GH¯¯¯¯¯¯¯ has endpoints G(−3, 2) and H(3, −2).
Find the coordinates of the midpoint of GH¯¯¯¯¯¯¯ .

A. (−3, 0)
B. (0, 2)
C. (0, 0)
D. (0, −2)

Answers

Answer 1

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[tex]( \frac{ - 3 + 3}{2} \: , \: \frac{ - 2 + 2}{2} ) = ( \frac{0}{2} \: , \: \frac{0}{2} ) = \\ [/tex]

[tex](0 \: , \: 0)[/tex]

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The correct answer is (( C )) .

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Related Questions

what is the cube root of -27​

Answers

Answer:

-3

Step-by-step explanation:

[tex]\sqrt[3]{-27}[/tex] is -3 and can be proven by doing [tex]-3^{3}[/tex] as -3 x -3 x -3 of itself will give you -27, as [tex]\sqrt[3]{-27}[/tex] is just -27/-3/-3

Subtract 2.53 x 105 from 1.3 x 108​

Answers

Answer:

125.2 is your answer dear

Answer:

Step-by-step explanation:

2.53 x 105 is 265.65

1.3 x 108​ is 140.4

now, Subtract 2.53 x 105 from 1.3 x 108​

140.4 - 265.65

= -125.25

Hope this helps

plz mark as brainliest!!!!!!

Write the equation of the quadratic function whose graph passes through [tex](-3,2)[/tex], [tex](-1,0)[/tex], and [tex](1,6)[/tex].

Answers

Answer:

[tex]f(x)=x^2+3x+2[/tex]

Step-by-step explanation:

We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).

Remember that the standard quadratic function is given by:

[tex]f(x)=ax^2+bx+c[/tex]

Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:

[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]

Simplify:

[tex]2=9a-3b+c[/tex]

Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:

[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]

And for (1, 6):

[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]

So, we have a triple system of equations:

[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]

We can solve this using elimination.

Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:

[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]

Compute:

[tex]6=2a+2c[/tex]

Let's divide both sides by 2:

[tex]3=a+c[/tex]

Now, let's eliminate b again but we will use Equation 1 and 2.

Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:

[tex]-3(0)=-3(a-b+c)[/tex]

Multiply:

[tex]0=-3a+3b-3c[/tex]

Add this to Equation 1:

[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]

Compute:

[tex]2=6a-2c[/tex]

Again, we can divide both sides by 2:

[tex]1=3a-c[/tex]

So, we know have two equations with only two variables:

[tex]3=a+c\text{ and } 1=3a-c[/tex]

We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:

[tex](3+1)=(a+3a)+(c-c)[/tex]

Compute:

[tex]4=4a[/tex]

Solve for a:

[tex]a=1[/tex]

So, the value of a is 1.

Using either of the two equations, we can now find c. Let's use the first one. Hence:

[tex]3=a+c[/tex]

Substitute 1 for a and solve for c:

[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]

So, the value of c is 2.

Finally, using any of the three original equations, solve for b:

We can use Equation 3. Hence:

[tex]6=a+b+c[/tex]

Substitute in known values and solve for b:

[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]

Therefore, a=1, b=3, and c=2.

Hence, our quadratic function is:

[tex]f(x)=x^2+3x+2[/tex]

Fraction 3•5 • fraction 4•9 =

Answers

Answer:

Step-by-step explanation:

3.5×4.9

=35/10×49/10

=1715/100

Or 17.15 answer

Answer:

Step-by-step explanation:

3/5 times 4/9. multiply straight across. 3 times 4 is 12. 5 times 9 is 45. your answer is 12/45. but this answer can be simplified if we take out a 3 for each one. so you have 4/15

Melanie deposits $8200 in a bank account paying 4.4% simple interest. How much money will be in her account after 5 years and 6 months?

Answers

Answer:

8200+1894.40 = $10,094.40

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

Where:

P is the principal amount, $8200.00.

r is the interest rate, 4.4% per year, or in decimal form, 4.4/100=0.044.

t is the time involved, 5.5....year(s) time periods.

So, t is 5.5....year time periods.

To find the simple interest, we multiply 8200 × 0.044 × 5.5 to get that:

The interest is: $1984.40  + add to Investment ($8000) and you'll get the answer.

HURRY PLEASE HELP Missy borrowed $5900 for seven years at an annual rate of 8%. What is the TOTAL AMOUNT that Missy will need to pay after 7 years? (principal AND interest)

Answers

Answer: $5933.04

Step-by-step explanation:

Principal = $5900

Rate = 8%

Time = 7 years

Simple interest = PRT/100

= (5900 × 8% × 7)/100

= (5900 × 0.08 × 7) / 100

= 3304/100

= $33.04

Total amount = Principal + Interest

= $5900 + $33.04

= $5933.04

Solve 4q = 52
Q=
Which statement shows the correct justification for the step used to solve the equation

Answers

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[tex]4q = 52[/tex]

Divide sides by 4

[tex] \frac{4q}{4} = \frac{52}{4} \\ [/tex]

Simplification

[tex]q = 13[/tex]

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pls help−4(3/2x−1/2)=−15

Answers

Answer:

17/6

Step-by-step explanation:

what you do first is open up the brackets..

so

-4 x 3/2x and -4 x -1/2

you then multiply these

-12/2x and 4/2

-6x and 2

(-6x+2) = -15

solve for x

-6x=-15 -2

-6x=-17

x=17/6

crossing out the negatives !

Find the unit rate. Round your answer to the nearest hundredth.
3500 calories for 6 servings of pie

Answers

3500cals/6 servings

583 1/3 cals per serving.

583 calories per serving.

Select all the lines in the proof of △ABC≅△CDA that have the correct justification. AB || CD and BC || AD, ASA Triangle Congruence Theorem ∠BAC≅∠DCA, Alternate Interior Angles Theorem △ABC≅△CDA, SAS Triangle Congruence Theorem ∠ACB≅∠CAD, Alternate Interior Angles Theorem AC≅AC, Reflexive Property of Congruence

Answers

Answer:

AB and MN

∠B and ∠N  

CB and LN

Step-by-step explanation:

edg

In the equation 0.5x-8=1.5 the decimal coefficient is

Answers

Answer:-9.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

The coefficient is the number that multiply the variable, in this case x.

Trisha uses 3 cups of sugar for every 4 cups of flour to make a batch of cookies. Which equation could be used to solve x, the number of cups of flour needed for 9 cups of sugar.

Answers

Answer: The number of cups of flour needed for 9 cups of sugar = 12.

Step-by-step explanation:

Equation of direct proportion between two quantities x and y :

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Let x=  the number of cups of flour needed for 9 cups of sugar.

Put [tex]x_1=4,\ y_1=3,\ y_2=9, x_2=x[/tex]

[tex]\dfrac{4}{3}=\dfrac{x}{9}\\\\\Rightarrow\ x=\dfrac{9\times4}{3}\\\\\Rightarrow\ x=12[/tex]

Hence, the number of cups of flour needed for 9 cups of sugar = 12.

Anthony says that the expression abc has three terms because it uses three different variables. Critique Anthony's reasoning and explain whether he is correct.

Answers

Answer:

Anthony's reasoning is incorrect

Step-by-step explanation:

The expression abc is not made up of three terms because it is just an entity. For the expression to be called a three term expression, each of the variables must be separated using mathematical signs. For example, the expression a + b + c can be referred to as three terms because each variables are separated by a plus sign. In this case they are different entity.

From the above explanation, we can conclude that Anthon's reasoning is incorrect. The expression abc is just one term not three terms.

Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.

Answers

Answer:

a = 4√5

Step-by-step explanation:

Given

Trapezoid XYWZ

As given, sides XW and YZ are parallel and XY = WZ

Since it is isosceles, angles X and W are of same size

Therefore:

a² + 15 = 2a² - 652a² - a² = 15 + 65a² = 80a = √80a = 4√5

20 POINTS!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST

Answers

9514 1404 393

Answer:

  8x +96 yd

Step-by-step explanation:

The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.

The overall length is the sum of the two horizontal segments at top:

  (x -2) +(3x) = 4x -2

The overall height is the sum of the right-side vertical segments:

  10 + 40 = 50

Then the perimeter is ...

  P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96

The perimeter is 8x +96 yards.

what is the y-intercept of this table? i dont understand it please help thank you.

Answers

Answer:

-0.4

Step-by-step explanation:

you just take 2 of them to find it

An element with mass 570 grams decays by 18% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?

Answers

9514 1404 393

Answer:

  43.2 grams

Step-by-step explanation:

The exponential equation for the decay can be written as ...

  amount remaining = (initial amount)(1 -decay rate)^t

  = 570(1 -0.18)^t

We want to find the amount remaining after 13 minutes. Evaluating this equation for t=13, we have ...

  amount remaining = 570(0.82^13) ≈ 43.2 . . . grams

In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars

Answers

Answer:

7/8

Step-by-step explanation:

In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars?

To solve the above, we add all the fractions together.

= Incisors + Premolars + Molars

= 3/8 + 1/4 + 1/4

Least Common Denominator = 8

= (3 × 1 + 2× 1 + 2 × 1)/8

= 3 + 2 + 2/8

= 7/8

Hence, the fraction of all the teeth are incisors, premolars, and molars is 7/8

8. Could an angle be complementary to itself? If, so what would it’s measure be?

9. Could an angle be supplementary to itself? If so, what would its measure be?

Answers

Answer:

8) angle that is complement of itself is 45°

9) When an angle is its own supplement, that means that the angle, plus itself, will equal 180 degrees.

Step-by-step explanation:

This is really confusing i need help if you get this right i will give you brainliest

Answers

Okie B or D

Maybe C

OK ok ok ok ok ignore that it's probably B? orC

okie nevermind there's lots of bullies and no one even know's I'm autistic people, okie baiiiii

Answer: I don't think the answer is B. -3/5+(-2/8)-4=-5 because B. -3/5+(-2/8)-4 A. (-40)+(-30)+28=-42, C. 130+70+(-37)=163, D. 40+(-58)+160=142. I think A. (-40)+(-30)+28=-42

what is the volume of a cylinder with radius 10cm and height 10cm?

Answers

Answer:

about 3141.59 cm^3

Step-by-step explanation:

V of cylinder = (pi)(r^2)(h)

radius = 10 cm

height = 10 cm

V = pi x 10^2 x 10

V = 3141.59 cm cubed

PLEASE HEEEEELLLPPPPP ILL GIIVE YOU BRAINLIEST

Answers

Answer:

your answer will be c

and distributive property for the second one

Step-by-step explanation:

the answer should be D for both, correct me if i'm wrong

(picture)
for each number on the left,place a check mark under the numbers it is divisible by.​

Answers

45- 3, 5, 9

369- 3, 9

7870- 2, 5, 10

1976- 2, 4,

6003- 3, 9

136- 2, 3, 4

1674- 2, 3, 6, 9

35496- 2, 3, 4, 6, 9

2³ =
what does it equal?

Answers

Answer:

8

Step-by-step explanation:

2 x 2 = 4

4 x 2 = 8

Answer:

8

Step-by-step explanation:

2^3 is the same as 2x2x2 (x is times)

CAN SOMEONE HELP THIS IS DUE

Hicham El Guerrouj of Morocco set a world record by running 1 mile in 3 minutes, 43.13 seconds on July 7, 1999. What was his time in miles per hour?

Answers

Answer:

His time in mph is 16.1 mph

1l) HAO WENT TO A HOBBY SHOP AND SAW A DISPLAY OF TOY TRAINS. THE SIGN IN FRONT OF
THE DISPLAY SAID THAT THE TOY TRAINS WERE A REPLICA OF THE LONG ISLAND RAILROAD
TRAINS. HAO ESTIMATED THAT ONE OF THE RAILROAD CARS WAS APPROXIMATELY 15
INCHES LONG AND 4 INCHES WIDE. THE SIGN IN FRONT OF THE DISPLAY STATED
"SCALE- 2 /9".
WHAT IS THE LENGTH OF THE RAILROAD CAR ON HE LONG ISLAND RAILROAD?
WHAT IS THE WIDTH OF THE LONG ISLAND RAILROAD CAR?

Answers

Answer:

Length = [tex]57.5\ \text{inches}[/tex]

Width = [tex]18\ \text{inches}[/tex]

Step-by-step explanation:

The scale of the toy train is [tex]\dfrac{2}{9}[/tex]

So, the dimensions of the toy train is [tex]\dfrac{2}{9}[/tex] times the actual dimensions of the train.

The dimensions of actual train is [tex]\dfrac{1}{\frac{2}{9}}=\frac{9}{2}[/tex] times the toy train's dimensions.

Length

[tex]15\times \dfrac{9}{2}=57.5\ \text{inches}[/tex]

Width

[tex]4\times \dfrac{9}{2}=18\ \text{inches}[/tex]

The length of the railroad car on the long island railroad is 57.5 inches.

The width of the railroad car on the long island railroad is 18 inches.

04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations

Answers

Answer:

1st one  m=0

y= 0.49875311x  / cm

No horizonal asymptotes

x= 1/2 + 2.005 mcy

2nd one is

slope 1/2

y intercept (0,2)

x      y

-4     0

0       2

Step-by-step explanation:

for 2

starting point ay y 2 make a point

then rise over run

go up 1 and to the right 2 and point , then up 1 and to the right 2 and point

there is your graph

In 2016 Jane was 14 years old. At that time she was 7 times as old as her brother, Jim. In what year will Jane be twice as old as Jim will be then?

Answers

Answer:

Step-by-step explanation:

Mary will be twice as old as her brother when the age of her brother is equal to the ... Add this value of 8 to Mary's & her brother's present age. ... In three years time I will be half my brother's age. ... In 4 years, she will be four times as old as her son was 9 years ago

PLEASE HELP ILL GIVE BRAINLIEST!

Answers

for qn2 :
2(n+7) = 2n + 14
hence, the answer is C as 2n + 2(7) = 2n + 14 as well

Answer: Image #1: C. Distributuve Property Image #2: A. n + 2(7)

Step-by-step explanation: For Image #1, they used the Distributive Property because the number 3 was (distributed) and multiplied to both x and 7. The equation is saying that 3x + 21 = 42, and that we’re trying to solve for x. For Image #2, the answer is A. n + 2(7) because after you solve the expression, the answer would be 14n. When you look at the four options, (A. B. C. D.), letter A. would be the answer because it equals to 14n.

Is there a triangle whose angles have these measures in degrees?
A) Yes
B) No

Answers

Answer:

No

Step-by-step explanation:

The sum of all internal angles on a triangle must equal 180°

[tex]28 + 64 + 100 = 192[/tex]

Other Questions
Unit Test Unit Test Active 13 TIME REMAINING 01:31:26 Chemical A and Chemical B react in an exothermic reaction. What can be known about what will happen when Chemical A and Chemical B are mixed together? O The new substance will need more energy to form its chemical bonds than the old substance will release. More energy will be released from the old substance than the new substance will need to form its chemical bonds. The color will change as a result of the reaction. O The substance will bubble as a result of the reaction. Save and Exit Next Submit Mark this and return What is an equation of the function shown in the graph?O A. y = 3x - 12O B. y = 1x +3O C. y= 1x - 12O D. y = 4x + 3PLEASE HELP ME!! Write the equation of the line that has a y-intercept of (0,4) and a slope of 2. Question 12 of 25Which sentence describes all atoms of one element?O A. They have the same number of protons.OB. They have the same number of neutrons.O C. They have the same number of isotopes.D. 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Which fact supports Anthony's opinion that all adults should have the right to vote we, the whole people, who formed the Union. they are denied the use of the only means of securing them . . . And it is a downright mockery to talk to women . . . not to give the blessings of liberty . . . 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They are short but it was a lot of work.correct orincorrect3 Francine has been looking online for a rare comic book that is missing in her collection, but she can't find it anywhere.correct orincorrect4 These hiking shoes smell terrible! It's because I've been walking in the woods all week and wearing them every day.5. Ok, everyone, the dance class has been finishing. Thank you for coming today.correct or incorrect6. Grandpa has been cooking in the kitchen all day. I don't know what it is, but it smells deliciouscorrect or incorrect.7. I've only been talking to my ski instructor twic, but I really like him. I think we're going to be friends. correct or incorrect.8. Angela has painted her bedroom again. It's now all black and white. It looks great.correct or incorrect. twice the square of a number WILL GIVE BRAINLIST!!Of the Executive, Legislative and Judicial branches, which of these powers do you think are the most important and why? 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