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3 years ago

Why are these triangles similar?

Mathematics

2 answers:

jeka943 years ago

3 0

Answer:

SAS

Step-by-step explanation:

Nookie1986 [14]3 years ago

3 0

Answer:

Maybe its SSS..

Step-by-step explanation:

I'm not sure which choice it is but they are similar because corresponding sides are in the same ratio:

3/9 = 3/9 = 2/6

(We don't use this notation in the UK).

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If f(x)=2x^3-6x^2-16x-20f(x)=2x *3 −6x *2−16x−20 and f(5)=0, then find all of the zeros of f(x)f(x) algebraically.

mihalych1998 [28]

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

<h3>How to obtain the solutions to the equation?</h3>

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 = = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

a = 2.

-5c = -20 -> c = 4.

b = -6 + 5a = 4.

Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

x = -1 + i.

x = -1 - i.

More can be learned about the solutions of an equation at brainly.com/question/25896797

#SPJ1

8 0

1 year ago

Simplify sqrt 244x + sqrt 36x - sqrt 25x

Morgarella [4.7K]

First simplify the square roots: $2 \sqrt{61x}+6 \sqrt{x}-5 \sqrt{x}$
Then simplify the last two terms: $2 \sqrt{61x}+\sqrt{x}$
Since 61 is prime, you can't take a rational root out of it.

8 0

3 years ago

Suppose you invest $500 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after

Marianna [84]

Here is the formula that your going to need to use A=P(1+r/n)^nt
So P=500, R=0.082, N=1, T=15
Plug it into your equation and you have A=500(1+0.082/1)^(1)(15)
Simplify what's in the parenthesis A=500(1.082)^(1)(15)
Multiply your exponents A=500(1.082)^15 Then A=500(3.26)
Finally you multiply your last two numbers to get A=1,630
So after 15 years you would have $1,630
I hope this helped you :)

7 0

3 years ago

Three Friends all have ages that are consecutive integers. The sum of their ages is 48. What is the age of the oldest friend?

Reptile [31]

Consecutive integers = in this situation double-digit whole numbers So as there are 3 of them let's say 2 are 11 because that would be the highest consecutive number so 11+11= 22 and 48-22=26 so the three have the ages of 11,11,26 and the oldest would be 26 ;)

5 0

3 years ago

A farm packages eggs into cartons that hold two dozen eggs each. Last week, 5,398 eggs were collected. How many cartons will the

Sonbull [250]

Answer:

225

Step-by-step explanation:

We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:

$\frac{5398}{24} = 224.916667$

Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.

4 0

2 years ago