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3 years ago

Y varies directly with x and y = 12 when x =5 what is the value of y when x = 8

1 answer:

3 0

Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.

x=5 --> y=12
x=8 --> y=?

? = (8*12)/5 = 96/5 = 19.2

So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.

Hope this Helps! :D

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Pls pls help I’m really confused could someone explain to me pls

kenny6666 [7]

Answer: 11.6

--------------------------------------

Explanation:

See the attached image for a visual reference

The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)

We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle

Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to 11.6 when rounding to the nearest tenth (one decimal place)

3 0

2 years ago

Hii! I need some help, would anyone mind helping me?

Kisachek [45]

Step-by-step explanation:

${x}^{2} - 14x - 25 {y}^{2} + 100y = 76$

Factor by grouping,

$( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76$

Complete the square, with the x variables,

$( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125$

Factor out 25 for the y variables

$( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125$

Complete the square

$( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25$

Simplify the perfect square trinomial

$(x - 7) {}^{2} - 25(y - 2) {}^{2} = 25$

Make the right side be 1 so divide everything by 25.

$\frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1$

Here our center is (7,2).

8 0

2 years ago

Pls help me for once....

ryzh [129]

The answers are C and also D

3 0

2 years ago

What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

andre [41]

Answer:

The perimeter is 38.25 units

Step-by-step explanation:

The perimeter of the tra-pezoid is the distance around it.

The length of the bases can be found using the absolute value method.

|RS|=|20-14|=6 units.

|TQ|=|22-8|=14

Recall the distance formula;

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

We use the distance to find the non parallel sides.

$|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25$ units.

and

$|QR|=\sqrt{(8-14)^2+(16-8)^2} =10$ units.

The perimeter of the tra-pezoid is

=14+10+6+8.25=38.25

7 0

3 years ago

Read 2 more answers

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wolverine [178]

Answer:

f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞

Step-by-step explanation:

f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞

*this is because the graph shows that the y value cannot pass by 2 as the x value constantly decreases and as x is increasing, there is just an arrow showing that the graph is constantly going up and therefore going to ∞

6 0

2 years ago