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TEA [102]
3 years ago
5

Least to greatest -3,3,2.5,0,1

Mathematics
2 answers:
bixtya [17]3 years ago
7 0

Answer: -3, 0, 1, 2.5, 3

Georgia [21]3 years ago
5 0
-3, 0 , 1 , 2 , 3 , 5
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If a finite set S of nonzero vectors spans a vector space V , then some subset of S is a basis for V . True or False
andreyandreev [35.5K]
<h3>Answer: True</h3>

Explanation:

This theorem doesn't have a name unfortunately. So searching it out is a bit tricky if you don't know the right way to word things. Luckily it wasn't too hard of a find, and I managed to track it down in a linear algebra textbook.

Check out the screenshot below for the snippet of the theorem and the corresponding proof. The book simply refers to it as "theorem 1.9", which again, is an unfortunate choice of naming.

3 0
3 years ago
Find the missing measurements for the rectangle when the area equals 216 and the perimeter equals 66
kirill [66]

\bf \stackrel{\textit{perimeter of a rectangle}}{P=2(L+w)}~~ \begin{cases} L=length\\ w=width\\ \cline{1-1} P=66 \end{cases}\implies 66=2(L+w) \\\\\\ 33=L+w\implies \boxed{33-w=L} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of a rectangle}}{A=Lw}\qquad \implies 216=Lw\implies 216=(33-w)w \\\\\\ 216=33w-w^2\implies w^2-33w+216=0 \\\\\\ (w-24)(w-9)=0\implies w= \begin{cases} 24\\ 9 \end{cases}

now, both values are valid, so if "w" is either one, "L" is the other.

8 0
3 years ago
For what values of a are the following expressions true?<br> |a+5|=−5−a
Fed [463]

Answer:

a can be any real number less than equal to -5

Step-by-step explanation:

When a+5 is negative,

a + 5 = -(-5 - a)

a + 5 = a + 5

All values satisfy the equation

So a < -5

When a + 5 is greater than/equal to 0,

a + 5 = -a - 5

2a = -10

a = -5

a can be any real number less than equal to -5

5 0
3 years ago
Harvey flew south 300 miles. He changed planes and then flew east 500 miles. If he travels a straight path back home, how many m
Andrews [41]

Answer:

583 miles

Step-by-step explanation:

Let's draw this out (see attachment).

The straight line path creates the hypotenuse of a right triangle with legs of lengths 300 and 500. So, we use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 300 and b = 500. Then:

300² + 500² = c²

90000 + 250000 = c²

340000 = c²

c = √340000 ≈ 583.1 ≈ 583 mi

Thus, the answer is 583 miles.

<em>~ an aesthetics lover</em>

3 0
4 years ago
I’m confused someone explain please
Naya [18.7K]

Answer:

3(x - 12)(x + 2)

Step-by-step explanation:

Given

3x² - 30x - 72 ← factor out 3 from each term

= 3(x² - 10x - 24) ← factor the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2 , since

- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus

x² - 10x - 24 = (x - 12)(x + 2) and

3x² - 30x - 72 = 3(x - 12)(x + 2)

3 0
4 years ago
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