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VMariaS [17]
2 years ago
8

Here is a rectangle.

Mathematics
1 answer:
NISA [10]2 years ago
6 0

Step-by-step explanation:

Let the area of rectangle with given points are as follows :

A(-3,3)

B(3,2)

C(4,-1) = C( x1,y1)

D(-2,-3) = D( x2, y2)

Now,

  1. The distance of CD = root under

(x2-x)^2 +( y2 - y1)^2

= root under (-2-4)^2 + ( -3+1)^2

= root under (-6)^2 + (-2)^2

= root under 36 + 4

= root under 40

= 2root 10

Therefore; the unit number if CD is 2 root 10.

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Find all zeros of x^4+x
Yuri [45]

Answer:

-1 and 0

Step-by-step explanation:

X ^4+x = 0;

x*(x^3+1)=0;

x*[(x^3-x)+(x+1)]=0;

x*[x(x-1)(x+1)+(x+1)]=0;

x*(x+1)(x^2-x+1)=0;

Since x^2-x+1=0 has no intersection with the X-axis, there is no x value such that y=0

x=0 or -1

4 0
2 years ago
Please Help ASAP. Thanks.
musickatia [10]

Answer:

a = 2

Step-by-step explanation:

If M is the midpoint, 1/2 of FG = FM since FG is the whole length.

FG = 14a + 1

1/2 FG = 1/2(14a + 1)

1/2 FG = 7a + 1/2

The length of the segment FM = 14.5 and that is the same length as 1/2 FG

7a + 1/2 = 14.5

1/2 = 0.5

7a + 0.5 = 14.5        Subtract 0.5 from both sides

7a = 14.5 - 0.5

7a = 14                     Divide by 7

a = 14/7

a = 2

6 0
3 years ago
The street sign shown is a regular hexagon with side lengths (4x+30) centimeters. The perimeter of the sign is 798 centimeters.
MrRissso [65]

Answer:

25.75

Step-by-step explanation:

A hexagon has 6 sides so

6(4x + 30) = 798

distribute

24x +180 = 798

take away 180 from both sides

24x = 618

divide 24 both sides to get the variable by itself

<u><em>X = 25.75</em></u>

7 0
4 years ago
A full glass of water can hold 1/6 of a bottle.
uysha [10]

Answer:

21 glasses of water.

Step-by-step explanation:

You can do a proportion.

\fraction{1 glass}{1/6 of a bottle) or

1 glass/1/6 of a bottle.

x glasses/3.5 bottles.

You can cross multiply.

1/6 times x is 1/6x

1 times 3.5 is 3.5/

1/6x=3.5.

do the reciprocal of 1/6 which is 6.

So, 6 times 3.5 is 21.

Therefore, you have 21 glasses of water.

4 0
4 years ago
Why is the percent not the same as the percent you find from he percent of money
nexus9112 [7]
Percentage is a way to express a relation between two numbers as a fraction of 100<span>. In other words, the percentage tells us how one number relates to another. If we know that number A is </span>25%<span> of number </span>B<span>, we know that </span>A<span> to </span>B<span> is like </span>25<span> is to </span>100<span> (one more transformation: </span>A<span> is four times smaller than </span>B<span>). This is Percentage Calculator's lesson on what is percentage. 
  But in money a percent is how many cents past the dollar the number is.</span>
4 0
4 years ago
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