Please please please help me

What equation results from completing the square and then factoring? x2 + 6x = 13

larisa [96]

Step 1: Subtract 13 from both sides.
x^2+6x−13=13−13x^2+6x−13=0
Step 2: Use quadratic formula with a=1, b=6, c=-13.
x=−b±√b2−4ac2ax=−(6)±√(6)2−4(1)(−13)2(1)
x=−6±√882
x=−3+√22 or x=−3−√22
Answer would be
x=−3+√22 or x=−3−√22

7 0

4 years ago

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Heya!

nataly862011 [7]

Answer:

$m\angle QSN=65^\circ$

Step-by-step explanation:

In the given figure, PQRS is a rhombus and SRM is an equilateral triangle.

We are also given that SN⊥RM and that ∠PRS = 55°.

And we want to find the measure of ∠QSN.

Remember that since PQRS is a rhombus, the angles formed by its diagonals are right angles. Let the intersection point of the diagonals be K. Therefore:

$m\angle RKS=90^\circ$

Now, RKS is also a triangle. The interior angles of all triangles must be 180. Thus:

$m\angle RKS+m\angle KSR+m\angle SRK=180$

Substitute in known values:

$90+55+m\angle KSR=180$

Solve for ∠KSR:

$m\angle KSR+145=180\Rightarrow m\angle KSR=35^\circ$

Since SRM is an equilateral triangle, this means that:

$m\angle SRM=m\angle RMS=m\angle MSR=60^\circ$

Note that RNS is also a triangle. Therefore:

$m\angle SRM+m\angle RNS+m\angle NSR=180$

Substitute in known values:

$60+90+m\angle NSR=180$

So:

$m\angle NSR+150=180\Rightarrow m\angle NSR=30^\circ$

∠QSN is the addition of the two angles:

$m\angle QSN=m\angle KSR+m\angle NSR$

Therefore:

$m\angle QSN=35+30=65^\circ$

4 0

3 years ago

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Error analysis help me out

IrinaK [193]

Answer:

1 - sin² θ = 1 - ( 1 - cos² θ) = cos² θ

tan x csc x = (sin x / cos x) * 1 / sin x = cos x

Step-by-step explanation:

1 - sin² θ = 1 - ( 1 - cos² θ) = cos² θ

tan x csc x = (sin x / cos x) * 1 / sin x = cos x

5 0

4 years ago

There are two numbers whose sum is 71. One number is twice the other. What are the numbers?

MrMuchimi

Hello! I would love to help!

Let's think...

What number times 2 plus that number is equal to 71.

Let's set up an equation!

What number times 2 (2x) + that number (x) is equal to 71?

Let's write the formal equation now!

2x + x = 71

Let's solve!

Start by combining like terms!

2x +x is 3x

Okay, now we have 3x=71

Let's solve by dividing each side by 3.

Now we have 23.667 or 23 2/3=x

So, the first number is 23 2/3

Let's multiply that by 2 to get the other number!

23 2/3*2= 47 1/3

So, the two answers are 47 1/3 and 23 2/3.

To check, you can add them together, and see if it comes out as 71.

47 1/3 + 23 2/3 = 71

Those are the right answers!

Hope this helps! Comment if you have questions! :)

4 0

3 years ago

a sample of 120 employees of a company is selected, the average age is found to be 37 years. determine whether the given value i

Fittoniya [83]

Answer:

The given value is a statistic

Step-by-step explanation:

* Lets explain the difference between statistic and parameter

- A statistic and a parameter are very similar

- They are both descriptions of groups

- The difference between a statistic and a parameter is that

statistics describe a sample and a parameter describes an

entire population

- Ex:

# If we selected a random sample of 100 students from a school

with 1000 students. The average weight of the sampled students

would be an example of a statistic

# The average height of adult women in the United States is

a parameter

* Lets solve the problem

- A sample of 120 employees of a company is selected, the average

age is found to be 37 years

∵ It is a sample of 120 employees of a company selected

∵ The average age is 37 years

∵ Statistics are numbers that summarize data from a sample

∴ The given value is a statistic

8 0

3 years ago

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