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3 years ago

Write an equation in standard form of the line that passes through (3,-7) and (9,-2)

2 answers:

8 0

Slope = (-2 + 7)/(9 - 3) = 5/6

y = mx + b
-7 = 5/6(3) + b
b = -7 - 5/2
b = - 19/2

equation
y = 5/6x - 19/2

standard form
5/6x - y = 19/2 or 5x - 6y = 57

Vesna [10]3 years ago

6 0

The equation is on the form y=ax+b, hence a(3)+b=-7 and a(9)+b=-2. Then
3a+b=-7
9a+b=-2
Then a=5/6, b=-19/2.
The equation is y=5/6x-19/2.

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URGENT!! PLEASE HELP!!!

olga55 [171]

Answer:

The correct option is B.

Step-by-step explanation:

The formula for amount after compound interest is

$A=P(1+\frac{r}{n})^{nt}$

Where P is principal, r is rate of interest, n is number of times interest compounded in a period, t is number of years.

It is given that Felix took out an unsubsidized student loan of $40,000 at a 3.6% APR, compounded monthly. The amount after 33 month is

$A=40000(1+\frac{0.036}{12})^{33}=44156.1074$

The amount after 33 month is $44156.1074. So, the new principle amount is $44156.1074.

The monthly payment of $44156.1074 for 20 years is

$m=\frac{P.V.(\fracr)}{1-(1+r)^{-n}}$

Where, P.V. is present value, r is rate of interest and n is number of times interest compounded.

$m=\frac{44156.1074(\frac{0.036}{12})}{1-(1+\frac{0.036}{12})^{-20\times 12}}$

$m=258.362447711$

$m\approx 258.36$

Therefore the correct option is B.

9 0

3 years ago

12 divided by 2 x the absolute value of 1.3 minus 2.16

yaroslaw [1]

The value of the expression (12/2)×| 1.3 - 2.16 | is 5.16 .

The Absolute Value of a number means writing the number without the negative sign .

For Example : the absolute value of -2 is |-2| = 2

In the question ,

an expression in words is given as "12 divided by 2 x the absolute value of 1.3 minus 2.16 "

the above expression in numbers can be represented by

= (12/2)×| 1.3 - 2.16 |

= 6 × | 1.3 - 2.16 |

= 6 × |-0.86|

= 6 × 0.86 .... because |-0.86| = 0.86

= 5.16

Therefore , The value of the expression (12/2)×| 1.3 - 2.16 | is 5.16 .

The given question is incomplete , the complete question is

Find the value of the expression " 12 divided by 2 x the absolute value of 1.3 minus 2.16 " ?

Learn more about Absolute Value here

brainly.com/question/26497616

#SPJ1

7 0

1 year ago

A parabolic archway is 12 meters high at the vertex. at a height of 10 meters, the width of the archway is 8 meters. how wide is

Virty [35]

To solve this problem you must apply the proccedure shown below:

1. You have that the parabola is 12 meters high at the vertex and at a height of 10 meters, the width is 8 meter.

2. Therefore, you have:

x^2=-4a(y^2-k)
4^2=-4a(10-12)
16=-40a+48
16=8a
a=16/8
a=2

y=0
x^2=-8(0-12)
x^2=96
x=√96
x=9.79x2
x=19.58

3. Therefore, as you can see, the answer is: 19.58 meters.

5 0

4 years ago

1. A submarine is 40 meters below sea level. It goes up 12 meters, then goes down 30 meters. What is the submarine's new positio

Lilit [14]

Answer:

Question Number 1: C. -58 meters

Question Number 2: 1.45 lbs

Step-by-step explanation:

Question Number 1:

40 - 12 = 28 meters below sea level

28 + 30 = 58 meters below sea level . So respectively its negative, so -58 would be your answer .

Question Number 2:

To figure out how many pounds of carrots are in each cake, divided 7.25 by 5. That equals 1.45. So one cake needs 1.45 pounds of carrots.

8 0

3 years ago

Through:(-1,-5), slope=5

Travka [436]

What exactly are you looking for?

7 0

3 years ago