The process of completing the square

Answer:

See attached diagram

Step-by-step explanation:

See attached picture....I assumed -3% was really just -3

Answer:

the answer simplified is 24

Step-by-step explanation:

Answer:

201.06193

Step-by-step explanation:

The first step to the proof is ∠QRS + ∠STQ = 180°

A cyclic quadrilateral is a quadrilateral circumscribed by a circle in which all the vertices of the quadrilateral touch the circle.

Analysis:

Join line Qx and Sx together.

2∠QRS = reflex ∠QxS ( twice angle at the circumference is that at center)

2∠STQ = ∠QxS( twice angle at circumference is that at the center)

Also ∠QXS + reflex ∠QXS = 360(angle at a point)

2∠QRS + 2∠STQ = 360

2(∠QRS + ∠STQ) = 360

∠QRS + ∠STQ = 180°

In conclusion, ∠QRS + ∠STQ = 180°

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Answer:

Step-by-step explanation:

Answer:

A. Yes they do. Both equations have their opposing set of y-intercept. Where equation one has a y-intercept of +7, and equation two, +7.

B. No they do not. Equation one has a slope of +3, while equation 2 has a slope of -4.

C. Yes they do. Equation one represents that of a positive increasing graph, while equation two the opposite, decreasing.

Step-by-step explanation:

You can use the slope formula to identify and graph each equation simply by using y = mx + b. Where y is the the y coordinate, x is the x coordinate, m is the slope, and b is the y-intercept. With this you can start plotting by marking the y-intercept by putting the x as zero and seeing what number you get. In this case, 3x0-7 = -7. Meaning that would be the y-intercept. For the slope, depending on what the x coordinate is, that's how much the graph will increase or decrease whenever the x coordinate changes. Say the x coordinate is 1, so 3x1-7 = 3-7 = -4. Meaning your coordinate would be (1, -4) where you can keep doing this formula on and on to find the y coordinate for what x coordinate you want to find, or make it easier to graph with a ruler on paper once you have enough points.

Answer:

Answer = 5.5

Step-by-step explanation:

The formula for finding the surface area of a cube is SA = 6(s^2) where s = sides. Since we know the surface area we plug it in for SA. So,

181.5 = 6*s^2

Now we divide 6 by both sides to get

30.25 = s^2

Now we have to find the square root of both sides to get

5.5 = s

Hope that helps! :)

The linear function that you could use to find the number of weeks it would take to reach your goal is:

35n + 100 = 800.

A linear function is modeled by:

y = mx + b

In which:

From the table, we have that:

Hence the balance after n weeks is given by:

B(n) = 100 + 35n.

You will have $800 when B(n) = 800, hence the equation is:

35n + 100 = 800.

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Answer:

  (a)  3 must be factored from 3x^2 + 9x

Step-by-step explanation:

The first step when rewriting a quadratic from standard form to vertex form is to factor out the leading coefficient from the variable terms.

__

  y = 3x^2 +9x -18 . . . . . . given

  y = 3(x^2 +3x) -18 . . . . . leading coefficient factored out

  y = 3(x^2 +3x +2.25) -18 -3(2.25) . . . . . complete the square

  y = 3(x +1.5)^2 -24.75 . . . . . simplify to vertex form

Answer:

3rd one

Step-by-step explanation: I am pretty sure becuase the other ones don't sound right hope this helps :)

Step-by-step explanation:

I made the added things green so you can understand better what I did to get the right answer. If you have any questions you may text me

Answer:
1. 62 ( 8X8 ) -2
2. 13 ( 10 + 3)
3. 6  ( 4 + 2 )
4. 18 (22 - 4)
5. 3  ( 6/2)
6. 14 (7+7)

Step-by-step explanation:

Next question pls !
It just plain simple add , multiplication , division and subtraction

Pls Do what as you written ! Mark me as Brainly for 100% correct !! Alr helped

Answer:

4,069.44 in squared

Step-by-step explanation:

pir^2

72/2 = 36

36^2 = 1,296pi

1,296*3.14 = 4,069.44

Answer: 100

Step-by-step explanation:

Answer:

35cm

Step-by-step explanation:

The ratio of width:length is 10/19. Since the given length is 66cm long, we multiply by the ratio to get 66 x 10/19 = 34.7 = 35cm

Answer:

A I might be wrong do

Step-by-step explanation:

If its radius measures 15 units. Then the height of the cone will be 53 units.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The volume of a right cone is 3975π cubic units.

If its radius measures 15 units.

Then the height of the cone will be

The volume of the cone is given as

Volume = 1/3 x π x r² x h

Then we have

3975π = 1/3 x π x 15² x h

 11925 = 225 x h

        h = 53 units

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The answer is 5:2 ration, it's already fully simplified

Answer: Heyaa!

The Answer, x= −4

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Hopefully this helps you~

- Matthew :)

have an amazing day <3

Answer:

X = - 4

Step-by-step explanation:

3(2x+8) =0

6x + 24 = 0

6x = 0 - 24

6x = - 24

X = - 24/6

X = - 4

Hope this helpssssss

======================================================

Explanation:

There are at least three ways to solve this.

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Method 1:

We could graph y = (x-2)(x+10) using a tool like Desmos. Graph y = 13 as well which is a horizontal line.

Check out the screenshot shown below.

The parabola in red and the horizontal line in blue intersect at the locations (-11, 13) and (3, 13)

We only focus on the x coordinates of the intersection points.

Therefore, the two solutions are x = -11 and x = 3

The order of the solutions doesn't matter.

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Method 2:

Expand things out and get everything to one side

(x-2)(x+10) = 13

x^2 + 10x - 2x - 20 = 13

x^2 + 8x - 20 - 13 = 0

x^2 + 8x - 33 = 0

From here we can use the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-8\pm\sqrt{(8)^2-4(1)(-33)}}{2(1)}\\\\x = \frac{-8\pm\sqrt{64+132}}{2}\\\\x = \frac{-8\pm\sqrt{196}}{2}\\\\x = \frac{-8\pm14}{2}\\\\x = \frac{-8+14}{2} \ \text{ or } \ x = \frac{-8-14}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{-22}{2}\\\\x = 3 \ \text{ or } \ x = -11\\\\[/tex]

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Method 3:

Instead of using the quadratic formula, we could factor.

To factor x^2+8x-33, we need to find two numbers that

Through trial and error, you should get 11 and -3

So,

x^2+8x-33 = 0

(x+11)(x-3) = 0

x+11 = 0 or x-3 = 0

x = -11 or x = 3

Answer:

Step-by-step explanation:

The range is the difference between the maximum and minimum values:

The mode is the most repeated value of the data set

Answer:

I attached a screen shot of the answer

Step-by-step explanation:

Answer:

5% = 8

Step-by-step explanation:

Since 10% of a number is 16, multiply that by 10 to get 160. In order to get 5%, divide 10% (16) by 2 to get 8, which is 5% of 160.

Step-by-step explanation:

A=X AB=ZX

B=Z. AC=XY

C=Y. BC=YZ

Traingle BCA = Traingle ZYX

Answer:

3 gallons

Step-by-step explanation:

1/6+1/6=2/6=1/3

1/3x3=3/3=1

Answer:

18x

Step-by-step explanation:

18x times 18x

so the side is 18x because it was squared

Answer:

50

Step-by-step explanation:

fr the question,

35 students----------------70%

x students-------------------100%

cross multiplying

x ×70 = 35×100

dividing bothsides by 70

x = 3500/70

x=50 students

therefore,

there are 50 students in the class

Using proportions, it is found that the correct statement is given by:

C There were 56 more people who ate a turkey sandwich than ate a chicken sandwich.

A proportion is a fraction of a total amount.

In this problem, one third out of 840 people ate Turkey Sandwich, hence the number is given by:

nT = 840/3 = 280.

One sixth ate Vegetarian Sandwich, hence the number is given by:

nV = 840/6 = 140.

4/15 ate Chicken Sandwich, hence the number is given by:

nC = 4 x 840/15 = 224.

7/30 ate Salad, hence the number is given by:

nS = 7 x 840/30 = 196.

Thus, option C is correct.

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Using exponential function concepts, it is found that the common ratio would be given by 0.989.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, the amount decays 1.1% a year, hence:

The common ratio would be given by 0.989.

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Answer: C

Step-by-step explanation:

Trust