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3 years ago

A line with a slope of 3 passes through the points (9,7) and (10,c) what is the value of c?

Mathematics

2 answers:

Zina [86]3 years ago

7 0

Answer:

The answer is 4. The line passes through the point (10,4).

Step-by-step explanation:

Nookie1986 [14]3 years ago

5 0

Answer:

Value of c=8

Step-by-step explanation:

In this example we are given two points, (9, 7) and (10, c), on a straight line.

o let's take (9, 7) to be (x2, y2). Let's take the point (10, c) to be the point (x1, y1)

Fomula of slope is y2-y1/x2-x1

=7-c / 9-10

=7-c/-1

-1=7-c

-1-7=-c

-8=-c

c=8

Hence Value of c is 8

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5x-4y+-13 and 3x-4y+-11

drek231 [11]

5x + -4y = 13

Solving
-5x + -4y = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y

Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y

Divide each side by '-5'.
x = -2.6 + -0.8y

Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0

Reorder the terms:
-11 + 3x + -4y = 0

Solving
-11 + 3x + -4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11

Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11

Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 11 + 4y
3x = 11 + 4y

Divide each side by '3'.
x = 3.666666667 + 1.333333333y

Simplifying
x = 3.666666667 + 1.333333333y

3 0

3 years ago

Read 2 more answers

A rectangle whose perimeter is 110 feet. The length is 4 times as long as the width. Find the length and the width.

madreJ [45]

Set up a system of equations.
l=4w
2l+2w=110

Substitute l in to the second equation.
2(4w)+2w=110
8w+2w=110
10w=110
w=11

Substitute w back into the first equation.
l=4(11)=44

So, the length is 44 feet and the width is 11 feet.

Hope this helped!

8 0

2 years ago

Which fraction is in the simplest form of 224/360?

barxatty [35]

28/35 which u can't go any further than this bc 35 isn't divisible by 2 nor is 28 divisible by 5

5 0

2 years ago

The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t

wolverine [178]

Answer:

a) The implied differential equation is $\frac{dN}{725 - N} = kdt$

b) The general equation is $N = 725 - C e^{-kt}$

c) The particular equation is $N = 725 - 325 e^{-0.49t}$

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, $\frac{dN}{dt} \alpha (725 - N(t))$

$\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt$

Integrating both sides of the equation

$\int {\frac{1 }{725 - N}} \, dN = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}$

When t = 0, N = 400

$400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325$

When t = 3, N = 650

$650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49$

The equation for the population becomes:

$N = 725 - 325 e^{-0.49t}$

At t = 5, the population becomes:

$N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697$

N(5) = 700 ( to the nearest 50)

6 0

3 years ago

You are using an exponential smoothing model for forecasting. The running sum of the forecast error statistics (RSFE) is calcula

faltersainse [42]

Answer:

A)85

Step-by-step explanation:

Calculation for the resulting tracking signal

Using this formula

Tracking signal= Last forecast error statistics (RSFE) /Low MAD (Mean Absolute Deviation)

Let plug in the formula

Tracking signal=34/0.4

Tracking signal=85

Therefore the resulting tracking signal will be 85

7 0

2 years ago