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lianna [129]
1 year ago
5

Marcello is constructing the perpendicular bisector of AB¯¯¯¯¯. He has already constructed arcs as shown.

Mathematics
1 answer:
Ratling [72]1 year ago
3 0

Answer: "Use the straightedge to draw a line through points X and Y." is the right answer.


Step-by-step explanation:

To perpendicular bisector of line segment AB. There are following steps:

1) Draw arcs from points A and B on the both sides of AB.

2) Name the intersection points as X and Y.

3) Use the straightedge to draw a line through points X and Y.

4) Name the point as O

hence we have construct perpendicular bisector XY of AB which bisects at O.

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For each of the following integrals, indicate whether integration by substitution or integration by parts is more appropriate, o
Andrei [34K]

Answer:

a. ∫ xSinx dx

iii. integration by parts

u =x and dv= sinx

b. ∫ x⁴/(1+x³). dx  

ii. neither

Long division is an option here before integration is done

c. ∫ x⁴. e^x³. dx

i. substitution

where u = x⁵

d. ∫x⁴ cos(x⁵). dx

i. substitution

where u = x⁵

e. ∫1/√9x+1 .dx

i. substitution

where u = 9x+1

6 0
1 year ago
There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp
myrzilka [38]
Part A: f(x)=(5)x+20(alligators) and f(x)=(10)x+25(crocodiles)

Part B: f(x)=(5)(4)+20(alligators) and f(x)=(10)(4)+25(crocodiles)
Alligators: 40 and Crocodiles: 65

Part C: None because the rate of the alligators won't catch up with the rate of crocodiles.
7 0
1 year ago
In a rectangle, a diagonal forms a 36° angle with a side. Find the measure of the angle between the diagonals, which lies opposi
bezimeni [28]

Answer:

The answer is 72 degrees

Step-by-step explanation:

The picture that Helpmetnx showed does work. But they made a mistake and assumed that the diagonal is a angle bisector, and it's not.

1. rectangle ABCD, BD & AC are the diagonals. ∠ABD =36 degrees

2. ∠ABD= ∠BDC = 36 - alternate interior angles

3. ∠DBC = 90 - 36 = 54. ∠DBC =∠ADB = ∠BCA = 54

4. Now we know that the triangle formed between the two diagonals is a isosceles triangle because of base angle theorem.

5. 180 - 54*2 = 72 degrees

I hope this helps!

8 0
1 year ago
Consider the probability distribution of x, where x is the number of job applications completed by a college senior through the
Oksi-84 [34.3K]
The expected number out of 1000 selected college seniors that completed 1 job application through the career centers is given by 0.011 x 1000 = 11 which is close to 14.

The expected number out of 1000 selected college seniors that completed 2 job application through the career centers is given by 0.115 x 1000 = 115 which is far away from 15.

The expected number out of 1000 selected college seniors that completed 3 job application through the career centers is given by 0.123 x 1000 = 123 which is close to 130.

Therefore, the result that would be suprising is "15 seniors completed 2 job applications through the career center."
3 0
2 years ago
According to the rational root theorem, which number is a potential root of f(x) = 9x8 9x6 – 12x 7?
yaroslaw [1]

The options of the problem are

A. 0\ B. \frac{1}{7}\ C. 2\ D. \frac{7}{3}

we have

9x^{8} +9x^{6} - 12x +7

we know that

<u>The Rational Root Theorem </u>states that when a root 'x' is written as a fraction in lowest terms

 x=\frac{p}{q} 

p is an integer factor of <u>the constant term</u>, and q is an integer factor of <u>the coefficient of the first monomial</u>.

So

in this problem

the constant term is equal to 7

and the first monomial is equal to 9x^{8} -----> coefficient is 9

therefore

<u>the answer is the option </u>

D. \frac{7}{3}

7 0
1 year ago
Read 2 more answers
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