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Sonja [21]
3 years ago
11

Answer the following question, show all work:

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

12

Step-by-step explanation:

9+3= 12

It was 9 below zero and then went to three above zero so you had 9 and 3

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(-4,6); slope = -3/4
Ostrovityanka [42]

Answer:

y = - \frac{3}{4} x + 3

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{3}{4} , thus

y = - \frac{3}{4} x + c ← is the partial equation

To find c substitute (- 4, 6) into the partial equation

6 = 3 + c ⇒ c = 6 - 3 = 3

y = - \frac{3}{4} x + 3 ← equation of line

3 0
3 years ago
4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p
cricket20 [7]

Answer:

Point E is given by \left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Step-by-step explanation:

Let points C and D be (x_0,y_0),\,(x_1,y_1) and let point E divides it in ratio m:n.

Then coordinates of point E are given by \left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )

Put m:n=3:4

Point E is given by \left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Now plot point E.

Download pptx
3 0
4 years ago
a rectangular dog kennel is to be constructed alongside a house with 60m of fencing. If the house serves as one side of the kenn
Basile [38]

Answer:

450\text{ m}^2.

Step-by-step explanation:

Let x represent side of kennel opposite to house and y represent other sides.

We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.

Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:

x+y+y=60

x+2y=60

Let us solve for x.

x+2y-2y=60-2y

x=60-2y

The area of the kennel would be product of its sides that is:

\text{Area}=x\cdot y

Now, we will substitute x=60-2y in area equation as:

A(y)=(60-2y)\cdot y

A(y)=60y-2y^2

Let us find the derivative as shown below:

A'(y)=60-4y

Now, we will set derivative equal to 0 and solve for y.

60-4y=0

60=4y

\frac{60}{4}=\frac{4y}{4}

y=15

Upon substituting y=15 in area function, we will greatest possible area.

A(y)=60y-2y^2

A(15)=60(15)-2(15)^2

A(15)=900-2(225)

A(15)=900-450

A(y)=450

Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.

5 0
3 years ago
You want to deliver a package to japan.the fed ex delivery service charges a $15 flat fee plus $2 per additional kilogram. You c
Blababa [14]
Depending on how heavy the package is, you should take the Fed Ex if the package is heavy, and the UPS for something that is small
7 0
3 years ago
What is the sum of the infinite geometric series?
Gennadij [26K]

Answer: An infinite geometric series is the sum of an infinite geometric sequence . This series would have no last term. The general form of the infinite geometric series is a1+a1r+a1r2+a1r3+... , where a1 is the first term and r is the common ratio. We can find the sum of all finite geometric series.

Step-by-step explanation:

5 0
3 years ago
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