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2 years ago

10

Please help! The expressions 3x - 9 and 23 - 5x represent the lengths (in feet) of two sides of an equilateral triangle. Find th

e length of a side. Show your work.

1 answer:

valentina_108 [34]2 years ago

5 0

An equilateral triangle has 3 congruent sides so the 2 expressions above are equal
3x - 9= 23 - 5x
And then you solve for x
-22=-2x
X=11

You might be interested in

How many ways can we pick three distinct integers from {1, 2, ..., 15} such that their sum is divisible by 3?

gogolik [260]

Answer:

Clearly from 1 to 15 we can only have the sum 6,9,12 and 15 to be divisible by 3.

Now meaning we have 4! ( 4 factorial) which implies 4x3x2x1= 24 .

We have 24 ways to pick distinct integers that are divisible by 3.

Step-by-step explanation:

The first thing you need to do is to look for numbers that are divisible by 3. Then you take its factorial

5 0

3 years ago

hannah is making maffins. The recipe calls for 5/8 cup of milk to make 20 muffins. What is the unit rate for cups of milk per mu

STALIN [3.7K]

Answer:

32 muffins

Step-by-step explanation:

one cup of milk will make 32 muffins

you can set up a proportion of milk/muffins = milk/muffins

let 'x' = number of muffins made from one cup of milk

5/8 ÷ 20 = 1 ÷ x

cross-multiply to get 5x = 20(8)

5x = 160

x = 32

6 0

1 year ago

If -1 is one of the zeroes of py 3x^3-5x^2-11x-3 find other zeroes

katrin2010 [14]

Given:

The function is:

$y=3x^3-5x^2-11x-3$

It is given that -1 is a zero of the given function.

To find:

The other zeroes of the given function.

Solution:

If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.

It is given that -1 is a zero of the given function. So, $(x+1)$ is a factor of the given function.

We have,

$y=3x^3-5x^2-11x-3$

Split the middle terms in such a way so that we get (x+1) as a factor.

$y=3x^3+3x^2-8x^2-8x-3x-3$

$y=3x^2(x+1)-8x(x+1)-3(x+1)$

$y=(x+1)(3x^2-8x-3)$

Again splitting the middle term, we get

$y=(x+1)(3x^2-9x+x-3)$

$y=(x+1)(3x(x-3)+1(x-3))$

$y=(x+1)(3x+1)(x-3)$

For zeroes, $y=0$ .

$(x+1)(3x+1)(x-3)=0$

$(x+1)=0$ and $3x+1=0$ and $x-3=0$

$x=-1$ and $x=-\dfrac{1}{3}$ and $x=3$

Therefore, the other two zeroes of the given function are $-\dfrac{1}{3}$ and $3$ .

3 0

2 years ago

The value of y varies directly with x. If x = 218, then y = 436. What is

adell [148]

Answer:

<h2>x = 7</h2>

Step-by-step explanation:

To find the value of the value of x when

y = 14 we must first find the relationship between them

The statement

The value of y varies directly with x is written as

$y \: \: \: \alpha \: \: \: kx$

where k is the constant of proportionality

when x = 218

y = 436

So we have

436 = 218k

Divide both sides by 218

k = 2

So the formula for the variation is

<h2>y = 2x</h2>

when y = 14

We have

14 = 2x

Divide both sides by 2

<h3>x = 7</h3>

Hope this helps you.

5 0

2 years ago

Select the correct answer.

gtnhenbr [62]

Answer:

5 years

Step-by-step explanation:

To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x.

y = x^6 − 9x^4 + 70x^2

630 = x^6 − 9x^4 + 70x^2

Solving for x, we will have

x = 4.8866 years or approximately 5 years

Hope this answer helps you :)

Have a great day

Mark brainliest

7 0

2 years ago