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3 years ago

Find the lengths of sides e, f, & g

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

e 7 f 5 g is the square root of 74 I don't have a calculator on me sry

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Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i

bulgar [2K]

I remember dis, yey

so if a polynomial has roots $r_1$ , $r_2$ , $r_3$ , it can be factored into
$f(x)=a(x-r_1)^b(x-r_2)^c(x-r_3)^d$ where a,b,c,d are constants

also, if a polynomial has rational coefients and a+bi is a root, then a-bi must also be a root

so our roots we need are
4,16, 1+9i and 1-9i

so assuming multiplity 1 (that means we have something like [/tex]f(x)=a(x-r_1)^1(x-r_2)^1(x-r_3)^1[/tex])

we get that your function is
$P(x)=(x-4)(x-16)(x-(1+9i))(x-(1-9i))$ which simplifies to
$P(x)=(x-4)(x-16)(x-1-9i)(x-1+9i)$ which expands to
$P(x)=x^4-22x^3+186x^2-1768x+5248$

3 0

3 years ago

Justin launches a rocket straight up into the air. The table below gives the height(t) of the rocket (in meters) at a few times

Papessa [141]

Using it's formula, the average rates of change are given as follows:

a) 30 meters per second.

b) -10 meters per second.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:

$r = \frac{f(b) - f(a)}{b - a}$

For item a, taking the data from the table, we have that:

f(0) = 0.

f(4.6) = 138.

Hence the rate is given as follows:

r = (138 - 0)/(4.6 - 0) = 30 meters per second.

For item b, taking the data from the table, we have that:

f(9.2) = 23.

f(11.5) = 0.

Hence the rate is given as follows:

r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

3 0

1 year ago

Help me pleseeeeeeeee

Licemer1 [7]

Answer: each number represents the sum of the two numbers

Step-by-step explanation:

I’ve never done this question before but bright to sum of the numbers together

6 0

3 years ago

Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two

Scrat [10]

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow Frequency

0 9

1 6

2 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

$P=\dfrac{6}{16}\\P=0.375$

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

brainly.com/question/24756209

3 0

2 years ago

Maria is m inches tall. Blaire is 2 inches taller than Maria. If Blaire is 52 inches tall, which equation could be used to find

Setler79 [48]

The answer would be C. m+2=52

7 0

2 years ago

Read 2 more answers