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3 years ago

a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?

Mathematics

1 answer:

True [87]3 years ago

4 0

Answer:

The ratio between won and lost is $\frac{7}{4}$

Step-by-step explanation:

The question in English is

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

$x=21\ games$

$y=12\ games$

we know that

To find the ratio divide the number of games won by the number of games lost

$\frac{x}{y}$

substitute the values

$\frac{21}{12}$

Simplify

$\frac{7}{4}$

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Check graphically whether the pair of equations 2x-y=1 and x+2y=3 is consistent if so solve them graphically

muminat

Answer:

A(1,1)

Step-by-step explanation:

the system is :

2x-y=1

x+2y=3

so :

y = 2x-1 .....the line color : red

y= (-1/2)x+3/2......the line color : blue

the pair solution is the intersection point for this line : A(1 ; 1)

6 0

3 years ago

What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

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

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

4 0

3 years ago

Which ordered pair is generated from the equation shown below? y = 3x + 2 A. (3, 11) B. (3, 9) C. (5, 15) D. (2, 4)

borishaifa [10]

Answer:

y = 3x + 2

There slope is 3 and intercept is 2.

First find what are the 2 pair that given by slope =3

First consider A. (3, 11) and B. (3, 9)

Tan α = \fraction(11-9)(3-3)

It is undefine.

Next consider A. (3, 11) and BC (5,15)

Tan α = \fraction(15-11)(5-3)

Next consider A. (3, 11) and D. (2,4)

Tan α = \fraction(11-4)(3-2)

Next consider B (3, 9) and C. (5,15)

Tan α = \fraction(15-9)(5-3)

So this is ordered pair is generated from slope =3

Step-by-step explanation:

8 0

2 years ago

Need help with this Q&A 4

ladessa [460]

Answer:

y=4x + 3/4

Step-by-step explanation:

6 0

2 years ago

What’s the answer to

Roman55 [17]

Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?

3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.

Steps:

We set the equation to:

3x+13+7x+2+75=180

We can combine some terms

10x+90=180

Then, we isolate x

10x=90

And we divide by 10

x=9

Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a

3(9)+13

Multiply

27+13

Add

8 0

2 years ago