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jekas [21]
3 years ago
5

The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the

dimensions of the rectangle.
Mathematics
1 answer:
son4ous [18]3 years ago
6 0
L = 59+2w
diagonal = 2+l

diagonal^2 = l^2 +w^2

(2+l)^2 = l^2 +w^2

4 +4l +l^2 = l^2 +w^2

4+4l =w^2

l = 59+2w

4+4(59+2w)=w^2

4+236+8w=w^2

w^2 -8w -240 =0

D = 64 +960 = 1024

w_1,2 = (8+/-sqrt1024)/2 = -12 and 20

l=59+2*20=59+40=99

l=99
w=20

hope helped 
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Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.
MArishka [77]

Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ 3x^2-y^2=3...(equation 1)

⇒ y+x-5=0...(equation 2)

According to the 2nd equation, we get

⇒ y+x-5=0

⇒              y=5-x

On substituting the value of "y" in the 1st equation, we get

⇒  3x^2-y^2=3

     3x^2-(5-x)^2=3

     3x^2-(25+x^2-10x)=3

     2x^2+10x-28=0

On taking common, we get

     x^2+5x-14=0

On applying factorization, we get

     x^2+7x-2x-14=0

   x(x+7)-2(x+7)=0

           (x+7)(x-2)=0

                        x+7=0

                              x=-7

or,

                         x-2=0

                                x=2

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

On substituting the values in the above formula, we get

= \sqrt{(2-(-7))^2+(3-12)^2}

= \sqrt{(9)^2+(-9)^2}

= \sqrt{81+81}

= 9 \sqrt{2} units

8 0
3 years ago
Can you help with this one?
deff fn [24]

Answer:

27

90

70

35

Step-by-step:

should be 27 too

90 degree

70 degree

would be around 35

27+70 = x

97 = x

4 0
3 years ago
8 points and brainliest answer if you get it right
stellarik [79]
I think your answer is 78 = x -2
5 0
3 years ago
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Shane, Cheryl, and Isaac went to the store to buy school supplies. Shane bought 4 pens, 3 folders, and 2 notebooks for a total o
vladimir1956 [14]

Answer: 3.00

Step-by-step explanation:

8 0
2 years ago
Anya graphed the line (y-2)=3(x-1) on the coordinate grid.
gregori [183]
Answer: The slope is 3
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3 years ago
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