does the equation have roots? if yes, find them.

x^2=32

Answer:

For the pink triangle, [tex]\alpha +\beta = 90[/tex] degrees

For the yellow triangle, [tex]\beta =35[/tex] degrees

Step-by-step explanation:

You need side lengths to find the rest of the angle measures for the pink triangle and I'm not sure how to find side lengths with coordinates, I'm used to an integer with a unit of measure, maybe someone else could help with that.

By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.

Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -

AC² + BC² = AB²

AC² + (3√3)² = 6²

AC² = 9

AC = 3

So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -

M = ((0+6)/2, (0+0)/2) = (3, 0)

Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -

N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)

Now find the equation of the line passing through M and C, which is the line containing median AM -

slope = (3√3 - 0)/(3 - 0) = √3

y - 0 = √3(x - 3)

y = √3x - 3√3

And find the equation of the line passing through N and A, which is the line containing median CN -

slope = (0 - 3√3)/(0 - 6) = √3/2

y - 0 = (√3/2)(x - 6)

y = (√3/2)x - 3√3

Now, find the intersection point of these two lines, which is point P -

√3x - 3√3 = (√3/2)x - 3√3

x = 6/3.5

x = 12/7

y = √3(12/7) - 3√3

y = 3√3/7

So P is located at (12/7, 3√3/7).

Now use the distance formula to find the length of CP:

CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²

CP² = (33/7)^2 + (6√3/7)^2

CP² = 1089/49 + 72/49

CP² = 1161/49

CP = √1161/7

Therefore, the length of CP is (approximately) 3.43.

To learn more about Pythagoras Theorem from the given link

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Answer:

x = 4.4 cm

Step-by-step explanation:

Since this is a right triangle, the Pythagorean Theorem applies:  a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.

Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:

x^2 = (6.9 m)^2 - (5.3 m)^2, or

x^2 = 47.61 - 28.09 = 19.52

Then the length, x, of the unknown side is x = +√19.52 m, or

x = 4.4 cm

Answer:

s = -24

Step-by-step explanation:

-4(-24 + 20) = 16 TRUE

-24 + 20 = -4 TRUE

(Are there any options for the missing description bit? I'm a little confused what needs to be answered there)

Answer: Cheryl earns $6.20 more per hour.

Step-by-step explanation:

$/hr    OT   $/hr OT

 18     1.5      27

 16.6    2       33.2

Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime).  She earns $6.20 more per hour.  [How's it feel, Colby?].

Cheryl earns more from overtime than Colby by $6.2 per hour.

Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl  = 16.60 * 2= $33.20

So,
33.20 > 27
Implies
Their overtime earnings

of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.

Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.

Learn more about arithmetic here:

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Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

Answer: Tax(240), Total cost(6240)

Step-by-step explanation:

6000 x .04 =240

240 +6000 = 6240

Answer:

12a + 5c = 169

22a + 10c = 314

Step-by-step explanation:

if a = adult tickets and c = children's tickets

12 adult tickets and 5 children's tickets costs 169 dollars

12a + 5c = 169

Also, 22 adult tickets and 10 children's tickets cost 314 dollars

22a + 10c = 314

Answer:

Its D :)

Step-by-step explanation:

Have a good day.

Answer:

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.

Answer:

Percentage change should be 25%

Step-by-step explanation:

25 - 20

---------- x 100%

20

5

---- x 100% = 25% increase

20

25 percent increase

Answer:

5 = k2

k = 2.5

happy learning

Step-by-step explanation:

arithmetic sequence means every new term is the previous term plus a certain constant.

as we can see, this constant is +4 in our case.

15 + 4 = 19

19 + 4 = 23

23 + 4 = 27

...

so, we have

a1 = 15

a2 = a1 + 4 = 15 + 4 = 19

a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23

...

an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4

Answer:

B po? I'm not sure ehh hehehe

Answer:

18

Step-by-step explanation:

2y+3y+5y=180

10y/10=180/10

Y=18

Answer:

2

Step-by-step explanation:

8b - 27 = -11

8b = 16

b = 2

The variable b will equal 2

Let's check

Answer:

An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.

Answer:

  1 ≤ q ≤ 2

Step-by-step explanation:

If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...

  1 ≤ q   and    q ≤ 2

These inequalities can be combined into one compound inequality:

  1 ≤ q ≤ 2

__

Additional comment

We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."

Step-by-step explanation:

1.) distribute (-3/(4x+8)=6)

2.) move 8 (-3/4x=-2)

3.) multiply by 4x (-3= -8x)

4.) divide by -8 (x=2.6)

:)

Answer:

True

Step-by-step explanation:

Answer:

Ram's neighbors probably had more apples than Ram.

Hence, number of apples in the neighbor's house is equal to [tex] \geqslant 5[/tex].

Step-by-step explanation:

Hello bro ufff.... Finally found u xD-,-

Answer:

The second store (10 songs for $9)

Step-by-step explanation:

15 songs/$12 = $1.25 per song

10 songs/$9 = $1.11 per song

Answer:

second

Step-by-step explanation:

second bc if you cross multiply 135>120

Answer:

C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12

Step-by-step explanation:

Answer:

quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12

Step-by-step explanation:

The given function is

We need to expand the RHS to get:

We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.

The quadratic term is -6x²

The linear term is -17x

The constant term is -12

The cost of one concert ticket is approximately  $148.59.

The tickets sales for the local sales is totalled $101, 244 yesterday.

ticket sales yesterday = $101244

He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)

The cost of one ticket can be calculated below:

cost of one ticket = 143,836 / 968

cost of one ticket = 148.590909091

cost of one ticket ≈ $ 148.59

read more: https://brainly.com/question/15471320?referrer=searchResults

[tex]A = \frac{B r_{1}r_{2}}{ C {x}^{2} } \\ = > A C {x}^{2} = B r_{1}r_{2} \\ = > r_{1} r_{2} = \frac{A C {x} ^{2} }{B} \\ = > r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]

[tex]r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]

Hope it helps.

Do comment if you have any query.

Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

[tex]MagicalNature[/tex] here to  help

Answer:

The answer is 65.

Maybe there is another option that gives 65?

Step-by-step explanation:

a²+b²=c²

a=33

b=56

33²+56²=c²

1089+3136=c²

4225=c²

√4225 = c

65=c