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Luda [366]
3 years ago
15

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer:

2x\sqrt{15}

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = \sqrt{4}·\sqrt{15} · \sqrt{x^2}

This can be simplified to be 2x\sqrt{15}

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Kylie and Ethan have each saved some money. I’m their savings, each coin is worth leas then 50 cents and each bill is less then
timofeeve [1]

Answer:

Kylie could have a $5 bill and seven quarters while Ethan could have two $1 bills and forty pennies.

Step-by-step explanation:

Since Kylie has seven quarters, that is seven multiplied by the value of the quarter, a quarter is 25 cents. So 7 x 25 = 125 OR $1 and 25 cents. Leaving Kylie with a total of $7 and 25 cents with the addition of the $5 bill.

Ethan has two $1 bills and forty pennies, forty multiplied by the value of the penny, a penny is 1 cent. So 40 x 1 = 40 OR 40 cents. Leaving Ethan with $2 and 40 cents with the addition of the two $1 bills from earlier.

Ethan has more bills and coins than Kylie and yet still has less money than Kylie.

7 0
3 years ago
The graph of the piecewise function f(x) is shown.
NeTakaya

Answer:

{f(x) | -∞ < f(x) ≤ 4 }

Step-by-step explanation:

The range is made up of the y values.  Remember f(x) = y

In this graph the least value of y is -∞ and the greatest value of y is 4

So, the range is {f(x) | -∞ < f(x) ≤ 4 } which is the 2nd choice

4 0
3 years ago
Which inequality represents this sentence?
babymother [125]

Answer:

  • n ≥ 65

Step-by-step explanation:

A number is at least 65. It means the number n can be 65 or greater.

<u>Its translation is:</u>

  • n ≥ 65

<em>The answer options don't have this included.</em>

3 0
3 years ago
Read 2 more answers
Factoring polynomials
-Dominant- [34]
1. x(2x^2-x+4)
2.-3(y-1)(y+2)
3.-(11w^2+18w-1)

7 0
3 years ago
4(2x – 5) = 4 Part A: How many solutions does this equation have? (4 points) Part B: What are the solutions to this equation? Sh
Gnom [1K]
A. one solution
B 4(2x-5) = 4
2x-5 = 1
2x = 6
x=3
7 0
3 years ago
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