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raketka [301]
3 years ago
11

Geometry pretty pleases

Mathematics
2 answers:
Grace [21]3 years ago
5 0

Area= width times height

Perimeter= all sides added together

Murljashka [212]3 years ago
5 0

Volume = length times width time height

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Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

5 0
3 years ago
What is<br> -1 5/6 - (-3 1/4) ?
lions [1.4K]

Answer:

1\frac{5}{12}

Step-by-step explanation:

Eliminating a negative and changing our operation

1\frac{5}{6} +3\frac{1}{4}

Rewriting our equation with parts separated

-1-\frac{5}{6} +3+\frac{1}{4}

Solving the whole number parts

-1+3=2

Solving the fraction parts

-\frac{5}{6} +\frac{1}{4} =[?]

Find the LCD of 5/6 and 1/4 and rewrite to solve with the equivalent fractions.

LCD = 12

-\frac{10}{12} +\frac{3}{12}=-\frac{7}{12}

Combining the whole and fraction parts

2-\frac{7}{12} =1\frac{5}{12}

[RevyBreeze]

8 0
2 years ago
Last year at a certain high school, there were 125 boys on the honor roll and 80 girls on the honor roll. This year, the number
Elodia [21]

Answer:

6.8% decrease

Step-by-step explanation:

a drop of 8% means that only 92% of 125 boys remained on honor roll from last year; .92 x 125 = 115

a drop of 5% means that only 95% of 80 girls remained on honor roll from last year; .95 x 80 = 76

total number of students on honor roll last year = 125 + 80 = 205

total number of students on honor roll this year = 115 + 76 = 191

percent of change = (191 - 205) ÷ 205 = -14/205 = -.068

-.068, which represents a 6.8% decrease

3 0
2 years ago
Write an equation and solve this problem: Seventy is what percent of 50?
MrRissso [65]
70 = 50 * x/100
x = 70/50*100 = 140

Seventh is 140% of 50.
3 0
3 years ago
A number has the same digit in its hundreds place and it's hundredths place how many times greater is the value of the digit in
mash [69]

Answer:

I just need 5 points for brainly please give me 5 stars

Step-by-step explanation:

8 0
2 years ago
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