Which transformation of AB will produce a line segment A’B that is parallel to AB

What is the product of a+3 and −2a2+15a+6b2?

Elodia [21]

Answer:

C

Step-by-step explanation:

Given

(a + 3)(- 2a² + 15a + 6b²)

Each term in the second factor is multiplied by each term in the first factor, that is

a(- 2a² + 15a + 6b²) + 3(- 2a² + 15a + 6b²) ← distribute both parenthesis

= - 2a³ + 15a² + 6ab² - 6a² + 45a + 18b² ← collect like terms

= - 2a³ + 9a² + 45a + 6ab² + 18b²

7 0

2 years ago

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A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 her

earnstyle [38]

We know that
Inverse Variation is a relationship between two variables in which the product is a constant
so
let
x------> a pitch of a musical instrument
y------> the wavelength
x*y=k

find the value of k

for x=220 hertz y=3 ft
x*y=k
220*3=k
k=660

for x=165 hertz y=4 ft
x*y=k
165*4=660
k=660

the answer part a) is
the type of variation between pitch and wavelength is an inverse variation

part b) What is the pitch when the wavelength is 5 feet?
x=?
y=5 ft
k=660
x*y=k------> solve for x
x=k/y----------> x=660/5-----> x=132 hertz

the answer Part b) is
132 hertz

4 0

2 years ago

A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. find the height and radius of the cup that will use the

alekssr [168]

The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm

6 0

2 years ago

Bao Yu is completing the square to solve the polynomial equation.

irga5000 [103]

Solution:

The square of the given equation can be completed as below:

Here we will make the terms on left hand side such that it gets the form of $a^2\pm2ab+b^2=(a\pm b)^2$

$x^2-x-3=0\\\\\text{Isolate the constant}\\\\x^2-x=3\\\\x^2-2\times\frac{1}{2}\times x +\frac{1}{2}^2=3+ \frac{1}{2}^2\\\\(x-\frac{1}{2})^2=\frac{13}{4}\\$

Hence the correct option is isolating the constant , -3.

8 0

2 years ago

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A bacteria culture begins with 13 bacteria which triple in amount at the end of every hour. How many bacteria are grown during t

Dimas [21]

The end of first hour = 13*3 = 39

The end of second hour = 39*3 = 117

The end of third hour = 117*3 = 351

The end of fourth hour = 351*3 = 1,053

The end of fourth hour = 1053*3 = 3,159

The end of fifth hour = 3159*3 = 9,477

The end of sixth hour = 9477*3 = 28,431

The end of seventh hour = 28341*3 = 85,293

The end of eighth hour = 85293*3 = 255,879

The end of ninth hour = 255879*3 = 767,637

The end of tenth hour = 767637*3 = 2,302,911

The correct answer is D.2,302,911

6 0

2 years ago

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