The diagonals of rhombus MATH intersect at P(4,-5). If the equation of the line that
contains diagonal MT is y = -2x + 3, what is the equation of a line that contains
diagonal AH?
y = 1/2x +5
y = -1/2x-7
y = -2x + 5
y= 1/2x - 7

Answers

Answer 1

Answer:

D. y = 1/2x - 7

Step-by-step explanation:

The diagonals of a rhombus are perpendicular:

MT ⊥ AH

We have the equation for MT:

y = -2x + 3

Perpendicular lines have negative-reciprocal diagonals, therefore AH has slope of 1/2.

Since AH passes through point (4, -5), the equation of the line is:

y - (-5) = 1/2(x - 4)y = 1/2x - 2 - 5y = 1/2x - 7

Correct choice is D


Related Questions

What causes a sequence to be arithmetic? Geometric?​

Answers

Answer:

An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.

Step-by-step explanation:

I need some help. I will try to give brainliest

Answers

Answer:

Step-by-step explanation:

What is 2/3 of 9?
2
3
6
7

Answers

Answer: 6

Step-by-step explanation:

2/3 of 9 is basically 2/3 times 9

Answer:

6, because this and that is this and that bam boom bap, just trust me bro

Can anyone help me please:)

Evaluate the expressions below.
14x + 2 and 2(7x + 1)
x = 10

Answers

Answer: 142 and 142

Explanation: 14x + 2 and 2(7x + 1)
14(10) + 2 = 142 and 2(7(10) + 1) = 142

Hope this helped! :)

Answer:

142

Step-by-step explanation:

14x+2

(14)(10)+2

=142

2(7x+1)

2((7)(10)+1)

=142

hope this helped! :]

Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles

Answers

7 days king is the the answer

Juan’s three math quizzes this week took him 1/3 hour, 4/6 hour, and 1/5 hour to complete. List the lengths of time in order from least to greatest.

Answers

Rewrite the fractions to have a common denominator:

1/3 = 10/30

4/6 = 20/30

1/5 = 6/30

Now compare the numerators and list from smallest to largest:

6/30, 10/30, 20/30

The order would be:

1/5, 1/3, 4/6

Answer:

1/5, 1/3, 4/6

Step-by-step explanation:

The bigger the fraction denominator the smaller is.

Please help with this

Answers

9514 1404 393

Answer:

  15.4 square feet

Step-by-step explanation:

The area of the painting will be the area of the sketch multiplied by the square of the ratio of linear dimensions.

  painting area = (0.24 square feet)(8^2) = 15.36 square feet

The area of the painting is about 15.4 square feet.

A car costs 12,000. During a sale, it will cost 10,920. By what percent was the price reduced?

Answers

Answer:

(12000 - 10920) / 12000 = 0.09

Step-by-step explanation:

HELP WITH MATHHH!!!!!!!!!!

Answers

1/5x=14/10
1/5x= 7/5 /*5
x=7

round off all answer in to two decimal places A=p(1+in) Steven won a portion of the local lottery.the price money is to the value of R18000.he wants to invest the money but does not know which bank to choose. FNB offers Steven 5,6/% for 8 years simple interest per annum, Nedbank offers Steven 6,6% for 6 years simple interest per annum and standard bank offers 7,2% for 5 years simple interest determine each bank future value to help Steven decide which bank he should choose FNB NEDBANK STANDARD BANK​

Answers

Answer:

FNB bank

Step-by-step explanation:

FNB = 18000 * 0.056* 8 = 8064

Nedbank = 18000*0.066* 6 = 7128

Standard = 18000*0.072*5=6480

FNB is the best choice for Steven

A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 60°. What is the distance between the piling and the pier to the nearest foot?

Answers

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

[tex]\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet[/tex]

So, the required distance is 225.16 feet.

Number of spots
32
30
28
26
24
22
20
18
16
14
12
10
...
.
2 3 4 5 6 7 8 9 10 11 12 13
Weight (g)
A. negative
Ο Ο Ο
B. parabolic
C. strong

Answers

Answer:32 30 28 16

Step-by-step explanation:

Weekly wages at a certain factory
are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.

Answers

where is the question

If 28 less than five times a certain number is 232 what is the number?

Answers

Answer:

Stepby-step explanation:

The certain number = n

232 = 5n-28

232+ 28 = 5n -28 + 28

260 = 5n

260/5 = 5n/5

52 = n

What is the volume of the composite figure? ASAP PLEASE!!!!

Answers

Answer:

74ft³

Step-by-step explanation:

Okay, so it's basically 3 rectangular figures smashed together so:

We'll do the 2 biggest one's first:

the formula for the volume of a rectangular figure is base x height so we first have to find the base:

4 x 3 = 12

So then we just plug our stuff in here:

12 x 3 = 36

Now there's 2 of these rectangles though so:

36 x 2 = 72

Now we're going to do the one in the middle:

1 x 2 = 2

2 x 1 = 2

Now we add that all together:

72 + 2 = 74

So, the volume of the composite figure is 74ft³

hope this helps:)

Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.

A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH C

B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv

C) using your equation from b will rosalina have enough money for her new tv in four weeks?

also) how would the equation change if rosalina stopped working wasn't able to deposit $40 and had to instead withdraw $40 a week? Which part of your equation would change?

please help!

THANK YOU!!​

Answers

Answer:

Let M represent the amout at any time.

She saves $40 per week so total amount becomes 40x in any specified week.

where x is the number of weeks.

In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes

M = 40x+500

Simply put number of week in place of x and find the total amount.

Step-by-step explanation:

Answer:

for c it is no

Step-by-step explanation:

it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700

Find shaded area. Please help!​

Answers

Answer:

Area of shaded region = 70.88 unit

Step-by-step explanation:

Given:

Height of shaded region = 12 units

Width of shaded region = 8 units

Find:

Area of shaded region

Computation:

Radius of semi circle = Width of shaded region / 2

Radius of semi circle = 8 / 2

Radius of semi circle = 4 unit

Area of shaded region = Area of rectangle - Area of Semi circle

Area of shaded region = [l x b] - [πr² / 2]

Area of shaded region = [12 x 8] - [(3.14)(4)² / 2]

Area of shaded region = 96 - [(3.14)(16) / 2]

Area of shaded region = 96 - 25.12

Area of shaded region = 70.88 unit

The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?

Answers

Answer:

The probability that their average salary;

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500  

(77,500 - 75000)/2500

2,500/2500

= 1  

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

HELP PLSSSS
8^2 b - 3 when b = 3

Answers

Answer:

0

Step-by-step explanation:

If b is 3 then the quiz can be rewritten as

8²3-3

8²0

64×0=0

Well it's just a trial

5g ∙ 7h in standard form

Answers

9514 1404 393

Answer:

  35gh

Step-by-step explanation:

The standard form has one coefficient, and generally has the variables in lexicographical order.

  35gh

Pamela and her friends decided to have a water balloon fight! They got 20 water balloons and
used 6 liters of water to fill them all equally.
how much water was in each balloon?
Write your answer as a proper fraction or mixed number.
liters

Answers

6 litres / 20 balloons = 0.3 litres
Ans 3/10

Answer:

3/10

Step-by-step explanation:

Which product is greater than 63

Answers

3/2 x 63 is greater

Answer:

3/2 times 63

Step-by-step explanation: took quiz

A track star jumped 6 feet. The record is 84 inches. How much further does he need to jump to beat the record?

thank you!!

Answers

Answer:

12 inches or 1 ft.

Step-by-step explanation:

Firstly, convert the 6 feet to inches.

(There are 12 inches in 1 foot)

So, 6 feet is 72 inches (6 * 12)

Now, you can subtract this total from the record, to find how much farther he needs to jump:

84 - 72 = How much further

84 - 72 = 12

Therefore, he needs to jump 12 inches further.

To place in feet form, then convert 12 inches to feet.

(There are 12 inches in a foot)

So, 12 inches is 1 foot

Answer:

1 foot or 12 inches.

Step-by-step explanation:

Since there are 12 incher in every foot, we divide 84 by 12, giving us a total of 7ft. He has to jump 1 foot, or 12 inches more, to beat the record.

LOOK AT THE PHOTO PLEASE

Answers

Answer:

The answer to the question provided is 4.

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: 9x + 4 = 5x + 20 \\ \frac{ - 5x = - 5x}{4x + 4 = 20} \\ \frac{ \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{4x}{4} = \frac{16}{4} } \\ x = 4[/tex]

[I apologize if the answer to the question is inaccurate]

CONVERT THE PERCENTAGES FRACTION 130%​

Answers

Answer:

13/10

Step-by-step explanation:

Its 13/10...

please give brainliest

Answer:

13/10

Step-by-step explanation:

Chloe wants to ride her bicycle 52 miles this week. She has already ridden 16 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal?

Answers

I’m pretty sure 7.2 miles
Answer : 7.2 more miles I think

Because 52 - 16 = 36
36 divided by 5 equals 7.2

PLEASE HELP ME!! A: Given that the triangles are similar, find the length of side KL

Answers

Answer: KL = 7.5

Explanation: Use proportions
JK/KL = MN/NO
3/KL = 2/5
Let KL = x
Cross Multiply: 2x=15
Simplify: x = 7.5

HELP ASAPPPPP! I WILL GIVE BRAINLEST​

Answers

The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.

Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

What is the solution to this equation?
In(2x + 4) = ln(x + 3)

Answers

x= -1 !! hope this helps

The solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is  [tex]x=(-1)[/tex] .

What is log ?

A logarithm is the power to which a number must be raised in order to get some other number .

We have,

[tex]ln(2x + 4) = ln(x + 3)[/tex]

Now, apply log rules

As we have [tex](ln)[/tex] on both which will be cancel out,

    [tex]2x+4=x+3[/tex]

    [tex]3x=3-4[/tex]

    [tex]x=(-1)[/tex]

So, on getting solution to the given equation we get the value of [tex]x=(-1)[/tex] .

Hence, we can say that the solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex]  is  [tex]x=(-1)[/tex] .

To know more about log click here

https://brainly.com/question/82295

#SPJ2

What is 97,000 in scientific notation?

Answers

9.7x10^4 in scientific notation
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