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3 years ago

Solve y^2+7y+12=0 by completing the square.

Mathematics

1 answer:

kkurt [141]3 years ago

8 0

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

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beks73 [17]

The result of expanding the trigonometry expression $\sin^2(\theta) * (1 + \cos(\theta))$ is $cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)$

<h3>How to evaluate the expression?</h3>

The expression is given as:

$\sin^2(\theta) * (1 + \cos(\theta))$

Express $\sin^2(\theta)$ as $1 - \cos^2(\theta)$ .

So, we have:

$\sin^2(\theta) * (1 + \cos(\theta)) = (1- \cos^2(\theta)) * (1 + \cos(\theta))$

Open the bracket

$\sin^2(\theta) * (1 + \cos(\theta)) = 1 + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)$

Express 1 as cos°(Ф)

$\sin^2(\theta) * (1 + \cos(\theta)) = cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)$

Hence, the result of expanding the trigonometry expression $\sin^2(\theta) * (1 + \cos(\theta))$ is $cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)$

Read more about trigonometry expressions at:

brainly.com/question/8120556

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3 0

2 years ago

A jar contains 17 yellow and 12 green marbles. You randomly draw one marble from the jar then

dexar [7]

Answer:

204/841

Step-by-step explanation:

17/29 times 12/29

3 0

2 years ago

The walls of a room are representations of what basic element of geometry? A. point B. line C. plane D. ray

kkurt [141]

In geometry,

A point represents a point

Two points define a line extended on both sides of the points.

Two points define a ray if it extends on only one side of either of the points.

Three or more than three points define a plane.

Now as far as a wall is considered, it is a flat surface on which we can plot infinite points.

Hence the wall represents a plane.

Option C) is the right answer.

6 0

3 years ago

Read 2 more answers

Lincoln went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 250 mg of sodium and each

Ludmilka [50]

We can solve with a system of equations, and use c for the amount of cans of soup and f for the amount of frozen dinners.

The first equation will represent the amount of sodium. We know the (sodium in one can times the number of cans) plus (sodium in one frozen dinner times the number of dinners) is the expression for the total sodium. We also know the total sodium is 4450, so:

250c + 550f = 4450

The second equation is to find how many of each item are purchased:

c + f = 13

Solve for c in the second equation:

c = 13 - f

Plug this in for c in the first equation:

250(13-f) + 550f = 4450

3250 - 250f + 550f = 4450

300f = 1200

f = 4

Now plug the value for f into the second equation:

c + 4 = 13

c = 9

The answer is 9 cans of soups and 4 frozen dinners.

6 0

3 years ago

Read 2 more answers

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

$P(X)=\frac{e^{-\mu}\mu^x}{x!}$