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melomori [17]
9 months ago
13

ABCD is a parallelogram. If ad = 2x + 10 and CD = 4x - 20, for what value of x will abcd be a rhombus

Mathematics
1 answer:
dimaraw [331]9 months ago
3 0

Answer:

15

Step-by-step explanation:

All sides of a rhombus are equal, so

2x+10=4x-20 \\ \\ 10=2x-20 \\ \\ 2x=30 \\ \\ x=15

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a metal alloy weighing 3 mg and containing 40% copper is melted and mixed with 2 mg of pure copper. what percent of the resultin
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Write the equation in vertex form for the parabola with focus (7, –27/4) and directrix y= – 13/4
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Answer:

x2 +8x +4y +4 = 0

4y= -x2 -8x -4y = -.25*x^2 -2x -1

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h = -b / 2a

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y position of vertex:

k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3

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y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2

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Answer is the last one.

7 0
2 years ago
Forty percent of the players on a soccer team are experienced players. The coach wants to increase this percent. There are 10 pl
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8 0
3 years ago
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If (x-1)(x+5)=(x-h)^2+K then what is the value of h
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Solve for h:   (I'm using the completing the square)
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K + (x - h)^2 = (x - 1) (x + 5)
Subtract K from both sides:
(x - h)^2 = (x - 1) (x + 5) - K
Take the square root of both sides:
x - h = sqrt((x - 1) (x + 5) - K) or x - h = -sqrt((x - 1) (x + 5) - K)
Subtract x from both sides:
-h = sqrt((x - 1) (x + 5) - K) - x or x - h = -sqrt((x - 1) (x + 5) - K)
Multiply both sides by -1:
h = x - sqrt((x - 1) (x + 5) - K) or x - h = -sqrt((x - 1) (x + 5) - K)
Subtract x from both sides:
h = x - sqrt((x - 1) (x + 5) - K) or -h = -x - sqrt((x - 1) (x + 5) - K)
Multiply both sides by -1:
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Solve for h: using the quadratic formula)
(x - 1) (x + 5) = K + (x - h)^2
(x - 1) (x + 5) = K + (x - h)^2 is equivalent to K + (x - h)^2 = (x - 1) (x + 5):
K + (x - h)^2 = (x - 1) (x + 5)
Expand out terms of the left hand side:
h^2 + K - 2 h x + x^2 = (x - 1) (x + 5)
Subtract (x - 1) (x + 5) from both sides:
h^2 + K - 2 h x + x^2 - (x - 1) (x + 5) = 0
h = (2 x ± sqrt(4 x^2 - 4 (K + x^2 - (x - 1) (x + 5))))/2:
<span>Answer:  h = x + sqrt(-5 - K + 4 x + x^2) or h = x - sqrt(-5 - K + 4 x + x^2)</span>
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An experiment consists of drawing 1 card from a standard 52 card deck? What is the probability of drawing a queen?
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