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Andrej [43]
3 years ago
7

-5x + 9y = 14 -3x + 9y = -6

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0
You can solve it by several ways, but easiest and shortest would be "By Elimination"

So, subtract 2nd equation from 1st, 
-2x = 20
x = -10

Substitute it in 2nd equation, 
-3(-10) + 9y = -6
30 + 9y = -6
9y = -6 - 30
y = -36/9
y = -4

In short, Your Answer would be: (-10, -4)

Hope this helps!
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Use the rectangle to the right. Write your answer in simplest form.
DochEvi [55]

Answer:

perimeter: 12x-6

area: 6x-10

Step-by-step explanation:

PERIMETER:

6x-5(2)+2(2)

12x-10+4

12x-6

AREA:

6x-5•2

6x-10

4 0
3 years ago
Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
Citrus2011 [14]

Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.

Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).

one side of the length is not counted for perimeter because one side of length will be against the barn.

Perimeter = 400 ft

Perimeter of rectangle = L + W + W

400 = L + 2W

L = 400 - 2W

Area = L * W

Replace L by  400 - 2W

A(W) =  (400 - 2W) * W

A(W) = -2W^2 + 400W

Now we find out x coordinate of vertex to find the width that maximize the area

W = \frac{-b}{2a}

a= -2 and b = 400

W = \frac{-(400)}{2(-2)}=100

The width  w would maximize the area is w = 100ft

To find maximum area we plug in 100 for W in A(W)

A(W) = -2W^2 + 400W

A(W) = -2(100)^2 + 400(100)= 20000

the maximum area is 20,000 square feet

6 0
3 years ago
Why aren't the numbers 38 and 40 relatively prime​
sergey [27]

Answer:

may be this is helpful!

5 0
3 years ago
Read 2 more answers
2.37 / x = 1<br> What is x?
NeTakaya

Answer: 2.37

Step-by-step explanation:

Multiply each side by x to get  rid of the denominator on the left side.

You get:

2.37 = 1x

1x = x

Therefore, 2.37 = x.

Also, any number divided by itself must be 1.  

3 0
3 years ago
Read 2 more answers
Jamie takes at random a counter from the bag and records the colour. Red : blue : green = 1:3:7 Jamie does this a number of time
Sonbull [250]

Answer: There are 249 times Jamie takes a counter from the bag.

Explanation:

Since we have given that

Ratio of colour of red to blue to green is 1:3:7.

Number of blue counters = 68

Let the total number of times Jamie does from the bag be x.

So, According to question,

\frac{3}{11}\times x=68\\\\x=\frac{11}{3}\times 68\\\\x=249.33\\\\=249\ approx.

Hence, there are 249 times Jamie takes a counter from the bag.

8 0
3 years ago
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