transforming quadratic graphs

Answer:

In my opinion this is the whole w

Step-by-step explanation:

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]

[tex]Midpoint=\left(4,6\right)[/tex]

Therefore, the midpoint of the line AB is (4,6).

Answer:

x=4 and y=0

Step-by-step explanation:

Sub x-4 in for y:

2x+4(x-4)=8

2x+4x-16=8

6x=24

x=4

y=x-4

y=4-4

y=0

Y = 4

X = 0

Answer is 8

9514 1404 393

Answer:

  18

Step-by-step explanation:

  50% × 36 = 0.50 × 36 = 18

There are 18 bikini styles at David's Swimwear.

Answer:

18 bikini styles.

Step-by-step explanation:

Divide 36 by 2.

Answer:

The person must leave the money for approximately 14.8 years.

Step-by-step explanation:

This can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n …………………………………. (1)

Where;

FV = Future value of the investment = 5600

PV = Present value of the investment = 3000

r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125

n = number of semiannuals = ?

Substitute the values into equation (1) and solve for n, we have:

5600 = 3000 * (1 + 0.02125)^n

5600 / 3000 = 1.02125^n

1.02125^n = 1.86666666666667

Loglinearizing both sides, we have:

nlog1.02125 = log1.86666666666667

n = log1.86666666666667 / log1.02125

n = 0.271066772286539 / 0.0091320695404719

n = 29.6829509548973

Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:

Number of years = 29.6829509548973 / 2 = 14.8414754774487

Rounding to the nearest tenth of year, we have:

Number of years = 14.8

Therefore, the person must leave the money for approximately 14.8 years.

Answer:

y=2x+0

Slope:  

2

y-intercept:  

( 0, 0 )

Step-by-step explanation:

Slope intercept form: y=mx+b

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

−

2

+

2

i

√

3

,

−

2

−

2

i

√

3

Step-by-step explanation:

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

The measure of angle BXC is 70°

"It is a line that passes through two lines in the same plane at two different points."

"These are the lines in the same plane that are at equal distance from each other and never meet."

"It is a triangle having any two sides equal in length."

For given example,

We can observe that XY and BD are parallel lines and AB is the transversal.

Here,

∠AXY = ∠XBC                                  ..............(Corresponding angles)

⇒ ∠XBC = 55°

In figure, for ΔXBC the sides XB and XC are equal.

So, ΔXBC is an isosceles triangle.

We know, for isosceles triangle, angles opposite to equal sides are equal in measure.

⇒ ∠XBC = ∠XCB

⇒ ∠XCB = 55°

We know, the sum of all angles of the triangle is 180°.

⇒ ∠XBC + ∠XCB + ∠BXC = 180°

⇒ 55° + 55° + ∠BXC = 180°

⇒ 110° + ∠BXC = 180°

⇒ ∠BXC = 70°

Therefore, the measure of angle BXC is 70°

Learn more about the angles formed by parallel line and transversal here:

https://brainly.com/question/15464186

#SPJ2

Answer:

27.5

Step-by-step explanation:

Answer:

Answer: 27.5 and your welcome!!

Answer:

(1-1)+(5×2)

hope this helps you

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

[tex]841=400+x^2\\\\x^2=441\\\\x=21[/tex]

notice that the 841 and the 400 don't go squared because they already squared!

Answer:

3.11637

Step-by-step explanation

I got it right ayyy :p

Answer:

310

Step-by-step explanation:

62 multiplied by 5 will get you the answer

Answer:

x = 5

Step-by-step explanation:

Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.

6x - 5 = 5x (Given)

-5 = -x (Subtract 6x on both sides)

5 = x (Divide -1 on both sides)

Therefore, x = 5.

Answer:

x = 5

Step-by-step explanation:

Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.

Therefore, triangle GJH is an equilateral triangle.

Measures of all sides of an equilateral triangle are equal.

So,

6x - 5 = 5x

6x - 5x = 5

x = 5

Answer:

I think its the 2nd one im not sure tho

Step-by-step explanation:

Answer:

first one is 14.

second one is 131-11=6B

Step-by-step explanation:

1) 252/18=14

2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books

hope that helps :)

Answer:

1.AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

2.CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

3.AC corresponds to FD

4.The scale factor is 2 because you would take the sides in ABC and multiply by 2 to get the sides in FED

5.6 because it corresponds to CB  and you would multiply the side of CB (3) by 2 and you would get 6

6.A^2+B^2=C^2   =    FE^2+ED^2=FD^2    =    8^2+6^2=100^2   = square root of 100=   10

The side length of FD is 10

Answer:

Your welcome no need to thank me

Step-by-step explanation:

Answer:

5 37.50

10 75

hope it helps

Step-by-step explanation:

prove me wrong

Answer:

Lol the you tube tab though XD

Step-by-step explanation:

Answer:

108 bottles

Step-by-step explanation:

[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]

Answer:

108 bottles

Step-by-step explanation:

[tex]\frac{4.536}{0.042}[/tex]=108

Answer:

<1 = 97

<2 = 83

<7=87

<8 = 83

<11 = 112

<12 = 68

<13 = 112

<14 = 68

Step-by-step explanation:

Those are the only ones Ik sry

9514 1404 393

Answer:

  £30

Step-by-step explanation:

The total area of the four walls is ...

  A = 4 × LW

  A = 4 × (2.4 m)(3.7 m) = 35.52 m²

Subtracting the area of the door, we find the painted area to be ...

  35.52 m² -(2 m)(0.7 m) = 34.12 m²

Painting this area will require ...

  (34.12 m²)/(8 m²/L × 1.5 L/tin) = 2.8433... tins

Aisha will need to buy 3 tins of paint, for which she pays 2.5 times the price of 1 tin:

  2.5 × £12 = £30 . . . . Aisha's cost to paint her living room

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

Answer:

.

Step-by-step explanation:

Answer:

she spends 50% of her budget on her car

Step-by-step explanation:

300 is half of 600. I hope this helps :)

i hope you understand

Answer: (2.)

1 and 111 only

Step-by-step explanation:

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

Answer: x ≤ 5

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The side lengths are 1/4 of the perimeter, so we can say ...

  the sum of side lengths is 68 ft/4 = 17 ft

  the difference of side lengths is 12 ft/4 = 3 ft

Using x to represent the side length of the smaller square, we have ...

  x + (x +3) = 17 . . . . . . the larger square has side length x+3

  2x = 14 . . . . . . . . . subtract 3

  x = 7 . . . . . . . . divide by 2

The side lengths of the squares are 7 feet and 10 feet.

Answer:

x = 10; y = 10

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan( {theta} ) = \frac{opposite}{adjacent} [/tex]

theta = 45°

opposite = x

hypotenuse = 10√2

adjacent = y

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{x}{10 \sqrt{2} } [/tex]

[tex] \sin(45) \times 10 \sqrt{2} = x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \cos(45) = \frac{y}{10 \sqrt{2} } [/tex]

[tex] \cos(45) \times 10 \sqrt{2} = y[/tex]

[tex]10 = y[/tex]

[tex]y = 10[/tex]