Solve (x - 5)² = 3.
A. x-5± √√3
B. x = 8 and x = -2
C. x=-5± √√3
D. x=3 ± √√5

Answer:

The points lie in

✔ the same quadrant

The distance is

✔ 4 units

Step-by-step explanation:

the same quadrant

4 units

The  distance between the two points (1, 2) and (5, 2) is 4 units. And both the points (1, 2) and (5, 2) lie in the same quadrant.

Distance between two points is the length of the line segment that connects two given points.

[tex]d = \sqrt{(x_{2}-x_{1} ^{2}) +(y_{2}-y_{1} ) ^{2} }[/tex]

According to the given question

We have

Two points

(1, 2) and (5, 2)

Let,

[tex](x_{1},y_{1}) = (1, 2)[/tex]

And, [tex](x_{2},y_{2} ) = (5,2)[/tex]

Therefore,

The distance between the points (1,2) and (5, 2)

= [tex]\sqrt{(5-1)^{2} +(2-2)^{2} }[/tex]

[tex]=\sqrt{(4)^{2}+0 }[/tex]

[tex]=4[/tex] unit.

Hence, the  distance between the two points (1, 2) and (5, 2) is 4 units.

Since, the x coordinate and y coordinate of both the points (1,2) and (5, 2) are positive. Therefore, they both lie in the first quadrant. Hence, the points lie in the same quadrant.

Learn more about distance between the two points here:

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Answer:

Hose A fills at a rate of 10 gal per min

Hose B fills at a rate of 8 gal per min

Hose B fills at a faster rate

Step-by-step explanation:

Answer:

Hose A=10 gal per min

Hose B=8 gal per min

Hose A is faster

Step-by-step explanation:

A) 160 gallon/16 minutes=10 gallons per minute

B) 240 gallon/30 minutes=8 gallons per minute

Answer:

2. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=3,1

Step-by-step explanation:

Hope it is helpful.....

Answer:

x = 1

Step-by-step explanation:

Solving the equations

4x² - 12x + 4 = - 4 ( add 4 to both sides )

4x² - 12x + 8 = 0 ( divide terms by 4 )

x² - 3x + 2 = 0 ← in standard form

(x - 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

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

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

The solution that is true for both equations is x = 1

9514 1404 393

Answer:

  72

Step-by-step explanation:

  h(4) = 4^3 -2·4 = 64 -8 = 56

  g(4) = 3·4 +4 = 16

Then the sum is ...

  (h+g)(4) = h(4) + g(4) = 56 +16

  (h+g)(4) = 72

Answer:

Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)

=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)

=1+2sin A+1/cos A(1+sin A)

=2(1+sin A)/cos A(1+ sin A)

=2sec A

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction

= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator

= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]

= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]

= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator

= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator

= [tex]\frac{2}{cosA}[/tex]

= 2secA = right side, thus verified

Answer:

$38.48

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!

Answer:

1) x = 41.8 deg

2) x = 64.2 deg

3) x = 51.3 deg

Step-by-step explanation:

Problem 1

For angle x, 4 is the opposite leg and 6 is the hypotenuse.

sin x = 4/6

x = sin^-1 2/3

x = 41.8 deg

Problem 2

For angle x, 14 is the adjacent leg, and 29 is the opposite leg.

tan x = 29/14

x = tan^-1 29/14

x = 64.2 deg

Problem 3

For angle xm 25 is the adjacent leg, and 40 is the hypotenuse.

cos x = 25/40

x = cos^-1 5/8

x = 51.3 deg

Answer:

SSS

Step-by-step explanation:

Answer:

2 : 19

Step-by-step explanation:

We know 2 of the bushes are blooming (this is the left number in my answer) but the other 17 are not. Neither of these is the total number of bushes. To find that, we need to add these together to get 2 + 17 = 19.

This means 2 out of 19 rose bushes are blooming.

Hope this helps! Have a great day!

Answer:

You're wrong, it's the bottom left

Step-by-step explanation:

x^2-49 is a difference of squares so it factors into (x+7)(x-7) which obviously cancels out with the denominator leaving x-7 left. This is the line you should graph, but keep in that x+7 is still in the denominator so x cannot be equal to -7 which means that this point should be be on the line which leaves the answer to be the one on the bottom left.

Answer:

The correct answer is 95 degree........

Answer:variable is 75

Step-by-step explanation:

Answer:

! will edit once i get a response !

Step-by-step explanation:

do you have a picture? if so, please upload it

Answer:

105 students and 150 guests

Step-by-step explanation:

equation to find the answer are

1x + 5y = 855

x + y = 255

with

x + y = 255

x = 255 - y

now we replace x with (255 - y) into 1x + 5y = 855 to find y

1(255 - y) + 5y = 855

255 - y + 5y = 855

255 + 4y = 855

4y = 855 - 255

4y = 600

y = 150 (number of guests)

now we got y = 150, let's find x

x + y = 255

x + 150 = 255

x = 255 - 150

x = 105 (number of students)

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

Answer:

this is in Russian please ask in English

Step-by-step explanation:

I know what is the question but you should ask in English after translating ok

Answer:

Slope = - 20; intercept, c = 100

y = - 20x

Step-by-step explanation:

The slope (s) = Rise / Run

using the pairs : (0, 100) and (5, 0)

x1 = 0 ; y1 = 100 ; x2 = 5 ; y2 = 0

Rise = (y2 - y1) = (0 - 100) = - 100

Run = (x2 - x1) = (5 - 0) = 5

Slope = - 100 / 5

Slope = - 20

Using the slope intercept relation :

y = mx + c

m = slope ; c = intercept

y = - 20x + c

Using the point (4, 20) to find c

20 = - 20(4) + c

20 = - 80 + c

20 + 80 = c

100 = c

Hence, c = 100

Slope, m = number of songs downloaded per week

c = Total number songs at week 0

The equation expressed in slope intercept form:

General form:

y = mx + c

m = - 20 ; c = 100

y = - 20x + 100

Step-by-step explanation:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer:

g = 6 units

Step-by-step explanation:

In the given right angled triangle , rest 2 angles are same i.e. 45° each.

Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).

⇒ α = 45°

So ,

[tex]\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}[/tex]

[tex]=> \sin 45 = \frac{3\sqrt{2}}{g}[/tex]  ( [tex]\alpha = 45[/tex] )

[tex]=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}[/tex]            (∵  [tex]\sin 45 = \frac{1}{\sqrt{2}}[/tex] )

[tex]=> g = 3\sqrt{2} \times \sqrt{2} = 6[/tex]

Answer:

√x+6=x-6

squarring both side

x+6=x²-12x+36

0=x²-12x-x+36-6

x2-13x+30=0

x²-10x-3x+30=0

x(x-10)-3(x-10)=0

(x-10)(x-3)=0

either

x=10

or

x=3

Answer:

D:X=10

Explanation

Answer:

23 = 1

46 = 2

92 = 4

138 = 6

Step-by-step explanation:

hope this helps

Answer:

deepest part of dive is 2.5 feets below sea level ;

-2.5 feets

Step-by-step explanation:

Given :

Initial Position = 5.8 feets above sea level = +5.8

Deepest part of dive = x

Change in elevation between initial position and deepest part of dive = 8.3 feets

Position relative to sea level at deepest part of dive :

x = change in elevation - Initial position

x = 8.3 feets - 5.8 feets

x = 2.5 feets

Hence, deepest part of dive is 2.5 feets below sea level

Answer:

36 girls voted for Marisol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plot the y-intercept (0, 4).  Starting at (0, 4), move your pencil point 1 space to the right, to (1, 4), and from (1, 4) up 1 space to (1, 5).  Draw a straight line through (0, 4) passing through (1, 5) also.

Step-by-step explanation:

If the whole thing is in a square root, then the  answer is sqrt21.

If only sqrt26 is in the square root, then the answer is -5+sqrt26.

(esto es en español) (This is in spanish transalation)

Si todo está en una raíz cuadrada, entonces la respuesta es la raíz cuadrada 21.

Si solo la raíz cuadrada 26 está en la raíz cuadrada, entonces la respuesta es -5 + raíz cuadrada 26.

Answer:

angles

1x

3x

5x

1x +3x +5x = 180 (ASP)

9x = 180

x= 180÷9

x= 20

1x= 20

3x= 60

5x=100

angles are 20°, 60°, 100°

Step-by-step explanation:

hope it helps u

Answer:

b

Step-by-step explanation:

Answer:

To determine the value of X, what you would need to do is to use a trigonometric ratio, that would make use of the value of x and the side length of 12. This can either be, sin 30 or cos 60. Both of them will enable you to solve for x.

The final value for x would be either

X = 12/Sin 30

X = 12/Cos 60

Compute these in your calculator and you will find the final value in these cases.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Measure the corresponding sides and verify if the ratios are same or not.

Corresponding sides:

The measures, using coorinates and the distance formula:

We can see the ratios of the two pairs are not same:

We can state that Kyle is correct

Answer:

x + 5 = ,3

Step-by-step explanation:

x+5-5= +3-5

x= -2