

To convert this to vertex form, you would first complete the square to get all the terms of x on one side of the equation and a constant on the other side. Then, you would put the equation in the form shown above.

So, given the equation [tex]y = 3x^2 + 6x - 4[/tex], we can complete the square to get:

[tex]y = 3(x^2 + 2x) - 4[/tex]

then rearrange it to

[tex]y = 3(x^2 + 2x + 1) -7 = 3(x+1)^2-10[/tex] which is in vertex form with vertex (-1,-10)

The vertex form of a quadratic function provides a convenient way to quickly identify the vertex of the parabola without having to complete the square every time.

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The correct question is:

Explain vertex form.

Answer:

1.) True

2.) True

3.) False

4.) True

Hope this helps!

Answer:

a) 15m²

b) 750cm³

Step-by-step explanation:

(3+2)/2=5/2=2.5

2.5x6=15

a) 15m²

1/20=x/15

15=20x

x=15/20

x=3/4 = 0.75

1 liter is 1000cm³

1000x0.75

b) 750cm³

Choices that is equivalent to the expression √5. √20 is 5.2

In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

x= (5)^1/2*(20)^1/2

x= (5)^1/2*(2.2.5)^1/2

x=5.2

So B is the correct option.

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The half life of the iodine is obtained as 6.2 s.

Let us recall that the half  life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.

Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;

Half life = 0.693/K

Half life = 0.693/0.1113

Half life = 6.2 s

It would have the half life about 6.2 s.

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Answer:

40 Post-it notes

Step-by-step explanation:

10/2 = 5 on the side that measures 10"

16/2 = 8 on the side that measures 16"

5 x 8 = 40 post-it notes

Answer:

40

Step-by-step explanation

area of whiteboard is [tex]160 inches^{2}[/tex]

area of post it is [tex]4 inches ^{2}[/tex]

160/4 is 40 post it notes

Answer:

B

[tex]circumference = \pi \: d \\ = 3.14 \times 20 \\ = 62.8 \: inches[/tex]

Answer:

35ft squared

Step-by-step explanation:

First lets try solving the rectangular middle part

Width is 3 ft

Height is 5ft + 4ft = 9ft

3*9ft= 27ft. This is area of middle rectangular section

For the triangle, we subtract 3 from the rectangle from 11ft and divide by 2 because the two triangle on the edges are the same.

11-3=8

8/2=4

Triangle area formula = Base*Height / 2

4*4/2

16/2

4ft squared

and the other triangles area is also 4ft squared because they are congruent. So you add all the sections of the area up

27ft+4ft+4ft=35ft squared

35ft squared is the answer.

Hope this helps :)

Anwnser:

1...3

Step-by-step explanation:

i dont know how to explain Hope it helps

Answer:

hi

Step-by-step explanation:

4       0 8 9

5       2 5

6       4

7       0 1 2 2 8 8 9

8       7 9

the true statements for 8u + 5 + 3v are:

1.) 8u+3v+5 is written as a sum of three terms.

4.)5 is a constant.

The word "constant" in mathematics has several different connotations. When used as a noun, it can have either of the following two meanings: Non-variance (i.e., not changing in relation to some other value) or Variance.

an unchanging number or other non-changing mathematical object that is fixed and well-defined. Sometimes, to distinguish between these two meanings, the terms mathematical constant or physical constant are used.

a function with a constant value (i.e., a constant function).

These constants are frequently represented by a variable that is independent of the main variable or variables in question.

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Answer:

66.14inches

Step-by-step explanation:

pyhtgreom therom

75^2+b^2 = 100^2

5625 + b^2 = 10,000

subtract both sides by 5625

b^2 = 4375

square root both sides

b = 66.14

Step-by-step explanation:

B.12x + 1

if it helps brainiest lol

1) The equation of a line of best fit is; y = -1.15x + 102.8

2) The predicted monthly cost for an average temperature of 25°F is $74.05

The equation of a line of best fit is represented by the equation;

y = mx + c

where;

m is the slope

c is the y-intercept

1. To calculate the slope here, we will use the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;

Slope (m) = (80 - 20)/(20 - 72)

Slope = 60/-52

Slope = -1.15.

Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;

20 = -1.15(72) + c

c = 20 + 82.8

c = 102.8

The equation  will now be;

y = -1.15x + 102.8

2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;

y = -1.15(25) + 102.8

y = 102.8 - 28.75

y = $74.05

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Answer:

Step-by-step explanation:

-1 +2=1

2+2=4

5+1=6

Mary paid $3.80 per pound and Mark paid $4.00 per pound.

19 ÷ 5 = 3.80

16 ÷ 4 = 4

Mary's unit rate is less than Mark's unit rate.

To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.

Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:

The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased

= $19 / 5 pounds

= $3.80 per pound

Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:

The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased

= $16 / 4 pounds

= $4.00 per pound

Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.

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Answer:

Step-by-step explanation:

Marina,  everyone has a tough time with this type of math problem,   just send me a note if you get stuck on these.   :P

You're given two points,  

P1 = (-4,8)  in the form (x1,y1)

P2 = (1,3)   in the form (x2,y2)   ( I made the forms, so can you )

slope = m

m = (y2-y1) / (x2-x1)

m = (3-8) / ( 1 - (-4))

m = -5 / (1 + 4)

m = -5 / 5

m = -1

now use the point-slope formula

y-y1=m(x-x1)

y-(8) = -1(x-(-4))

y-8 = -1(x+4)

y-8 = -x -4

y = -x-4+8

y = -x +4

That's the equation  :P

Answer:

The decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.

At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:

[tex]H_0: \mu = 410[/tex]

At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:

[tex]H_0: \mu < 410[/tex]

Type of test:

As we test if the mean is less than a value, we have a left-tailed test.

We have the standard deviation for the sample, which means that the t-distribution is used.

We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.

Using a calculator, the critical value is [tex]t_c = -1.721[/tex]

Determine the decision rule for rejecting the null hypothesis.

We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]

Answer:

10/50 = 20/100

Step-by-step explanation:

Another way to represent this formula is:

[tex]\frac{is}{of} = \frac{percent}{100}[/tex]

Allow me to explain this to you.

What is 20% of 50?

"WHAT IS"

"20% (PERCENT)"

"OF 50"

[tex]\frac{x}{50} =\frac{20}{100}[/tex]

The variable, x, was used to replace the unknown value, which is 10.

To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.

In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

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Answer:

C) 60°

Step-by-step explanation:

Each side of the triangle is a radius of the circle.  Since all three sides are equal, it’s an equilateral triangle, so they are all 60° angles.

Answer:

(x+6)^2 + (y-4)^2=36

Step-by-step explanation:

E2020

Answer:

Diameter = 33 feet

Step-by-step explanation:

Diameter = 2 x radius

Given that the volume = 18174 [tex]ft^{3}[/tex], then;

Volume of sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius of the sphere.

Thus,

18174 = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]r^{3}[/tex]

         = [tex]\frac{88}{21}[/tex] [tex]r^{3}[/tex]

18174 x 21 = 88 [tex]r^{3}[/tex]

381654 = 88 [tex]r^{3}[/tex]

[tex]r^{3}[/tex] = [tex]\frac{381654}{88}[/tex]

   = 4336.9773

r = [tex]\sqrt[3]{4336.9773}[/tex]

r = 16.3078

The diameter of the sphere = 2 x 16.3078

                                              = 32.6156

                                              = 33 feet

Answer:

-5/4

Step-by-step explanation:

slope(m)= y2-y1/x2-x1

from the graph 5-0/-2-2

=5/-4

answer = -5/4

On solving the provided question, we can say that - the percentage value of 12 % of 90 = 10.8

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

12% of 90 = 12/100 X 90

= 0.12 X 90 = 10.8

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Answer:

Step-by-step explanation:

Y WILL BE 11 THATS ALL I KNOW

Answer:$5.07

Step-by-step explanation:you are welcome

Brendon paid $5.075 in total.

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, Brendon bought an iced tea that cost $4.06 plus 7% sale tax if Brandon left on 18% tip on the $4.06

The total he pay =

= 7% of 4.06 + 18% 0f 4.06 + 4.06

= 0.2842+0.7308+4.06

= 5.075

Hence, Brendon paid $5.075 in total.

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