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GarryVolchara [31]
4 years ago
6

Using Pythagorean inequalities, determine which of the following sets of values can represent the lengths of the sides of a righ

t triangle I know it's now B
A. 4,5,6
B. 5,13,19
C 12, 14, 25
D 21,72,75
Mathematics
1 answer:
Cerrena [4.2K]4 years ago
7 0
Use Pythagorean theorem.
a^2 + b^2 = c^2
D.
21^2 + 72^2 = 75^2
441 + 5184 = 5625
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If x + 3 = 3x - 1 what is the value of x-1 ?
Allushta [10]

Answer: x=2.5, and x-1=1.5

Step-by-step explanation:

x + 3 = 3x - 1

(-x)= 3 = 2x - 1

(÷2) = 1.5 = x - 1

(+1)= 2.5 = x

8 0
3 years ago
ind the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.
vivado [14]

Answer:

1+√2, 1-√2

Step-by-step explanation:

Since there are 2 factors with an y in the expression, i will assume that there was a mistake in the question and in fact the first term was y³. With that change, we will have that

g(y) = y³-3y²-3y+9

In order to find the critical numbers of g we need to derivate it and equalize the derivate to 0. We can easily derivate g since it is a polynomial:

g'(y) = 3y² - 6y-3

Since g'(y) is a quadratic function, we can obtain the zeros using the quadratic formula, where a = 3, b = -6 and c = -3:

r_1 , r_2 = \frac{6 \, ^+_- \, \sqrt{(-6)^2 - 4 * 3 * (-3)} }{2 * 3} = \frac{6 \, ^+_- \, \sqrt{72}}{6} = 1 \, ^+_- \, \sqrt{2}

Thus

r_1 = 1 + \sqrt 2\\r_2 = 1- \sqrt 2

Therefore, the critical numbers of g are 1+√2 and 1-√2.

I beleive that the problem just ask for that. If you want the critical values, then we need to evaluate those numbers in g. i will do it just in case

g(1 + √2) = (1+√2)³ - 3(1+√2) - 3(1+√2) + 9 = -1.65685

g(1- √2) = (1-√2)³ - 3(1-√2)² -3(1-√2)+9 = 9.6566

5 0
3 years ago
Is 4+y=2x linear or non linear
ratelena [41]
Subtract 4 from both sides of the equation. It looks familiar now right? (y=mx+b is a linear equation)
6 0
3 years ago
Read 2 more answers
When someone donated 14 gallons of paint to Rosendale Elementary School, the fifth grade decided to paint a mural. They split th
Alex777 [14]

Answer:

Step-by-step explanation:

So, first we can do 14/4 which is 3.5

Each class uses 3.5 gallons

For (B), we can do 3.5 * 3 which equals 10.5 gallons

For (C), we can do 30÷4 which is 7.5 square feet

For (D) they each paint 1/4 of the wall

3 0
4 years ago
1/2 plus 1/5 plus 2/6 plus 1/8
mamaluj [8]

Need to find the common denominator for the fractions which is 120.

Multiply by 60 for 1/6 . Multiply by 24 for 1/5. Multiply by 20 for 2/6. Multiply by 15 for 1/8.

(1)(60)/(2)(60)+(1)(24)/)5)(24)+(2)(20)/(6)(20)+(1)(15)+(8)(15)

= 60/120+18/120+40/120+15/120

= 78/120+55/120

= 139/120 or in mixed number : 1 19/120

Answer: 139/120 , 1 19/120

4 0
3 years ago
Read 2 more answers
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