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3 years ago

Write an equation in standard form of the line that passes through (7, -3) and has a y intercept of 3.

Mathematics

2 answers:

SpyIntel [72]3 years ago

4 0

Y=mx+c
-3=7+c
-10=c
y=7x+c

jarptica [38.1K]3 years ago

3 0

Y = 7/-3x(<< write how you would write a fraction) + 3

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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel

timama [110]

Answer:

$\displaystyle A=\frac{1}{192}$

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

$P=4x+3y$

We know the total fencing is 1/2 miles long, thus

$\displaystyle 4x+3y=\frac{1}{2}$

Solving for x

$\displaystyle x=\frac{\frac{1}{2}-3y}{4}$

The total area of the pasture is

$A=x.y$

Substituting x

$\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y$

$\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}$

Differentiating with respect to y

$\displaystyle A'=\frac{\frac{1}{2}-6y}{4}$

Equate to 0

$\displaystyle \frac{\frac{1}{2}-6y}{4}=0$

Solving for y

$\displaystyle y=\frac{1}{12}$

And also

$\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}$

Compute the second derivative

$\displaystyle A''=-\frac{3}{2}.$

Since it's always negative, the point is a maximum

Thus, the maximum area is

$\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}$

6 0

3 years ago

Neep help pls, what is the answer????

saveliy_v [14]

Answer:

No, According to triangle Inequality theorem.

Step-by-step explanation:

Given:

Length given are 4 in., 5 in., 1 in.

We need to check whether with these lengths we can create triangular components.

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

These must be valid for all three sides.

Hence we will check for all three side,

4 in + 5 in > 1 in. (It is a Valid Condition)

1 in + 5 in > 4 in. (It is a Valid Condition)

4 in + 1 in > 5 in. (It is not a Valid Condition)

Since 2 condition are valid and 1 condition is not we can say;

A triangular component cannot be created with length 4 in, 5 in, and 1 in by using triangle inequality theorem (since all three conditions must be valid).

6 0

3 years ago

Two sides of a triangle measure 25 cm and 35 cm. What is the meadure of the third side?

SpyIntel [72]

Answer:

43cm

Step-by-step explanation:

use the pythagorean theorem:

a² + b² = c²

25² + 35² = c²

625 + 1225 = c²

1850 = c²

√1850 = c

43 cm = c

your a, b and c values depend on where the values are on the triangle.

4 0

3 years ago

HELP PLS I DONT KNOW THIS ONE

inessss [21]

Answer:

-------------

(x+2)(x-4)

Step-by-step explanation:

x+4 x+3

------------- * --------------

x^2+5x+6 x^2 -16

Factor

x+4 x+3

------------- * --------------

(x+3)(x+2) (x+4)(x-4)

Cancel like terms

1 1

------------- * --------------

(1)(x+2) (1)(x-4)

------------- x cannot equal -3, -4, -2, 4

(x+2)(x-4)

5 0

3 years ago

They take 5 days to drive 679 miles to Seattle, how many miles will they drive each day?

Kisachek [45]

If they take 5 days to drive 679 miles to Seattle. Then the number of miles that they drive each day will be 135.8 miles per day.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

They take 5 days to drive 679 miles to Seattle.

Then the number of miles that they drive each day will be

→ 679 / 5

→ 135.8 miles per day.

More about the speed link is given below.

brainly.com/question/7359669

#SPJ2

8 0

2 years ago

Read 2 more answers