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just olya [345]
2 years ago
7

PLEASE HELP!! 50 POINTS!!

Mathematics
1 answer:
Vadim26 [7]2 years ago
6 0

Answer:

acute scalene

Step-by-step explanation:

acute because all angles below 90 degrees, scalene because no sides are the same length

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Jack has 3 quarters, 2 dimes, and one penny. how much money does jack have in all? show your work.
Aleks [24]
75+20+1=96 cents


your welcome
3 0
3 years ago
Could a set of three vectors in ℝ^4 span all ℝ^4? Explain. What about n vectors in ℝ^m when n is less than m?
Elena-2011 [213]

Answer:

Check the ecplanation

Step-by-step explanation:

A set of three vectors in R^{4} represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).

Let A be that 4x 3 matrix. The columns of A span R^{m}. if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span R^{4}. It implies that the set of 3 vectors of A does not span all of R^{4}.

In general, the set of n vectors in R^{m} represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.

And, hence the set of n vectors of A does not span all of R^{m}. for n < m

8 0
3 years ago
Line AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,
inn [45]

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points A(-6, 6) and B(12, 3). Substitute:

m=\dfrac{3-6}{12-(-6)}=\dfrac{-3}{18}=-\dfrac{3:3}{18:3}=-\dfrac{1}{6}

Therefore we have y=-\dfrac{1}{6}x+b.

Put the coordinates of the point B to the equation:

3=-\dfrac{1}{6}(12)+b

3=-2+b          <em>add 2 to both sides</em>

5=b\to b=5

Answer:

m=-\dfrac{1}{6}\\\\b=5

8 0
3 years ago
Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not
4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back x=4, we will get two fractions with zero denominator which would be undefined.

7 0
3 years ago
Subtract. Write your answer in simplest form. 8 7/10- 3 4/10
Misha Larkins [42]

Answer:

Exact form: 53/10 , Decimal form: 5.3 , Mixed number form: 5 3/10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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