Write the equation of the parabola in standard form.
Calculation Tip: Multiply out the squared term and distribute.
y=3(x-1)^2+2

x = 4.28

[tex]Given,\ To\ find\ for\ x,[/tex]

[tex]Let\ c\ be\ the\ centre\ of[/tex]

[tex]Circle,\ where[/tex][tex]AD=22.4\ (Diameter)[/tex]

[tex]AC=\frac{22.4}{2}=11.2\ (radius)[/tex]

[tex]AB=8.8[/tex]

[tex]In\ \Delta\ ABC, Right\ angled\ at[/tex]

[tex]B.\ USing Pythagoras\ theovem[/tex]

[tex](AB)^2+(BC)^2=(AC)^2[/tex]

[tex](8.8)^2+(BC)^2=(11,2)^2[/tex]

[tex](BC)^2=125.44-77.44=48[/tex]

[tex]BC=\sqrt{48}=6.92[/tex]

[tex]E_c=x+y\ \ \ \ \(Where\ Fc\ is\ also\ radius\ of\ arcle[/tex]

[tex]\therefore\ \ \ \ \11.2=x+6.92[/tex]

[tex]x=11.2-6.92=4.28[/tex]

[tex]Hence,\ x=4.28\ is\ the\ answer.[/tex]

I hope this helps you

:)

Answer: 7

Step-by-step explanation:

The absolute value of -7 is 7 because to find the absolute value you take away the sign.

Answer:

75% of people own a dog.

Step-by-step explanation:

We apply the percentage formula in this problem

Total People * X/100 = Groups of people

Fill in the values

24 * X/100 = 18

We now Simplify the equation.

After simplifying you should get X=75, meaning 75% of people own a dog.

Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC

From the complete question, we have the following coordinates:

The dilation rule across the center P is:

(x, y) --> (1/3x – 1, 1/3y + 4)

So, the coordinates of the image of the triangle are:

A' =  (-1/3 * 4 – 1, 1/3 * 5 + 4)

A' =  (-7/3, 17/3)

B' =  (1/3 * 7 – 1, -1/3 * 7 + 4)

B' =  (4/3, 5/3)

C' =  (-1/3 * 2 – 1, 1/3 * 2 + 4)

C' =  (-5/3, 14/3)

From the above computation, the coordinates of the new triangle is:

A' =  (-7/3, 17/3)

B' =  (4/3, 5/3)

C' =  (-5/3, 14/3)

See attachment for the image of triangle ABC

Read more about dilation at:

https://brainly.com/question/16752437

Answer:

The Answer is C: [tex]y > x, y < 4[/tex]

Step-by-step explanation:

By looking at the graph the shaded area is the inequalities that you need to find.

[tex]y=4[/tex] is the lines on the y-axis. Below the y-axis is shaded [tex]y < 4[/tex].

From the [tex]y=x[/tex] is a linear line. Above the linear line is [tex]y > x[/tex]

Answer:

Son -- 10

Dad -- 30

Step-by-step explanation:

5  years ago the dad was 15 years older than his son.15 / 3 = 5. The son was 5 five years ago he would be 10 now because 5 years ago he was 5. Since the son is 10 the dad must be 30. I know this because the dad is 20 years older than his son.

Answer:

A. 324π cm^3

Step-by-step explanation:

I took the test and go it right.

Answer:

A. 324π cm^3

Step-by-step explanation:

took test

The angles of the triangle can be found using angle on a straight line theorem, isosceles triangle theorem, sum of angles in a triangle, sum of angles in a quadrilateral, vertical angle theorem etc.

The sum of angles in a triangle is equals to 180 degrees. Therefore, let's find the angles in the triangle

2a = 180 - 58(base angles of isosceles triangle)

a = 122 / 2

a = 61°

b = 180 - (180 - 90 - 40) = 130° (angle on a striaght line)

c = 130° (Known angles)

d = 180 - 33 - 88 = 59°(sum of angles in a triangle)

e = 180 - 69 = 111° (external triangle theroem)

f = 86° (vertically opposite angles)

g = 83° (vertically opposite angles)

h = 180 - 36 = 144° (sum of angles on a straight line)

learn more on angles here:https://brainly.com/question/19663879

Answer:

[tex]m\angle QPO + (2x+16)^\circ = 180^\circ[/tex]

Step-by-step explanation:

In a cyclic quadrilateral, opposite angles add up to 180 degrees. Therefore, our answer would be the third answer, [tex]m\angle QPO + (2x+16)^\circ = 180^\circ[/tex], where QPO and QRO are opposite of each other.

The computation shows that the values of Δy and dy will be 0.572 and 0.4 respectively.

The value of Δy will be computed thus:

Δy = y(x + Δx) - y(x)

= y(1.1) - y(1)

= 0.5(1.1)⁸ - 0.5(1)⁸

= 0.572

The value of dy will be:

= y'(x)dx

= (0.5)⁸ × x⁷(0.1)

= 0.4 (1)⁷

= 0.4

Learn more about finding values on:

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Answer:

45

Step-by-step explanation:

7x3=21

6x4=24

21+24=45

Answer: 8

Step-by-step explanation:

4x8 gives you 32

Then you subtract:
32-24 =8

Answer:

77/18 or 4 5/18

Step-by-step explanation:

Convert 2 1/3 and 1 5/6 into improper fractions then multiply:

7         11      77        5

--  x     --  =   --  = 4  --

3          6      18       18

Hopes this helps :)

Answer:

6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

the answer is 8 because the answer is 8

Answer:

f(x) = -5x - 2

Step-by-step explanation:

Plug in the first set of values into each possible equation. Whichever equation yields the correct ouputs (y-values) for ALL input (x-values) is the correct answer. For the function f(x) = -5x - 2,  f(-2) = 8, f(-1) = 3 and so on... So f(x) = -5x - 2 is the correct answer!

Hope this helps!

Answer: 13.312

Step-by-step explanation:

16 x 0.20 = 12.80

4% = 0.512

12.8 + 0.512 = 13.312

The Price of the shirt is now $13.312 .

Hope this helps answering your question !

Answer: 11 times is the awnser

Step-by-step explanation:

answer:

192

(the pattern is dividing each number by 4, if you need it)

8cm

First we need to look at the side opposite to the missing side

which it is 12cm

now we can see that on the missing side 4cm is right below it

so we do

12cm-4cm

this gives you

8cm

a) 12-4=8

b) 5+4+4+12+9=34

The perimeter is 34cm and the missing length is 8cm.

Or it could be 38 since this unknown length was determined.

Answer:

44

Step-by-step explanation:

the formula for finding the perimeter of a rectangle is p=2(l+w)

An expression has numbers, variables, and mathematical operations. The factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The factors of the expression x³-4x²+7x-28 can be written as,

[tex]x^3-4x^2+7x-28\\[/tex]

Take x² as the common factor from the first two terms while 7 as the common factor from the last two terms.

[tex]x^3-4x^2+7x-28\\\\=x^2(x-4)+7(x-4)\\\\=(x^2+7)(x-4)[/tex]

Hence, the factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).

Learn more about Expression:

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The area of the company's logo is  135 square cm

Composite figures are figures that are made up of two or more shapes

The area of the given logo = Area of square + Area of 2 triangles

A = l² + bh

A = 9² + (9)(6)

A = 81 + 54

A = 135 square cm

Hence the area of the company's logo is  135 square cm

Learn more on composite shapes here: https://brainly.com/question/26642678

Hope it helps.

Do comment if you have any query.

Answer:

A and C.

Step-by-step explanation:

Answer:

80.

Step-by-step explanation:

Angles of a triangle add up to 180. 180-80-20 is 80.

Answer:

D

Step-by-step explanation:

Answer:

$14.45

Step-by-step explanation:

15% of 17 is 2.55. 17 - 2.55 is 14.45

Answer:

7hours and 16 minutes

Step-by-step explanation:

8:15-9:15 is one hour. 9:15-10:15 is two hours. 10:15-11:15 is three hours.11:15-12:15 is four hours. 12:15-1:15 is five hours. 1:15-2:15 is six hours. 2:15-3:15 is seven hours. 3:15-3:31 is 16 minutes.

Step-by-step explanation:

a parabolic graph is given by the equation ax^2 + bx + c

the axis of symmetry is equal to -b/(2a)

however it is worth noting that all parabolas have a y intercept since their domain is all real numbers.

make sure to inform me if you need further guidance.