Find the distance between the two points in simplest radical form.

Answer:

x-intercept (2, 0)

Step-by-step explanation:

y = 2x² - 6x + 4

Factor

(2x - 2)(x - 2) = 0

2x - 2 = 0

2x = 2

x = 1

x-intercept (1, 0)

x - 2 = 0

x = 2

x-intercept (2, 0)

By using the factor method,

the other x-intercept of the parabola is (2, 0).

A parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus) and a fixed straight line (the Directrix ).

Given:

One x-intercept for a parabola is at the point (1,0).

In factor form : (x - 1)

And the quadratic function,

y = 2x² - 6x + 4.

To find the factor of the equation:

2x² - 6x + 4 ÷ (x - 1)

We get,

(2x - 4) = 0

x = 4/2

x = 2

The other intercept of the parabola is (2, 0).

Therefore, the other x-intercept of the parabola is (2, 0).

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Answer:

[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]

Step-by-step explanation:

[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]

[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]

The x-intercept is when y=0. It is the point on the x-axis. Solve for x when y=0 in the first equation.

2x + 3(0) + 6 = 0

2x = -6

x = -3

x-intercept is (-3, 0).

The line we want has the same slope as the second equation because it is parallel. From the second equation,

-5y = -2x + 7

y = (2/5)x - (7/5)

The slope is 2/5.

Using the x-intercept and slope, along with the general form of the line y = mx + b , we can solve for b.

y = mx + b

0 = (2/5)(-3) + b

0 = (-6/5) + b

(6/5) = b

The equation we want is

y = (2/5)x + (6/5)

Step-by-step explanation:

drop some thanks plss ✌

follow too

Answer:

No way its too blur XD

Step-by-step explanation:

sports

watching tv

reading books

surfing

and sleeping maybe

Answer:

Sports - 25%

Surfing - 25%

Reading Books - 20%

Watching TV - 25%

Malling - 5%

Step-by-step explanation:

Answer:

since angle x and y are the same the answer will be

A: x=y

Answer: $ 91.50.

Step-by-step explanation:

Let x be the original price.

Since discount is applied before tax.

New price = (Original price - Discount)-Tax rate (Original price - Discount)

, where Discount = Discount rate x Original price.

Substituting values, we get

[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]

[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]

[tex]62.28=0.75x-0.069375x[/tex]

[tex]62.28=0.680625x[/tex]

[tex]x=\frac{62.28}{0.680625}[/tex]

[tex]x=91.50[/tex]

Hence, the original price was  $ 91.50.

9514 1404 393

Answer:

  27

Step-by-step explanation:

For point (x, y) and slope m, the y-intercept can be found from the equation ...

  b = y -mx

  b = 0 -(-3)(9) = 27

The y-intercept is +27. The corresponding ordered pair is (0, 27).

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0  x+9 =0

x = 4  x=-9

Cannot be negative since that is negative length

x=4

Answer:

8,24 metros cuadrados de vidrio

Step-by-step explanation:

Área de un rectángulo = Largo × Ancho

De la pregunta anterior

Longitud = 3,23 m

Ancho = 2,55 m

Área del rectángulo = 3,23 m × 2,55 m

= 8.2365 m²

Aproximadamente = 8,24 m²

Por tanto, Ramiro tiene que comprar 8,24 metros cuadrados de vidrio

Answer: 320 cents

Step-by-step explanation:

80/5 = 16

16*20= 320

Answer:

Cost 20 apples = 320

Step-by-step explanation:

5 apples cost = 80

cost of 20 apples = ?

First we should cost of 1 apple

1 apple cost = 80 ÷ 5

= 16

∴ Cost of 20 apples = 16 × 20

= 320

Answer:

87.9°

Step-by-step explanation:

arctan(50/40)=87.9°

Answer:

the second one

Step-by-step explain

i hope it helps

Answer:

perimeter

Step-by-step explanation:  If she walks around its perimeter.  If she covers every inch of ground covered by the field its area.

Perimeter would be like an outline.  And area would be the whole thing shaded.  

Answer:

Given a line segment AB

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Step-by-step explanation:

for more help please follow

Answer:

Follow the steps below to construct a perpendicular bisector of a line segment.

Step 1: Draw a line segment XY of any suitable length.

Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.

Step 3: Repeat the same step with Y as the center.

Step 4: Label the points of intersection as 'P' and 'Q'.

Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.

Step-by-step explanation:

Answer: About 15 feet off the ground

The more accurate value is 14.6167273222817 but even this value is not fully exact.

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

Work Shown:

Refer to the diagram below.

sin(angle) = opposite/hypotenuse

sin(66) = x/16

16*sin(66) = x

x = 16*sin(66)

x = 14.6167273222817

x = 15

The ladder reaches roughly 15 feet off the ground, when rounding to the nearest whole number.

I'm rounding to the nearest whole number since the other length (16 ft) is a whole number. Round however you need to if your teacher instructs otherwise.

Answer:

0.14

Step-by-step explanation:

If winning holds a probability of 0.5 and a draw holds a probability of 0.3, then that means that losing has a probability of 0.2 (1 - 0.5 - 0.7 = 0.2). Therefore, to find the probability of Vishi losing exactly one of the two games we need to multiply the probability of him losing one game by the probability of him winning or tying the second game like so...

0.2 * (0.5 + 0.3) = x

0.2 * 0.7 = x

0.14 = x

Finally, we can see that the probability of Vishi losing exactly one of the two games is 0.14

Answer:

32 seria tu respuesta amigo denada

Answer:

y = 4x+ 5 is the equation that describes the data...

that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"

Step-by-step explanation:

Answer:

AIS correct information

Answer: proportionate

Step-by-step explanation:

Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.

Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.

Answer:   v = -3

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

Work Shown:

[tex]5 = \sqrt{-2-6v}+1\\\\5-1 = \sqrt{-2-6v}\\\\4 = \sqrt{-2-6v}\\\\4^2 = \left(\sqrt{-2-6v}\right)^2 \ \text{ .... square both sides}\\\\16 = -2-6v\\\\16+2 = -6v\\\\18 = -6v\\\\-6v = 18\\\\v = 18 \div (-6)\\\\v = -3[/tex]

As you can see, we don't square both sides until the square root portion is fully isolated or on its own side. So it happens after we subtract 1 from both sides.

Technically, you are able to square both sides without first isolating the square root. But that would mean you'd have to use the FOIL rule and things would get a bit messier than they have to be. Not to mention that the square root term wouldn't fully go away (so you'd have to square again later down the line).

------------------

Checking the answer:

Replace every copy of v with -3. Simplify both sides. We should end up with the same number on each side

[tex]5 = \sqrt{-2-6v}+1\\\\5 = \sqrt{-2-6(-3)}+1\\\\5 = \sqrt{-2+18}+1\\\\5 = \sqrt{16}+1\\\\5 = 4+1\\\\5 = 5\\\\[/tex]

The answer is confirmed.

Answer:

a) The ratio of used books to new books is of [tex]\frac{9}{4}[/tex].

b) The ratio of all books on the shelf to used books is of [tex]\frac{13}{9}[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Ratio of b to a:

The ratio of b to a is given by:

[tex]\frac{b}{a}[/tex]

In this question:

13 books, 9 used, 4 new.

(a) What is the ratio of used books to new books?

9 used, 4 new. So

The ratio of used books to new books is of [tex]\frac{9}{4}[/tex].

(b) What is the ratio of all books on the shelf to used books?

13 books on the shelf, 9 used. So

The ratio of all books on the shelf to used books is of [tex]\frac{13}{9}[/tex]

Answer:

13%

Step-by-step explanation:

Percentage of tulips=100%-75%

=25%

Percentage of pink tulips=50%×25%

=12.5%

Hence, the option with 13% is closest to 12.5% when it is rounded off to the nearest ten.

Thus, the answer is 13%.

hope it helps!!!

The probability that a randomly chosen flower from the arrangement is a pink tulip would be 0.125.

Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes. Probability measures the possibility of any event to occur.

Given is that Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink.

Probability that the selected flower is a tulip is -

P{T} = 25/100 = 1/4

The probability that a randomly chosen flower from the arrangement is a pink tulip would be -

P{Pink Tulip} = (50% of 25)/100

P{Pink Tulip} = (50/100 x 25)/100

P{Pink Tulip} = (50/4)/100

P{Pink Tulip} = 12.5/100

P{Pink Tulip} = 0.125

Therefore, the probability that a randomly chosen flower from the arrangement is a pink tulip would be 0.125.

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Answer:

65 + 30x.

Step-by-step explanation:

The $65 is a one-time fee for when you first purchase the instrument. The $30 is every month you rent it, and x = the months you rent it.

Therefore, to find the whole cost over time, you would do

65 (first month) + 30x (how much you'll spend over the time you rent the instrument).

Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

6

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(KL) * (KM) = KJ^2

(KM+ ML) * KM = KJ^2

(2+ ML) * 2 = 4^2

(2+ ML) * 2 =16

Divide each side by 2

(2+ ML)  = 8

Subtract 2 from each side

ML = 6

Answer:

15x^2 + 23x = 4

Step-by-step explanation:

NOT BOX METHOD :

(-5x-1)(-3x-4)

=15x^2+20x+3x+4

=15x^2+23x+4