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In rhombus MATH, the coordinates of the endpoints of the diagonal MT are M(0, 2) and T(4, 6). Write an equation of the line that contains diagonal AH. Give your answer in slope-intercept form.

Answers

Answer 1

Answer:

y = - x + 6

Step-by-step explanation:

-- Rhombus diagonals are perpendicular and bisect each other.

-- A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of the midpoint of a segment AB are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

and formula of a slope of the line segment AB is

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

-- If AB ⊥ CD then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

-- Slope-point of linear equation is

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

M(0, 2)

T(4, 6)

[tex]m_{MT}[/tex] = [tex]\frac{6-2}{4-0}[/tex] = 1

[tex]m_{AH}[/tex] = - 1

Coordinates of the intersection of the diagonals are ( [tex]\frac{4+0}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = (2, 4)

y - 4 = - 1(x - 2)

y = - x + 6 is slope-intercept form of the diagonal AH


Related Questions

Select all ordered pairs that satisfy the function y=4x+3.

Answers

I suppose that you should have given some pairs to choose from.

Anyway, I can tell you how to do it. Given a pair [tex](a,b)[/tex], you have to substitute [tex]a[/tex] and [tex]b[/tex] to [tex]x[/tex] and [tex]y[/tex] respectively, and see if you get something true.

For example, the pair [tex](1,7)[/tex] satisfies the function, because the substitution yields

[tex]7=4\cdot 1+3[/tex]

which is true. On the other hand, the pair [tex](19,3)[/tex] doesn't satisfy the function, because

[tex]3=4\cdot 19+3[/tex]

is clearly false.

Which statements are ture about 5/6 and 7/10 ?Check all that apply

Answers

Answer:

is that all?

Step-by-step explanation:

isnt there more to the problem?

Determine the value of x and y

Answers

where is the question , without question how can we find the Values

Which three quantities are needed in order to calculate the value of the Y-intercept for the linear
regression prediction equation?
The slope, the mean of X, and the total number of observations in the data
The slope, the mean of Y, and the total number of observations in the data
The mean of X, the mean of Y, and the total number of observations in the data
The mean of X, the mean of Y, and the slope​

Answers

9514 1404 393

Answer:

  (d)  The mean of X, the mean of Y, and the slope

Step-by-step explanation:

A point on the linear regression curve is (mean(x), mean(y)). With that point and the slope, the equation of the line can be found. That equation will reveal the y-intercept.

  y-intercept = mean(y) -slope·mean(x)

Please help me slove this problem
7 = 4x - 5

Answers

Answer:

x = 3

Step-by-step explanation:

7 = 4x - 5

7 - 4x = -5

-4x = -5 - 7

-4x = -12

x = 12 ÷ 4

x = 3

Answer:

×=3

Step-by-step explanation:

7=4×-5

7-4×=5

-4×=-5-7

-4×=-12

×=12÷4

×=3

Painter has 7/8 liters of paint remaining each statue requires 1/20 how many statues can she paint

Answers

Answer:

1/20 liters per statue

so you divide 7/8 by 1/20

7/8*20/1

17.5 statues

but there cant be decimal statues,

so 17 statues is the answer

Answer:

17 statues.

Step-by-step explanation:

7/8 / 1/20

= 7/8 * 20

= 140/8

= 17.5.

Marshall has $0.34 in dimes and pennies. He has 7 coins altogether. How many coins of each kind does he have?

Answers

Dimes are 0.10 each

Pennies are 0.01 each

You need 4 pennies to get the 0.04

Then you would have 3 dimes .

3 x 0.10 = 0.30

4 x 0.01 = 0.04

0.30 + 0.04 = 0.34

In a study, subjects are randomly assigned to one of three groups: control, experimental A, or experimental B. After treatment, the mean scores for the three groups are compared. The appropriate statistical test for comparing these means is:

Answers

Answer:

Analysis of variance

Step-by-step explanation:

The appropriate statistical tool for this is the analysis of variance. The analysis of variance, also known as the ANOVA, is a statistical method which has the ability to separate data from observed variance into various components which is then use for more tests.

The anova gives an analysis of the differences that are in the group means of a sample.

The appropriate statistical test for comparing these means is Analysis of variance.

ANOVA stand for Analysis of variance. It is a statistical models and its associated estimation procedures are used to analyze the differences among means.

It simply provides a statistical test for two or more population to check if the means are equal or not, and therefore generalizes the t-test beyond two means.

Hence, the appropriate statistical test for comparing these means is Analysis of variance.

To know more visit:

https://brainly.com/question/15394749

----------- are used to represent an unknown quantity in a mathematical expression.

HELP I WILL GIVE BRAINLEIST

Answers

A letter or symbol is used to represent an unknown quantity

Answer:

variables

Step-by-step explanation:

Theo borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. What percent of interest did Theo pay?


i will give you 10 coins

Answers

9514 1404 393

Answer:

  4.75%

Step-by-step explanation:

When simple interest is charged, the payback amount is ...

  A = P(1 +rt) . . . . for annual rate r and a term of t years

Using the given values, we can solve for r.

  10280 = 8000(1 +6r)

  1.285 = 1 +6r . . . . . . . . divide by 8000

  0.285 = 6r . . . . . . . . . . subtract 1

  0.285/6 = r = 0.0475 = 4.75% . . . . . . divide by 6; express as %

Theo paid interest at the rate of 4.75%.

Question 24 of 25
What is the measure of R?

Answers

68°
Because the two sides are equal, then the angles will be as well
I believe the answer is 68 degrees
Since both corresponding sides are the same on the isosceles triangle, the angles will also be the same

If I’m not mistaken

Eber ran 3 miles. He stopped to take a break every {3}{4) mile.How many times did Eber stop, including his final stop at the end of the run?

Answers

Answer:

4 times

Step-by-step explanation:

The total model is 3 miles, divided by 3/4 equals the multiplication problem 3/1 times 3/4 but use the reciprocal of 3/4 which is 4/3 so it would be 3/1 times 4/3 which is 12/3 which is equivalent to 4. :)

There are 4 times did Eber stop.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eber ran 3 miles.

And, He stopped to take a break every 3/4 mile.

Now,

Let number of times stop = x

So, We can formulate;

⇒ 3/4x = 3

⇒ x = 3 × 4 / 3

⇒ x = 12/3

⇒ x = 4

Thus, There are 4 times did Eber stop.

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#SPJ2

Ten percent of the items produced by a machine are defective. Suppose that twenty items are randomly chosen. Use this information to answer the following three questions. What is the probability that exactly 3 of the items are defective

Answers

Answer:

15%

Step-by-step explanation:

if 10% is to 20 then 15% is to 30

Tired asl I need some help, thanks.

Answers

Answer:

C

Step-by-step explanation:

y=5-2x

3x-y=15

Substitute

3x-(5-2x)=15

the answer should be the 3rd choice.

The figure is made up of a square and a rectangle. Find the area of the shaded region.

Answers

first we do

square is length 6 so base =6

10-6=4

the rectangle is 2 by 4

base=4

square is 6 by 6

rectangle is 4 by 2

split the triangles up

area of triangle=1/2base times height

rectangle triangle base=4

height=2, area=1/2 times 2 times 4=4

square triangle

flip 90 degrees clockwise so we have base=2

height=6

area=1/2 times 2 times 6=6

add

4+6=10

total area=10m^2

Yeah he got it right

Awww please just determine the function equation, y intercept and slope.

Answers

Answer:

y = 3x + 45  is the function equation of y intercept and slope.

3(2y-3)-6=-12

i am in algebra 1.

Answers

Answer:

y = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3(2y - 3) - 6 = -12

Step 2: Solve for y

Add 6 to both sides:                    3(2y - 3) = -6Divide 3 on both sides:                2y - 3 = -2Add 3 to both sides:                     2y = 1Divide 2 on both sides:                y = 1/2

Answer:

Step-by-step explanation:

here you go mate

step 1

3(2y-3)-6=-12  equation

step 2

3(2y-3)-6=-12  simplify

(3)(2y)+(3)(-3)+-6=-12

step 3

(3)(2y)+(3)(-3)+-6=-12  distribute

6y+(-9)+(-6)=-12

step 4

(6y)+(-9+-6)=-12  combine the terms

6y-15=-12

step 5

6y-15(+15)=-12(+15) add +15 to both sides

6y=3

step 6

6y/6=3/6

answer

y=1/2

find the midpoint of the segment with endpoints with coordinates at (-2,3) and (6,3)​

Answers

((x1+x2)/2, (y1+y2)/2)
-2 + 6 = 4/2 = 2
3 + 3 = 6/2 = 3
Solution: the midpoint is (2,3)

Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and Noah pick together?

Group of answer choices

Answers

Answer:

cherries picked by Noah =3kg

Mia picked = 1/2*3 = 1.5kg

Total cherries picked together = 3+1.5 = 4.5kg

Step-by-step explanation:

Answer:

4.5 or 4 1/2. Based on the given conditions, formulate: 3 + 3 / 2 Find common denominator and write the numerators. ++++=4.5

Step-by-step explanation:

CORRECT THIS ANSWER MARK A BRAIN LESS

The Nice'n'Easy is selling gas for $2.14 per gallon of gas. How much will Sam have to pay for 14.5 gallons?​

Answers

2.14 x 14.5 = $31.03
hope this helps! :)

Answer:

2.14 x 14.5 = $31.03

Step-by-step explanation:

Hope this helped have an amazing day!

if p is directly proportional to 7 and p=12 when t =4 find the value of t when p=18

Answers

Answer:

When p=18, t=6

Step-by-step explanation:

If p and t are directly proportional, then:

p = k.t

Where k is the constant of proportionality.

We are given an initial condition: when p=12, then t=4. Substituting in the equation:

12 = k.4

Solving for k

k = 12/4 =3

The equation is:

p = 3t

Now we are required to find the value of t when p=18:

18 = 3t

Solving for t:

t = 18/3 = 6

t = 6

Thus, when p=18, t=6

A culture started with 6,000 bacteria. After hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number​

Answers

Answer:

that would be c i had that ques 5 mns ago

Step-by-step explanation:

Answer:

It’s 3600

Step-by-step explanation:

Four boxes of cookies cost $18 how much does one box of cookies cost

Answers

Answer:

$5.50

Step-by-step explanation:

Answer:

You would get 4.5 as your answer or 4 1/2

Step-by-step explanation:

You literally just do 18/4

And you get your answer

Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the interval of hours,
t
,
t, for which Company A is cheaper than Company B.

Answers

Answer:

A

Step-by-step explanation:

It charges cheapeer

In a particular triathlon the athletes cover 1/24 of the total distance by
swimming, 1/3 of it by running, and the rest by bike. What is the ratio of
the distance covered by bike to the distance covered by running?​

Answers

Answer:

15/8

Step-by-step explanation:

Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).

d = s + r + b   [1]

1/24 of the total distance is covered by  swimming.

s = 1/24 d   [2]

1/3 of the distance is covered by running.

r = 1/3 d  [3]

If we replace [2] and [3] in [1], we get

d = 1/24 d + 1/3 d + b

b = d - 1/24 d - 1/3 d

b = 24/24 d - 1/24 d - 8/24 d

b = 15/24 d = 5/8 d

The ratio of  the distance covered by bike to the distance covered by running is:

b/r = (5/8 d)/(1/3 d) = 15/8

HELPPPPPPP!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

As you saw in my comments, I explained it.

Thank you for letting me help!

Cheers!

- Kay :)

find the product of 4y²x(xy-2x²)​

Answers

4y²x(xy-2x²)​=4y³x²-8y²x³

Answer:

4y³x² -  8x³y²

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Exponential Properties

Step-by-step explanation:

Step 1: Define

4y²x(xy - 2x²)

Step 2: Multiply

Distribute:                    4y²x(xy) - 4y²x(2x²)Multiply:                       4y³x² -  8x³y²

Solve the linear system using a table.
7a -b=-1
-4a - 2b = -2


A. (0,0)
B. (0,1)
C. (1,0)
D. (1,1)

Answers

The correct answer is:

B. (0,1)

1) Find the sum 4.5 + 5.9

Answers

Answer:

Step-by-step explanation:

Steps are below

step 1

4.5 + 5.9  equation

step 2

4.5 + 5.9  add them together by moving the points

4.5 + 5.9

10.4

find the unit rate round to the nearest hundredth calculator $170 for 14ft2

Answers

Answer:

don't expect people to help when you comment bs under their questions for points, mad weird

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