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frozen [14]
3 years ago
15

Rectangle ABCD is graphed in the coordinate plane. The following are the verticies of the rectangle: A(-2,2),B(6,2),C(6,3), and

D(-2,3). What is the area of the rectangle ABCD

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

the area is 8 i think

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Pizzas come in 4 different sizes, each with or without a choice of 5 toppings. How many ways are there to order a pizza?
Lelu [443]

Answer:

There are 20 ways the pizza can be ordered.

Step-by-step explanation:

Choices available in Sizes = 4

Choices available is toppings = 5

Since these choices are mutually exclusive,

So, by the PERMUTATION RULE

Number of ways a pizza can be ordered is :  4  x  5  = 20

So, there are 20 ways the pizza can be ordered.

7 0
3 years ago
Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. Her friend invested the s
Natali5045456 [20]

The right system of equations to describe the situation would be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of Imogene and her friend respectively at the end of t years.

Now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)

<span> </span>

5 0
3 years ago
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

<em>M=(-1,-1)  ----- Missing part of question</em>

Required

Determine the coordinates of D

<em>Let the coordinates of D be (x₂,y₂)</em>

<em>We'll solve this question using mid point formula;</em>

<em></em>M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})<em></em>

<em>Where</em>

C(x_1,y_1) = (2,7)    and     M(x,y) = (-1,-1)

Put these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

By comparison;

-1 = \frac{2+x_2}{2}  and -1 = \frac{7+y_2}{2}

-1 = \frac{2+x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

-2 -2 = x_2

x_2 = -4

-1 = \frac{7+y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

-2 - 7 = y_2

y_2 = -9

<em>Hence, the coordinates of D is (-4,-9)</em>

4 0
3 years ago
The graph of the function f(x) = (x − 3)(x + 1) is shown.
Nutka1998 [239]
Option A. All the real values of x where x < -1

Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.

1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1

The intersection is x >3

2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1

the intersection is x<-1.

We have obtained that the function is positive for the intervals  x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.

You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the  first interval and increasing in the second interval.
6 0
3 years ago
Read 2 more answers
Need help with question 15
GarryVolchara [31]

Answer:

k=110

Step-by-step explanation:

Part 15) we know that

n=klog(A)

Solve for k

That means ----> isolate the variable k

k=n/log(A)

we have

n=440\ wolves

A=10,000\ mi^{2}

substitute

k=440/log(10,000)

k=110

4 0
3 years ago
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