A line passes through the point (4, -6) and has a slope of -2. Which is the equation of the line?
O y=-x-3
O y--RX-6
O y=-3x-
O y=-x-
o ya
-

Answer:

Distance (d) = 15

Step-by-step explanation:

The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

Let (x₁, y₁) = (0, 0)

     (x₂, y₂) = (-12, 9)

Substitute these values into the distance formula.

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]

Perform the required subtraction within each parenthesis:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]

Next, take the squared values of -12 and 9 under the radical:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]

Add 144 and 81:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]

Distance (d) = 15

Therefore, the distance between the point of origin and (-12, 9) is 15.

ok done. Thank to me :>

Answer:

A

Step-by-step explanation:

Since Angle XYZ is equal to Angle YZX,

XY=XZ

The two triangles are congruent.So,

VW=YZ

XY=UV

XZ=UW

Thus;

XY=UV

XZ=UW

XZ=XY=UV=UW

So the permieter is 5.7 + 5.7 + 3.7 = 15.1 cm

The amount of money  he could have in savings after two more years is:c. $1,315. 06.

First step is to calculate the 12 month saving

Saving= 12 month × $103.19

Saving = $1238.28

Second step is to calculate the interest earned

Interest = Prt

Interest= $1238.28×·0.031×1

Interest= $38.39

Third step is to calculate the balance after 2 years

Saving= $1238.28 +(2 years × $38.39)

Saving= $1238.28 +$76.78

Saving= $1315.06

Inconclusion the amount of money  he could have in savings after two more years is:c. $1,315. 06.

Learn more about interest here:

https://brainly.com/question/16134508

An equation that models the path of Johnny’s ball is [tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]

The maximum height is given as:

[tex]h_{max}= 10ft[/tex]

And the time spent is:

[tex]t = 3s[/tex]

So, the vertex of the ball would be:

[tex]Vertex = (t/2,h_{max})[/tex]

This gives

[tex]Vertex = (3/2,10)[/tex]

[tex]Vertex = (1.5,10)[/tex]

Rewrite properly as:

[tex](h,k) = (1.5,10)[/tex]

The ball is on the floor after 3 seconds.

So, another point on the graph is:

[tex](x,y) = (3,0)[/tex]

A quadratic equation is represented as:

[tex]y=a(x - h)^2 + k[/tex]

Substitute [tex](x,y) = (3,0)[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]

[tex]0=a(3 - 1.5)^2 + 10[/tex]

[tex]0=a(1.5)^2 + 10[/tex]

Evaluate the exponent

[tex]0=2.25a + 10[/tex]

Subtract 10 from both sides

[tex]2.25a =- 10[/tex]

Divide both sides by 2.25

[tex]a = -\frac{10}{2.25}[/tex]

Multiply by 4/4

[tex]a = -\frac{40}{9}[/tex]

Substitute [tex]a = -\frac{40}{9}[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]

[tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]

See attachment for the graph that models the path

Read more about quadratic functions at:

https://brainly.com/question/11441586

i m not sure about the answer ...

Answer: yes!

Step-by-step explanation:

Answer: As to what I am seeing i think you are doing fine

Step-by-step explanation:

Great Job

Answer:

yes u picked C thats the correct answer

Step-by-step explanation:

(2,2)

Step-by-step explanation:

You have to add them together and minus the negatives

Answer:

A $10 deposit followed by a $60 withdrawal

Step-by-step explanation:

The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.

Answer:

13 cm

Step-by-step explanation:

The scale of the drawing was 1 centimeter : 4 meters.

x cm : 52 m   Divide by 4

13 cm : 52 m

Answer:

4

Step-by-step explanation:

Well 3 x 4 equals 12, 12 x 4 equals 48, and so on.

hope this helps!

Answer:

12 with a remainder of 5

Step-by-step explanation:

have a good day! :)

Answer:

all you do is() first divide then go from left to right answers 4

Answer:

27 ounces

Step-by-step explanation:

36 / 4 = 9 x 3 = 27

Answer:

I  really cant see the picture that well or, i would help.

Step-by-step explanation:

Let's se

Done!

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

Answer:

-49

Step-by-step explanation:

Make sure you understand the difference between

-3² and (-3)²

-3² means square 3, then take its opposite. -3² is the same as -(3²) = -9

(-3)² means square the number -3, which means that (-3)² = (-3) × (-3) = 9

Ok, now we can start. Use the correct order of operations.

-3² + (2 - 6)(10) =

= -9 + (-4)(10)

= -9 + (-40)

= -9 - 40

= -49

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

Hope it helps :)

461.176470588

Explanation:

2×56=112

112×420=47040

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

3×34=102

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

47040÷102=461.176470588

Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi

Recall:

The picture given shows a triangle with two midsegments: AB and BC

AB = the distance Ashley will kayak.

BC = the distance Christopher will kayak.

XY = 5 mi (base)

XZ = 6 mi (base)

Applying the midsegment theorem, find AB and BC.

AB = ½(XZ)

AB = ½(6)

AB = 3 mi

BC = ½(XY)

BC = ½(5)

BC = 2.5 mi

Thus, the distance Ashley will kayak more than Christopher = AB - BC

= 3 mi - 2.5 = 0.5 mi.

Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi

Learn more about the midsegment theorem on:

https://brainly.com/question/12234706

Answer:

width=4in.

length=13in

Step-by-step explanation:

let the width of the rectangle be x

then the length will be x+9

Area= length×width

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

the width is 4in. and the length is 4+9=13in.

The solution is, width=4in.

length=13in

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The area of a rectangle is 52 in^2.

If the length is 9 inches more than the width.

let the width of the rectangle be x

then the length will be x+9

Area= length×width

so, we have,

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

so, we get,

the width is 4in. and the length is 4+9=13in.

To learn more on Area click:

brainly.com/question/20693059

#SPJ3

Answer:

x = -12

Step-by-step explanation:

First, you want to plug in f(x)'s value into the equation.

-2 = -x-14

Then solve for x:

x=-14+2

x=-12

Answer:

100 mins or 1⅔ hrs

Step-by-step explanation:

¾ hr = ¾ × 60 mins

¾ hr = 45 mins

55 + 45 = 100

100 mins = 100 × hr/60

100 mins = 1⅔ hrs

Answer:

100 mins or 1⅔ hrs

Step-by-step explanation:

¾ hr = ¾ × 60 mins

¾ hr = 45 mins

55 + 45 = 100

100 mins = 100 × hr/60

100 mins = 1⅔ hrs

So it took them  1 2/3 hrs to get to school

[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]

[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]

hope helpful~

The reduced quantity if x is reduced by 25% is 0.75x.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

x is reduced by 25%,

Calculate the 25% of x as shown below,

25 / 100 × x

0.25x

Calculate the reduced quantity,

Reduced quantity = x - 0.25x

Reduced quantity = x(1 - 0.25)

Reduced quantity = 0.75x

To know more about percentages:

brainly.com/question/20818421

#SPJ2

Answer:

y=4x+18

Step-by-step explanation:

HOPE THIS HELPS :)