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3 years ago

Write equations for the vertical and horizontal lines passing through the point (8,-9)

Mathematics

1 answer:

Lilit [14]3 years ago

7 0

Answer:

x = 8 and y = - 9

Step-by-step explanation:

The equation of a vertical line is x = c

Where c is the value of the x- coordinates the line passes through

The line passes through (8, - 9) with an x- coordinate of 8, thus

Equation of vertical line is x = 8

The equation of a horizontal line is y = c

Where c is the value of the y- coordinates the line passes through

The line passes through (8, - 9) with y- coordinate - 9, thus

The equation of the horizontal line is y = - 9

You might be interested in

* Find the area of a triangle: Base of 8 cm Hight of 9 cm

Sliva [168]

Answer:

36 cm

Step-by-step explanation:

The formula to find the area of a triangle is A=1/2bh where b stands for base and h for height.

So, 8 times 9 equals 72, and 72 divided by 2 is 36.

5 0

2 years ago

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu

dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

The graph is missing; however, the question can still be solved

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

$y = mx + b$

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

$47.84 = 1.55 * 15 + b$

$47.84 = 23.25 + b$

Subtract 23.25 from both sides

$47.84 - 23.25= 23.25 - 23.25 + b$

$24.59 = b$

$b = 24.59$

Solving for the monthly cost for 9 HCF

Here, we have that

$x = Amount\ of\ water = 9$

$m = Slope = 1.55$

$b = 24.59$

Substitute these values in the linear function; $y = mx + b$

$y = 1.55 * 9 + 24.59$

$y = 13.95 + 24.59$

$y = 38.54$

Hence, the monthly cost for 9 HCF is $38.54

5 0

2 years ago

the midpoint is AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B.

cestrela7 [59]

Answer:

The required points of the given line segment are ( - 1, - 5 ).

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ )then the mid points M are-

M = ( $\frac{ x_{1} + x_{2} }{2}$ , $\frac{ y_{1} + y_{2} }{2}$ )

Here,

Let A ( 7, - 9 ), B ( x, y ) with midpoint M ( 3, - 2 ) -

then by the midpoint formula M are-

( 3, - 2 ) = ( $\frac{ 7 + x}{2}$ , $\frac{ - 9 + y}{2}$ )

On comparing x coordinate and y coordinate -

We get,

( $\frac{ 7 + x}{2}$ = 3 , $\frac{ - 9 + y}{2}$ = - 2)

( 7 + x = 6, - 9 + y = - 4 )

( x = 6 - 7, y = - 4 + 9 )

( x = - 1, y = -5 )

Hence the required points A are ( - 1, - 5 ).

We can also verify by putting these points into Midpoint formula.

8 0

2 years ago

A seller of the property listed at $200,000 excepted a 90% offer the home appraised at $185,000 and the buyers obtained a loan f

Elza [17]

Answer:

$637.50

Step-by-step explanation:

According to the Question,

Given That, A seller of the property listed at $200,000 excepted a 90% offer the home appraised at $185,000 and the buyers obtained a loan for 85% for 30 years at 5% interest

Thus, the first months interest is

$200,000 list price x 0.90 = $180,000 contract sales price.

Since lender always uses the less of the appraised value or the contract sales price, use $180,00 for the remainder of the calculations.

$180,000 contract sales price x 0.85 LTV = $153,000 loan.

$153,000 loan x 0.05 interest rate = $7,650 annual interest.

$7,650 ÷ 12 = $637.50 monthly interest payment for the first month.

5 0

2 years ago

Read 2 more answers

Over the last three evenings, Diane received a total of 105 phone calls at the call center. The third evening, she received 4 ti

sergij07 [2.7K]

Answer:

Make an eqaution from here.
Let’s make evening 2 “x”

So the first evening has 9 less then the secon evening so…
x-9
Of course theres the second evening (x).

X-9+x
Then the third evening has 4 times as much as the second meeting so…
x-9+x+4x

And when solved, it has to equal 105.

So solve from here.
Combine like terms.

6x-9=105
Isolate

6x=114
x= 19

First evening is 9 less then 19, so 10.

The second evening was 19 calls.
The third evening was 4 times the second evening so, 19*4= 76

1st night = 10

2nd night= 19 calls
Thrid night= 76 calls

8 0

2 years ago