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Kryger [21]
3 years ago
10

I need some help on this if possible

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

where C is the circumference, d is the diameter and r is the radius.

The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.

If you are given the diameter then use the formula C = πd

If you are given the radius then use the formula C = 2πr

Step-by-step explanation:

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When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
IgorLugansk [536]
<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>

Lets Solve

\\  \rm \longmapsto \:  {x}^{2}  - 8x - 7 = 0 \\  \\  \rm \longmapsto \:  {x}^{2}  - 8 {}^{}x = 7 \\  \\  \rm \longmapsto \: 4( {x}^{2}  - 8x) = 4 \times 7 \\  \\  \rm \longmapsto \:  {4x}^{2}  - 32x = 28 \\  \\  \rm \longmapsto \:  {(2x)}^{2}  - 2 \times 2x \times 8 = 28 \\  \\  \rm \longmapsto \: (2x) {}^{2}  - 2 \times 2x \times 8 +  {8}^{2}  = 28 +  {8}^{2}  \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 64 + 28 \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 92 \\  \\  \rm \longmapsto \: 2x - 8 =  \underline{ + }9.3 \\ \\  \rm \longmapsto \:2x =  8 + 9.3  \: or \: 8 - 9.3 \\ \\  \rm \longmapsto \:2x = 17.3 \:or \:  - 1.3 \\ \\  \rm \longmapsto \:2x = 17.3 \\ \\  \rm \longmapsto \:x =  \frac{17.3}{2}  \\ \\  \rm \longmapsto x = \:8.6

  • Ignore negative value
4 0
3 years ago
What is the b-value in the base exponential function stand for?​
IrinaK [193]

Answer:

the answer is slope be it give U just the formula

6 0
3 years ago
Given y=3x - 4, write an equation that is shifted down 10 and is less steep.
antoniya [11.8K]

Answer:

y = ½x - 14

Step-by-step explanation:

Given the linear equation, y = 3x - 4, where the <u>slope</u>, m = 3, and the <u>y-intercept</u> is (0, -4):

The slope of a linear equation represents the steepness of the line's graph. The higher the value of the slope, the steeper the line. Hence, the slope of the other line must be less than three, but is greater than zero: 0 < <em>m</em> < 3.   (a negative slope will show a <em>declining</em> line).  

Next, the vertical translation of the line involves changing the value of the parent graph's y-intercept. Since the prompt states that the equation must represent a downward vertical shift of 10 units, then the y-intercept of the other line must be (0, -14).

The linear equation that I have chosen that meets the requirements of the given prompt is: y = ½x - 14.  <em>You're more than welcome to choose a different slope</em>, as long as it is less than 3, but is greater than 0 (must be a positive slope).

Attached is a graph of both equations, to demonstrate that the other equation represents a graph with a steeper slope than the original graph.    

3 0
2 years ago
For each statement below, determine whether the statement is a decision variable or not.
Zarrin [17]

Answer and explanation:

Decision variables are variables that are independent(indeoendent variables) and can be controlled by the decision maker. Decision variables influence outcome or result of a solution, usually denoted x in linear programming.

Decision variables above include:

Number of Aqua-Spa Produced.

* Number of Hydro-Lux Produced.

* Number of Pumps Purchased.

* Amount of Available Labor Hours.

* Amount of Available Tubing Available

5 0
2 years ago
Please help me with this:)
LenKa [72]

I'm not 100% sure but I think it's the last two choices

sorry if its wrong

8 0
2 years ago
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