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3 years ago

The perimeter of a rectangle is 90 feet . The length is 27 feet .what is the width of the rectangle

Mathematics

2 answers:

Dima020 [189]3 years ago

7 0

I think it would be 30ft

lana66690 [7]3 years ago

6 0

2(27)+2x=90
54+2x=90
2x=36
x=18 ft

^_^

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Solve the linear system of equations using the linear combination method. {8a−4b=205a−8b=62

Nata [24]

Step 1:

Line up respective variables in column.

$8a-4b=20$ .................(1)

$5a-8b=62$ .................................(2)

Step 2:

We need to multiply first equation with -2 so that the coefficient of b becomes equal and opposite of -8.

$8a-4b=20$ *2

$-16a + 8b=-40$ ...................(3)

Step 3:

Add equation (2) and (3)

$5a-8b=62$

$-16a+8b=-40$

The b terms will cancel out and we are left with only a terms.

-11a = 22

dividing both sides by -11

a=-2

Step 4:

plug this value of a in equation (1) to find value of b,

$8a-4b=20$

$8(-2)-4b=20$

$-16-4b=20$

b=-9

Answer : a=-2 and b =-9

6 0

3 years ago

Whats the answer to 5v - 42 - 73

Natali [406]

The simplified solution to this equation is 5x - 115.

7 0

3 years ago

Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

3 0

3 years ago

Fully simplify −10x3y2(9x)

lbvjy [14]

Answer:

Step-by-step explanation:

-10*9*x^3*x*y^2 = -90x^4y^2

5 0

3 years ago

What is 2,000,000 x 10,000 x 170 x 10E1146?

Valentin [98]

Answer:

3.4*10^1159

Step-by-step explanation:

2,000,000 x 10,000 x 170 x 10E1146

2,000,000 x 10,000 = 2*10^10

2*10^10*170 =340*10^10

Putting this in proper scientific notation by moving the decimal 2 places to the left, means adding 2 to the exponent

3.4*10 ^ (10+2)

3.4*10^12

10E 1146 means 10*10^1146

This is really 1 * 10^(1146+1)

3.4*10^12 * 10^1147

We add the exponents

3.4*10^(12+1147)

3.4*10^1159

5 0

3 years ago