Enter the distance, in units, between point A and point C.​

Answer:

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have points (1,6) and (2,2)

Slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]

The equation of line will be:

[tex]y=mx+b\\y=-2x+11[/tex]

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]

The equation of line will be:

[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Answer:

[tex] \sqrt{13} [/tex]

in decimal form is 3.60555127

Answer:

Two segments are congruent if and only if they have the same measure.

Step-by-step explanation:

Because they have the same measurement which means that they are congruent if they have the same measure.

Answer:

(-0.67412648,-047682599)

Step-by-step explanation:

Answer:

FV= 111,529.37 = 111,529

Step-by-step explanation:

Giving the following information:

Initial amount (PV)= 12,000

Growth rate (g)= 45% = 0.45

First, we will establish the future value formula:

FV= PV*(1+g)^n

FV= future value

n= number of days

FV= 12,000*(1.45^n)

For 6 days:

FV= 12,000*(1.45^6)

FV= 111,529.37

Answer:

176.7 in²

Step-by-step explanation:

The formula for the area of a circle is πr².

But first, you have to find the radius. The radius is half of the diameter, which is the length from one edge of the circle to the other.

Here the diameter is 15 in. Divide the diameter by 2 to get the radius.

r = 15 ÷ 2 = 7.5 in

Now plug the radius into the formula and solve for the area.

A = πr²

A = π(7.5)²

A = π(56.25)

A = 176.7145868 ⇒ 176.7 in²

Hope that helps.

Answer:

The actual pressure is 36.50

Step-by-step explanation:

Given that:

Tire pressure reading = 8% higher

Reading = 39.42

As 100% will be the actual reading.

New reading = (100+8)% = 108%

Let,

x be the actual pressure of the tire

108% of x = 39.42

[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]

Dividing both sides by 1.08

[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]

Hence,

The actual pressure is 36.50

Answer:

= 1 : 4

Step-by-step explanation:

14 : 56 in it's simplest form

= 14 / 56

= 1/4

= 1 : 4

14 : 56 = 1 : 4

Therefore, 14 : 56 in it's simplest form is 1 : 4

Answer:

Answer is 10:15:35

Step-by-step explanation:

Let the ratio be 2x,3x,7x

then according to question;

2x+3x+7x=60

12x=60

x=5

now put value of x in the ratios

2x=2x5

=10

3x=3x5

=15

7x=7x5

=35

thus,weight of three bags are 10:15:35

I hope it's helpful!

Answer:

The equation of the line that passes through points is m = 6/4

Step-by-step explanation: sorry if this is wrong

Answer:

the fourth option: cannot be determined

Step-by-step explanation:

So the first option is the same as 21 times 9 which is more than 9, so it is incorrect.

The second option is the same as 2.3 times 21 and again its incorrect.

the third option  

the fourth option has the same outcome because the fractions are equal.

therefore it cannot be determined

Answer: 4.8

Step-by-step explanation:

Answer:

5=135

7=45

Step-by-step explanation:

Set them equal to 180. So i started plugging in numbers and subtracting them by 90. Then add it back to the number until i got 180.

Answer:

1: divide the two numbers and then multiply by 100

2: 28%

3. 27%

Step-by-step explanation:

2. 7/25= .28 -> .28x100= 28

3. 27/100= .27 -> .27x100= 27

Answer:

2

Step-by-step explanation:

Answer:

2/1......................

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

Answer: 9:4

Step-by-step explanation:

I think

Answer:

773,917

Step-by-step explanation:

I will assume it will be a compound interest:

To solve any compound interest problems, use the formula (P x e)^r x t

P = Principal amount

e is Euler's number can be found on your calculator

r = rate

t = time  

so 400,000e^0.06 x 11 = 773,916.93 = 773,917 (round to the nearest whole number)

Answer:

pop after 11 years will be 772,000

Step-by-step explanation:

P = initial population · [tex]e^{(.06)(11)}[/tex]     e = Eulers number which is approx 2.7

P = 400,000 · [tex]2.7^{0.66}[/tex]

P = 400,000 · 1.93

P = 772,000

Answer:

Step-by-step explanation:

9/7

Hope it helped you.

Please mark me brainliest.

Answer:

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]

Hence, option B) is true.

Step-by-step explanation:

Given

g(t) = t² - 2

h(t) = t + 4

To determine

[tex]\left(g\:\circ \:\:h\right)\left(-4\right)=?[/tex]

Using the formula

[tex]\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)[/tex]

In order to determine g(h(-4)), first we need to determine h(-4), so

substituting t = -4 in h(t) = t + 4

h(t) = t + 4

h(-4) = -4 + 4

h(-4) = 0

so we can write

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)[/tex]

now, to determine g(0), substitute t = 0 in g(t) = t² - 2v

g(t) = t² - 2

g(0) = (0)² - 2

g(0) = 0 - 2

g(0) = -2

so, finally we get

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2[/tex]

Therefore,

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]

Hence, option B) is true.

9514 1404 393

Answer:

  3.14 cm ≈ 1.235 in

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Solving for r, we find ...

  r = √(V/(πh))

For the given values, the radius is ...

  [tex]r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}[/tex]

Answer:

its c and no im not scaming L o l

Step-by-step explanation:

Answer: The scale factor from the first map to the second map is 4:3 (four to three) The side lengths of the landmark on the second map is 9/4 mm, 3 mm, 15/4mm.

Step-by-step explanation:

The scale factor is 8:6 which can be simplified to 4:3.

The side lengths of the landmark on the second map follows the same scale 4:3, so going in order:

4:3 = 3:x

4x = 9

x = 9/4

4:3 = 4:y

y = 3

4:3 = 5: z

4z = 15

z = 15/4

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. ( x − 7 ) ( x + 6 ) ( x + 7 ) ( x 2+ 66 ) ( x − 4 )

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When n = 7

hence, the given expression is equal to 10, when n = 7

Answer: 82.3 g

Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu

Moles Zn = 4/15(4.72) = 1.26 moles

mass Zn = 1.26 moles x 65.38 g/mol =