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Sergeu [11.5K]
2 years ago
6

A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimensio

n the resulting region is now 60 square yards in size how much distance was added to each dimension
Mathematics
1 answer:
Korolek [52]2 years ago
4 0

Answer:

The distance added to each dimension is 2 yards.

Step-by-step explanation:

The initial dimensions of the rectangular fence is 8 yards by 4 yards.

The initial area of the rectangular fence = area of a rectangle

area of a rectangle = length x width

So that,

The initial area of the fence = 8 x 4

                                              = 32

The initial area of the fence is 32 square yards.

But, with the new dimensions, area = 60 square yards.

(4 + x) x (8 + x) = 60

x^{2} + 12x + 28 = 60

x^{2} + 12x - 32 = 0

(x + 14) = 0 or (x - 2) = 0

x = -14 or x =2

Thus, x = 2

The distance added to each dimension is 2 yards.

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When solving a 2 step inequality, when do you flip the inequality sign, i keep getting these questions wrong, pls help, i mark b
vaieri [72.5K]
You flip the signs when you are dividing by a negative value.
-2x+3>15
-2x>15-3
-2x>12
x<12/-2
x<-6
Now to test this
Try putting x in the original equation when it is -5.
-2(-5)+3>15
10+3>15
13>15
This is false because our answer says x is less than -6.
Now any value less than -6 will work so let's go with -7.
-2(-7)+3>15
14+3>15
17>15
This result is True.
Hope this helps out!







3 0
3 years ago
How do you make a fraction into a mixed number?
Dennis_Churaev [7]
Ex:  12/5 so first u find the multiple or factor i think of 12 that won't go over which is 10 so it would be 2 2/5 cuz. 5 x 2 = 10 + 2 = 12= 12/5


6 0
3 years ago
An item is regularly priced at $90. It is on sale for 30% off the regular price. What is the sale price
madreJ [45]

Answer:

63

Step-by-step explanation:

Because 30 percent of 90 equals 27

Thus

90 - 27 = 63.

Please mark brainliest and give 5 stars.

3 0
2 years ago
ANY HELP IS APPRECIATED YALL! PLEASE HELP A GIRL OUT :D THANK YOU FOR TAKING YOUR TIME TO HELP ME:)
nignag [31]
D. 180/4=45. That’s the distance in an hour. Then multiply that by 8.
3 0
2 years ago
Read 2 more answers
A segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.
Furkat [3]

The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)

<h3>What is a line segment?</h3>

A line segment is formed by joining two points by a straight line.

Analysis:

The coordinates of point B(x,y) are gotten by the formula

x = \frac{px2 + qx1}{p+q}

y = \frac{py2 + qy1}{p + q}

where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B

are the values of the ratio p:q.

x1 = 4, x2 = 1 y1 = 5,  y2 = 2, p = 1, q = 3

x = \frac{(1 x 1) + (3 x 4)}{1 + 3} = 3.25

y = \frac{(1 x 5) + ( 3 x 2)}{1+3} = 2.75

coordinates of B are ( 3.25, 2.75)

In conclusion, the coordinates of point B are (3.25, 2.75)

Learn more about line segment : brainly.com/question/2437195

#SPJ1

4 0
2 years ago
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