M is the midpoint of CD. C is located at (-2,12) and D is located at (4,6). If g is a two digit number that has the x coordinate of M as it's tens digit and the y coordinate of M as its ones digit, what is the value of g?

Answers

Answer 1

Answer:

If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.

Step-by-step explanation:

Let [tex]C(x,y) =(-2,12)[/tex] and [tex]D(x,y) =(4,6)[/tex], from Analytical Geometry and Linear Algebra we have that midpoint of CD is determined by:

[tex]M(x,y) = \frac{1}{2}\cdot C(x,y)+\frac{1}{2}\cdot D(x,y)[/tex] (Eq. 1)

[tex]M(x,y) = \frac{1}{2}\cdot (-2,12)+\frac{1}{2}\cdot (4,6)[/tex]

[tex]M(x,y) = (-1,6)+(2,3)[/tex]

[tex]M(x,y) =(-1+2,6+3)[/tex]

[tex]M(x,y)= (1,9)[/tex]

If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.


Related Questions

(-1,1) and (0,4) are on the line what is the linear equation in standard form

Answers

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

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HELP ASAP PLEASE THANKS! :))

Answers

Answer:

I believe the answer is p = -7/5

Step-by-step explanation:

Here's the equation and the workthru of my logic:

-5 (p + 3/5) = -4

Divide both sides by -5 to remove the -5 from the left side of the equation,

p + 3/5 = -4/5,

Subtract 3/5 from both sides to solve for p,

p = -4/5-3/5

p = -7/5

Solution is -7/5

Hope this helps.

Good luck!

3. x + y = 15
X - y = 3
solving systems of equations

Answers

Answer: x=10 y=5 = 15xy

Step-by-step explanation:

find angle sum therom ​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Sum of the interior angles of any triangle is 180° .

Thus ;

[tex]y + 48° + 90° = 180°[/tex]

[tex]y + 138° = 180°[/tex]

Subtract sides 138°

[tex]y + 138° - 138° = 180° - 138° \\ [/tex]

[tex]y = 42°[/tex]

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What is the difference between an image under a dilation with a scale factor 0 1

Answers

is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement.

CIVICS In the 2004 presidential election, Ohio had 20 electoral votes.
This is 14 votes less than Texas had. How many electoral votes did Texas
have in 2004?

Answers

Answer:

34

Step-by-step explanation:

Ohio had 20

14 votes less than Texas (20 + 14)

34 electoral votes Texas had in 2004.

~~~Hope this helps~~~

0.0000000043 estimated to the power of ten

Answers

Answer:

4.3 x 10^-9

Step-by-step explanation:

Convert to base 10 and move decimal 9 to right

Kyra walks 2 miles in 30 minutes, how long will it take her to walk 120 minutes.

Answers

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

Could someone explain how to solve this for me?

Answers

The answer it's 95o UwU

Kiran says that -2 < -5 . Do you agree with Kiran

Answers

Answer:

No

Step-by-step explanation:

-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.

Answer:

no

Step-by-step explanation:

I took a test and this question was on it and the answer was no.

is 1.30 bigger than 1.3?

Answers

It is the same value

PLEASE HElP BEfORe MY BRAIN StarTs LagGiNg

Answers

Answer:

A.

Step-by-step explanation:

your equation has no exponents, it is linear.

Answer:

A

Step-by-step explanation:

SOMEONE HELP. I WILL GIVE BRAINLIEST (I will report foolish answers)

Answers

Answer:

second A

Step-by-step explanation:

They are alternate interior angles

what's (+6) + (+48) ?​

Answers

Answer:

54

Step-by-step explanation:

The answer is 54.
..
.

A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)

Answers

The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

Step-by-step explanation:

Given information:

[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]

[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]

[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]

[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]

Now,

If ,we take a right circular cone with radius r and height h , its volume

[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]

Now, the radius of cone when the volume of water tank is given

[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]

The ratio of height to radius of the cone :

[tex]\text {h/r} =3[/tex]

[tex]\text r = \text h/3[/tex]

Now calculate :

[tex]dV/dt= dV/dh \times dh/dt[/tex]

Which gives:

[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]

As ,

[tex]27=\frac{1}{27 \times h}[/tex]

[tex]\text h^3=27^2\\\text h= 9\\[/tex]

Now,

[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]

Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

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the regular price of a shirt is $40 during a sale a discount of 20% is given calculate the amount a customer pays for d shirt​

Answers

Answer:

$32

Step-by-step explanation:

0.8*40

If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?

Answers

-7/3

Step-by-step explanation: is the answer for odyssey ware

One month Tom rented 6 movies and 5 video games for a total of $50. The next month he rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.

Answers

Answer:rental cost for each movie =$3.75 and for video games = $5.5

Step-by-step explanation:

Step 1 Let the cost of movie = x

and cost of video game = y

Cost at  Ist Month for 6 movies and 5 video games for a total of $50 will  be

6x+ 5y= $50------- Equation 1

Cost at  2nd Month for 2 movies and 3 video games for a total of $24 will  be

2x+ 3y= $24--------  Equation 2

Step 2--- Solving

6x+ 5y= $50------- Equation 1

2x+ 3y= $24--------  Equation 2

Multiplying equation 2 by (3)

6x+ 5y= $50------- Equation 1

6x+ 9y= $72--------Equaton 3

subtracting  equation 1 from equation 3

9y-5y=22

4y= 22

y=22/4= 5.5

Putting the value of y = 5.5 in equation 1

6x+ 5y= $50

6x + 5(5.5)= $50

6x =50-27.5

6x=22.5

x=22.5/6

x =3.75

Therefore rental cost for each movie =$3.75 and for video games = $5.5

Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Miles 34 ?
Hours 14 ?
miles per hour

Answers

2.615 miles per hour I think

Luis' speed in miles per hour is 136.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

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Use the drop-down menus to completel the statements about the triangle shown.

Answers

Answer:

The legs are a and b, the hypotenuse is c

Step-by-step explanation:

The legs of a right triangle are the two smaller sides. The hypotenuse is the longest side it is also always opposite of the 90-degree angle. If you need to find the lengths of sides remember the Pythagorean theorem, .

Answer:

yes the person above me is correct .

Step-by-step explanation:

good job :)

80÷1.94≈
Please help me

Answers

Answer:

[tex]\frac{80}{1.94}[/tex]

Step-by-step explanation:

80 ÷ 1.94 = [tex]\frac{80}{1.94}[/tex]  

I hope this helps!

11 What is most likely the equation of the graph below?

Answers

Answer:

f(x) = |x + 2|

General Formulas and Concepts:

Transformations Graph: f(x) = a|bx - c|+ d

a = vertical shrink/stretchb = horizontal shrink/stretchc = horizontal movement left/rightd = vertical movement up/down

Step-by-step explanation:

Step 1: Define

We see a transformation from a parent function of the absolute value.

Parent Graph: f(x) = |x|

Step 2: Find equation of graph

We see the transformation moving horizontally 2 units to the left.

c = -2

f(x) = |x + 2|

solve the equation 4x²+4x+1=0​

Answers

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation:

HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2

Answers

Answer:

corresponding angles

Alternate angle

cointerior angle

Which question can be answered using the expression 1/3÷ 3/4 ​

Answers

Answer:

Jillian had a cake and Ruby ate 2/3 of it. Jillian's friends then came over and consumed 3/4 of the kuchen, which Ruby already ate out of. How much of the cake is left?

Step-by-step explanation:

Just think about it with simpler numbers. What if the expression was (4 ÷ 2)? Then the word problem could be made quite easily. Following the previous example, simply replace the numbers (4 and 2) with the fractions given (1/3 and 3/4) and make a few tweaks for it to make more sense.

Good luck!

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

Word problems involving equations

Algebraic equations are ways we can solve real life apllications.

Given the division problem

1/3÷ 3/4 ​

This can be written usng this statement:

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

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12x+y when x=3 and y=52

Answers

Substitute

12(3) + (52)

12(3) = 36

36 + 52 = 88

Do you know the answer

Answers

Answer:

y=2x+2

Step-by-step explanation:

The * stands for multiplication.

0*2+2=2

3*2+2=8

6*2+2=14

All of these statements are true, so this should be the correct answer.

The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.

Answers

Answer:

Step-by-step explanation:

the formula for calxulating the area if the isosceles triangle is expressed as;

[tex]A = \frac{1}{2}bh[/tex]

b is the base of the triangle

h is the altitude

Given

b = 16ft

h = 10ft

Substitute

A = 1/2 * 16 * 10

A = 8*10

A = 80ft²

Hence the area of the triangle is 80ft²

b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side

s² = h²+(b/2)²

s² = 10²+(16/2)²

s² = 10²+(8)²

s² =100+64

s² =164

s = √164

s = 12.8ft

Hence one side of the triangle is 12.8ft

If the value of x is 6 what is the value of y PIC included
PlEASE help hurry

Answers

Answer:

the value of y = 5

Step-by-step explanation:

What are the domain and range of x= -2?

Answers

Answer:

The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.

Step-by-step explanation:

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