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Damm [24]
3 years ago
10

z varies inversely with the product of x and y. when x=2 and y=4, z=0.5. what is the value of z when x=4 and y=9? please help, i

've tried different things and i can't seem to get the correct answer. my choices are a: 45/2 b: 40/9 c:40 d: 1/9
Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0
If z varies inversely with the product of x and y:
z = k/ (x*y)
0.5 = k/(2*4)
0.5 = k/ 8
k = 0.5 * 8
k = 4.
Therefore, when x = 4 and y = 9:
z = 4 / (4*9) = 4/36 = 1/9
Answer: D ) 1/9 
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nika2105 [10]

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| x | = 7 is nothing more than two vertical lines, namely x=7 or x=-7, as you already wrote down.

| x | = -8 has no (real) solutions, so there is nothing to graph.

7 0
3 years ago
"write the standard form of the equation of the circle with radius 7 and center at (0, 0)."
Leviafan [203]

Try this solution:

1. the standart form of the circle is: (x-x₀)²+(y-y₀)²=r², where point (x₀;y₀) - the cetre of the given circle, r - radius of the given circle.

2. Using r=7 and coordinates of the centre (0;0) it is possible to make up the required equation:

(x-0)²+(y-0)²=7²;

x²+y²=49.

7 0
3 years ago
Need answer quick with full work
kap26 [50]

Answer:

Apply the distributive property.

2x3+4−−x2−(3x)2x3+4--x2-(3x)

Multiply −−x2--x2.

Tap for fewer steps...

Multiply −1-1 by −1-1.

2x3+4+1x2−(3x)2x3+4+1x2-(3x)

Multiply x2x2 by 11.

2x3+4+x2−(3x)2x3+4+x2-(3x)

Multiply 33 by −1-1.

2x3+4+x2−3x2x3+4+x2-3x

Move 44.

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7 0
3 years ago
Kaitlynn needs 3 pounds of fruit for a salad.
gizmo_the_mogwai [7]
If you mean .34 lbs and .13lbs, she would need 2.53
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7 0
3 years ago
Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
Helga [31]

Answer:

Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."

Step-by-step explanation:

Becky completed the proof incorrectly because her justification for the second statement is not totally correct.

Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.

However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".

The sum of supplementary angles = 180°.

Therefore, Becky completed the proof incorrectly.

6 0
3 years ago
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