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2 years ago

Find the length of GH

Mathematics

1 answer:

RoseWind [281]2 years ago

3 0

Answer:

d = 7.28011, or

7.3

Step-by-step explanation:

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How do you find all the zeros of f(x) = x^2 - 12x 20 with its multiplicities?

Vlad [161]

Just factorize the polynomial and you will get (x-2)(x-10) its roots are +2 and +10 and the multiplicities are +4 root of multiplicity 1, and +10 root of multiplicity 1.

6 0

3 years ago

Factor the polynomial.

mixer [17]

Answer:

Final answer is choice B. $(5x-2y)^2$

Step-by-step explanation:

We need to factor the given expression $25x^2-20xy+4y^2$

$25x^2-20xy+4y^2$

$=25x^2-10xy-10xy+4y^2$

$=5x(5x-2y)-2y(5x-2y)$

$=(5x-2y)(5x-2y)$

$=(5x-2y)^2$

Hence final answer is choice B. $(5x-2y)^2$

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3 years ago

2. What is the vertex of the following parabola? *

sweet [91]

Answer:

Step-by-step explanation:

The answer to life the universe and everything is 42

7 0

2 years ago

A. George ran 5 miles in 35.5 minutes what was his average time per mile?

jarptica [38.1K]

A. 7.1 b.idk sorry c.74,160

8 0

3 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

3 years ago