All categories

3 years ago

Solve with Quadratics

Mathematics

1 answer:

leonid [27]3 years ago

6 0

Answer:

x = 1 ± $\sqrt{6}$

Step-by-step explanation:

Given

2x² - 4x = 10 ( divide through by 2 )

x² - 2x = 5

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 5 + 1

(x - 1)² = 6 ( take the square root of both sides )

x - 1 = ± $\sqrt{6}$ ( add 1 to both sides )

x = 1 ± $\sqrt{6}$ ← exact solutions

You might be interested in

PLEASE HELP WITH #14 AND #7 PLEASE A.S.A.P !!!

kodGreya [7K]

Answer:

7.) 16.7

Step-by-step explanation:

7). First you have to find the length of the line with the triangle that is at a 90 angle with the longest side of the triangle

Using the pythagrorem theorem a² + b² = c²

4² + b² = 5²

b² = 5² - 4²

b² = 25 - 16

b² = 9

√b² =√9

b = 3

next you do the same thing to find the missing segment of the longest side

3² + b² = 13²

b² = 169 - 9

b² = 160

b = √160 or ≈ 12.7

12.7 + 4 = 16.7

so 16.7 is the length of that side

3 0

4 years ago

What does 2/5 divided by 5 equal

ivanzaharov [21]

2/5 divided by 5 equals 0.08

4 0

4 years ago

Read 2 more answers

Last year, 12 hydrange bushes had a mean of 14 blooms each, with a standard deviation of 2. The dot plot shows the number of blo

Nataly_w [17]

Answer: The plant food produces more blooms on average, but the results aren't as consistent as before.

========================================

Explanation:

The dot plot leads to this data set

{8, 12, 12, 17, 17, 18, 18, 18, 19, 19, 20, 23}

Using pencil/paper, or using technology, you should find the following properties of this data set

mean = 16.75
sample standard deviation = 4.11

The second value is approximate. Both the mean and standard deviation are larger than their original counterparts (mean = 14 and std dev = 2).

Since the mean is larger, this means the data points have been shifted to the right further. The larger standard deviation tells us that the data is more spread out.

So it appears this new plant food has made the number of blooms increase overall, but it's also made the data more inconsistent. A smaller standard deviation would mean a more narrow set of points and therefore more consistent values (they'd all be clumped around the mean better).

6 0

3 years ago

What is the value of cos a?

VARVARA [1.3K]

Answer:

$\frac{7}{25}$

Step-by-step explanation:

Using SOHCAHTOA, you know that Cosine is represented with the side adjacent to the angle (7) on top of the fraction and the hypotenuse (25) on the bottom.

4 0

3 years ago

Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1 4 of a cup of red onions. If t

Sindrei [870]

Answer:

they can make 6 batches

Step-by-step explanation:

1/2 = 2/4 1 = 4/4

so if one batch is 1/4, and 4+2 is 6, they can make 6 batches

5 0

3 years ago