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Alex73 [517]
3 years ago
13

What is the value of b2 - 4ac for the following equation? 2x 2 - 2x - 1 = 0

Mathematics
1 answer:
Orlov [11]3 years ago
6 0
For you to make an equation a quadratic equation, you need everything to be on one side, so you add one to both sides. 

<span>2x^2 + 3x + 0=0 </span>

<span>a=2, b=3, c=0 </span>

<span>b^2-4ac (In the next step just plug in your variables) </span>

<span>3^2 - 4(2)(0) </span>

<span>9 - 8(0) </span>

<span>9 - 0 </span>

<span>Your answer=9</span>
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Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44
Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

s=r\theta

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43

So, radius = 6.34

Now, finding central angle:

s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

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5 0
2 years ago
Each week Charlene uses 3/4 of a bag of cat food to feed her cats. She has 112 bags of cat food in stock. How long will her stoc
inessss [21]

The stock of cat food will last for 149 weeks.

Step-by-step explanation:

Given,

Bags of cat food in stock = 112

Bags used each week = \frac{3}{4}\ of\ one\ bag

Let,

x be the number of weeks.

Therefore,

\frac{3}{4}x=112

Multiplying both sides by 4/3

\frac{4}{3}*\frac{3}{4}x=112*\frac{4}{3}\\x=\frac{448}{3}\\x=149.33

Rounding off to nearest whole number;

x=149

The stock of cat food will last for 149 weeks.

Keywords: fraction, multiplication

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4 0
3 years ago
The use of the internet is constantly growing. How many randomly selected adults must be surveyed to estimate the percentage of
Alika [10]
Out of those 2 answers I believe your answer would be B only because 81% of Americans in the us have a phone and 35% of people in the us check there phone more than 50 times per day
7 0
2 years ago
The 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio​
Ymorist [56]

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

7 0
3 years ago
The difference of 10 and the product of n and 2 is 4 which operation models this​
vagabundo [1.1K]

Answer:

10 - 2n - 4

Step-by-step explanation:

The product of n and 2 is 2n.

Then 10 - 2n is the difference of 10 and the product of n and 2.

In conclusion, we have:  

10 - 2n - 4

3 0
3 years ago
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