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2 years ago

Factor x2+12x+35 , I appreciate all the kind generous help I can receive

Mathematics

1 answer:

stellarik [79]2 years ago

8 0

So, to factor out the equation x²+12x+35, first multiply the first and last numbers.
1×35=35
So, you need to find the multiples of 35 that add up to 12.
So, you find 7 and 5. These two numbers are the magic numbers that will be used as the correct factored form of x²+12x+35, because:
>7×5=35
>7+5=12
So, using these two numbers, you get your factored form as:
(x+5)(x+7)

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SSSSS [86.1K]

Answer:

Picture 1

Your choice C is correct

(x - (-2))² + (y - 9)² = 5² ⇒
(x + 2)² + (y - 9)² = 25

Picture 2

(x + 5)² + (y - 6)² = 36
(x - (-5))² + (y - 6)² = 6²
r = 6, (h, k) = (-5, 6)

Correct choice is C

Picture 3

(x + 5)² + (y + 2)² = 81
(x - (-5))² + (y - (-2))² = 9²
r = 9, (h, k) = (-5, -2)

Correct choice is C

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2 years ago

What is the equation of the line that passes through the point (3, 1) and the point (6,-1)?

neonofarm [45]

Answer:

Step-by-step explanation:

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1 year ago

Convert: : 23.7 cm = mm

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237

Step-by-step explanation:

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2 years ago

Read 2 more answers

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BlackZzzverrR [31]

Kelby drank 168 glasses of water per week
i.e 24 glasses per day

Since 8 eight-ounce glass of water is for every 50 pounds.
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3 years ago

The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft

cluponka [151]

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 2.387

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

7 0

2 years ago