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KATRIN_1 [288]
3 years ago
12

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a

if the quantity b doubts?
Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

quantity a is halfed

Corrected question;

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Step-by-step explanation:

Analysing the question;

A quantity a varies inversely as a quantity b,

a ∝ 1/b

a = k/b ......1

when b changes a changes in the inverse ratio;

Since the change at the same ratio but inversely, k = 1

So, equation 1 becomes;

a = 1/b

If the quantity b doubles,

ab = 1

a1b1 = a2b2

When b doubles, b2 = 2b1

a1b1 = a2(2b1)

Making a2 the subject of formula;

a2 = a1b1/(2b1)

a2 = a1/2

Therefore, when b doubles, a will be divided by 2, that means a is halfed.

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Josh had zero melons because he never got any .
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3 years ago
Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.
bulgar [2K]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at  A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by  factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Step-by-step explanation:

6 0
3 years ago
What is the discriminant of 3x^2 - 10 = -2?
Tatiana [17]
The formula for the discriminant is b^2-4ac. The formula you wote is in the form of 
ax^2+c=0, so first, you need to bring that -2 to the left. When you do that, you get (the original equation would be ax^2+bx+c but you have no bx.)

3x^2-8

So, since there's no b, it would be
b^2-4ac
0^2-4(3)(-8
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96

7 0
3 years ago
Find the distance between the pair of points that given on the graph?
katen-ka-za [31]

Answer:

\displaystyle d = \sqrt{74}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Reading a coordinate plane
  • Coordinates (x, y)

<u>Algebra Ii</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find endpoints from graph</em>

Point (-3, -3)

Point (4, 2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(4- -3)^2+(2- -3)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                    \displaystyle d = \sqrt{7^2+5^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{49+25}
  4. [√Radical] Add:                                                                                                  \displaystyle d = \sqrt{74}
8 0
2 years ago
Help me please this is due today
marshall27 [118]

Answer:

it is D.

Step-by-step explanation:

I wish it helps you

8 0
2 years ago
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