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djverab [1.8K]
3 years ago
14

Consider the system of linear equations. 2y = x + 10 3y = 3x + 15

Mathematics
1 answer:
Art [367]3 years ago
5 0
I hope this helps you

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A rectangular playground is 10m longer than it is wide.The area of the playground is 1400m² Calculate the width and length of th
Bezzdna [24]

Answer:

1400 = x(x+10)= x^2 +10x

We can rewrite this expression like this:

x^2 +10 x -1400 =0

And we can use the quadratic formula given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a =1 , b=10 , c= -1400

And replacing we got:

x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}

And solving we got:

x_1 =32.75 , x_2 = -42.75

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Step-by-step explanation:

For this case we know that we have a rectangular playground and the area can be founded with this formula:

A = xy

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

y = 10 +x

And replacing this formula into the area we got:

1400 = x(x+10)= x^2 +10x

We can rewrite this expression like this:

x^2 +10 x -1400 =0

And we can use the quadratic formula given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a =1 , b=10 , c= -1400

And replacing we got:

x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}

And solving we got:

x_1 =32.75 , x_2 = -42.75

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

8 0
3 years ago
Read 2 more answers
Can you please help me thank you so much
77julia77 [94]

Answer:

I would say angle 6 is supplementary to angle 3.

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees.

Angles 6 and 3 are right angles.

90 + 90 = 180

Hope I helped!

8 0
3 years ago
Read 2 more answers
KAKAKAKA REMAVADE YAYAYA HELP
goldenfox [79]

Answer:

Its b

Step-by-step explanation:

you line them up then multiply the denominator of 3/4 to match 1/8. So if 4x2=8 then you do 3/4x2=6/8. so then the answer would be B and 7/8

Hope that helped and it wasnt confusing haha. (to simplify the answer if B and 7/8)

7 0
4 years ago
Two angles are complementary. One angle is ten less than four times the other angle. Find the measure of the larger angle
Nimfa-mama [501]

Answer:

B.70

Step-by-step explanation:

For one or two angles are complementary angle(s), they have to equal 90°.

So, we need to find the larger angle, but what about the other?

Let x be the other angle and y be the angle we are looking for

x + y = 90

Lets look for x first, since one angle is ten less than four times the angle we are looking for or visa versa, we must:

y = 4x - 10

For an exchange, lets take out the y variable for another x variable:

So now we should have x + 4x - 10 = 90

Combine like terms and do cross equation :

x + 4x -10 = 90

5x - 10 = 90

Add 10 to both sides:

5x = 100

100/5 = 20

So <u><em>x=20</em></u>

<u><em></em></u>

Now for y which is what we are looking for,

y = 4x - 10

Since x is 20, plug it in

y = 80 - 10

y=70 is our larger angle

5 0
3 years ago
Help out.........................................................................
solniwko [45]
3.4 = -13.6 - 3.4c + 1.7c
3.4 = -13.6 - 1.7c
1.7c = -13.6 - 3.4
1.7c = 17
c = 10
8 0
3 years ago
Read 2 more answers
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