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Arlecino [84]
3 years ago
15

What is 5 5/6 + 6 3/4

Mathematics
1 answer:
yan [13]3 years ago
5 0
12 7/12

This is the right answer:)<span />
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4x2 +9y2 = 72
Kamila [148]

Answer:

<h2>        \bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}</h2>

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}

4 0
3 years ago
Solve for x in the equation X2-12x+59 = 0.
Slav-nsk [51]

Answer:

Step-by-step explanation:

A -708

7 0
3 years ago
If (x,y) is a solution to the system of equations shown below, what is the product of the y-coordinates of the solutions? x^2+4y
aliina [53]

Answer:

The product of the y-coordinates of the solutions is equal to 3

Step-by-step explanation:

we have

x^{2}+4y^{2}=40 -----> equation A

x+2y=8 ------> equation B

Solve by graphing

Remember that the solutions of the system of equations are the intersection point both graphs

using a graphing tool

The solutions are the points (2,3) and (6,1)

see the attached figure

The y-coordinates of the solutions are 3 and 1

therefore

The product of the y-coordinates of the solutions is equal to

(3)(1)=3

4 0
3 years ago
Does anyone know the answer to this
Alex17521 [72]

Answer: y=-x-8

Step-by-step explanation:

x-int: (-8, 0)

y-int: (0, -8)

m=(y2-y1)/(x2-x1)

m=(-8-0)/(0-(-8))

m=-8/(0+8)

m=-8/8

m=-1

y=mx+b

y=-x+b

-8=-0+b

b=-8

y=-x-8

8 0
2 years ago
What is the equivalent fraction for 4\7
Bingel [31]
4/7 = 8/14 = 12/21 = 16/28, etc
7 0
4 years ago
Read 2 more answers
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