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Studentka2010 [4]
4 years ago
5

What is an expression for the area of a circle as a function of its circumference?

Mathematics
1 answer:
NISA [10]4 years ago
3 0
\pi\frac{d}{2} ^{2}
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Use the discriminant to find the number and type of solution for x^2+6x=-9​
likoan [24]

Answer:

D = 0; one real root

Step-by-step explanation:

Discriminant Formula:

\displaystyle \large{D =  {b}^{2}  - 4ac}

First, arrange the expression or equation in ax^2+bx+c = 0.

\displaystyle \large{ {x}^{2}  + 6x =  - 9}

Add both sides by 9.

\displaystyle \large{ {x}^{2}  + 6x + 9 =  - 9 + 9} \\  \displaystyle \large{ {x}^{2}  + 6x + 9 =  0}

Compare the coefficients so we can substitute in the formula.

\displaystyle \large{a {x}^{2}  + bx + c =  {x}^{2}  + 6x + 9 }

  • a = 1
  • b = 6
  • c = 9

Substitute a = 1, b = 6 and c = 9 in the formula.

\displaystyle \large{D =  {6}^{2}  - 4(1)(9)} \\  \displaystyle \large{D =  36 - 36} \\  \displaystyle \large{D =  0}

Since D = 0, the type of solution is one real root.

6 0
3 years ago
A gym offers two different membership options. In the first option, new members pay a one-time fee of $50 and a monthly
Mumz [18]

Answer:

needs points sorry hehe

7 0
3 years ago
Y = –8x + 8<br> y = –8x + 8
fiasKO [112]

Answer:

x=0

y=8

Step-by-step explanation:

This is a simultaneous equation

So let's solve

y=-8x+8..(1)

y=-8x+8...(2)

Add (1) and (2)

2y=16

Make y the subject of formula by dividing both sides by 2

y=8

Substitute the value for y into (2)

8=-8x+8

Collect like terms

8-8=-8x

0=-8x

Divide both sides by-8

x=0

Therefore x is 0 and y is 8

5 0
3 years ago
What is the slope of the line which passes through (−2, 0) and (0, 4)?
avanturin [10]

Answer:

slope = 2

Step-by-step explanation:

Slope of a line given two points can be found using slope formula:

\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}

Given two points (-2, 0) and (0, 4):

x_{1}=-2 \\x_{2}=0\\y_{1}=0\\y_{2}=4

Plug them into the equation:

\frac{(4-0)}{(0--2)}=\frac{4}{2}=2

3 0
4 years ago
Only the first Critical Thinking question. (14 points for answer)
harina [27]
#1) (1/7) (2/88) (1/5)
5 0
3 years ago
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