the perimeter of a triangle is 8x+3y. The length of two sides of the triangle are 4x+y and 2x-3y. Find the measure of the third side of the triangle.

Answers

Answer 1

Answer: Perimeter = Sum of three sides.

Let the third side be = t

Perimeter = 8x + 3y

8x + 3y = (4x + y) + (2x - 3y) + t

8x + 3y = 4x + y + 2x - 3y + t

8x + 3y = 4x +2x + y - 3y + t

8x + 3y = 6x - 2y + t

8x - 6x + 3y + 2y = t

2x + 5y = t.

Therefore third side = 2x + 5y

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Which of the following systems of inequalities has point D as a solution?
Which of the following triangles is a unique triangle that could not berearranged into a different size or shape?
PLEASE HELP MEI really really really need help
Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersectat point V. Find the values of x and y. If necessary, round to the nearest tenth.ANx = 11.6y = 11.6= 11.6y= 23.2x = 18.3y = 36.6
What is the factored form of the following expression? x2 – x – 42

3 is what percent of 5

Answers

Answer: 60%

Step-by-step explanation:

2.5% i’m pretty sure

Toshi and owen need to add 4.9 x 10^9 and 4.1 x 10^7. toshi says they must use the expression (490 x 10^7 ) (4.1 x 10^7), but owen says they must use the expression (4.9 x 10^9) (0.041 x 10^9). are neither, one, or both students correct? explain

Answers

Final answer:

When adding numbers in scientific notation, the exponents must be the same. Owen is correct and Toshi is incorrect.

Explanation:

When adding numbers in scientific notation, the exponents must be the same.

Toshi suggests using the expression (490 × 10⁷) + (4.1 × 10⁷), but this is incorrect because the exponents do not match.

Owen suggests using the expression (4.9 × 10⁹) + (0.041 × 10⁹), and this is correct because the exponents are the same.

So, Owen is correct and Toshi is incorrect.

Learn more about scientific notation here:

brainly.com/question/16936662

#SPJ3

Both are correct. You add any two numbers in scientific notation if the exponents on the 10 are equal.

In ΔABC, a = 6 inches, m∠A=121° and m∠B=36°. Find the length of b, to the nearest 10th of an inch.

Answers

Answer:4.1

Step-by-step explanation:

Answer: 4.1

Step-by-step explanation:

3. At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?

Answers

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob = 3x

Cost of 5 items bought by Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

$3x= 5(x-1.5)\n\n\Rightarrow\ 3x=5x-1.5*5\n\n\Rightarrow\ 3x=5x-7.5\n\n\Rightarrow\ 5x-2x=7.5\n\n\Rightarrow\ 3x=7.5\n\n\Rightarrow\ x=(7.5)/(3)\n\n\Rightarrow\ x=2.5$

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob = 3x

Cost of 5 items bought by Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?

Answers

The exponential model would take the form:
$y=Ae^(kt)$
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
$8 = 2e^(k*3)$
$k = (ln(4))/(3)$

Now, plugging in 6 days:
$y = 2e^{ (ln(4))/(3)*6}$
$y = 32$

The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17

Thus, the exponential is almost double the result of the linear! Hope that helps.

Answer:

Step-by-step explanation:

for the exponential it is actually 64

Which equation represents a hyperbola with a center at (0, 0), a vertex at (0, 60), and a focus at (0, −65)?

Answers

Answer:

Step-by-step explanation:

on edge

Answer:

D!!

Step-by-step explanation:

Got it right

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