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Paladinen [302]
4 years ago
11

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Mathematics
1 answer:
tamaranim1 [39]4 years ago
7 0
Equilateral triangle
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Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.
Marysya12 [62]

Answer:

This shows 3 pivot position matrixes.

Step-by-step explanation:

The given matrix is:  

\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-3&3&0\end{array}\right]

The option D is correct for this matrix.

The matrix is invertible and the given matrix has 3 pivot positions.

The matrix is invertible if its determinant is nonzero.

Multiply the 3rd row by 1/3.we get:

\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-1&1&0\end{array}\right]

Now, add the first row with third row:

\left[\begin{array}{ccc}0&-1&-5\\0&4&3\\-1&1&0\end{array}\right]

Replace third row by first row:

\left[\begin{array}{ccc}-1&1&0\\0&4&3\\0&-1&-5\end{array}\right]

This shows 3 pivot position matrixes.

Hence, a matrix is invertible and has 3 pivot positions.

7 0
3 years ago
Can someone help me asap??
Zepler [3.9K]
You need help on what ?
8 0
4 years ago
Read 2 more answers
In a certain Algebra 2 class of 29 students, 7 of them play basketball and 14 of them
Mariulka [41]

Answer:

<em>Two possible answers below</em>

Step-by-step explanation:

<u>Probability and Sets</u>

We are given two sets: Students that play basketball and students that play baseball.

It's given there are 29 students in certain Algebra 2 class, 10 of which don't play any of the mentioned sports.

This leaves only 29-10=19 players of either baseball, basketball, or both sports. If one student is randomly selected, then the propability that they play basketball or baseball is:

\displaystyle P=\frac{19}{29}

P = 0.66

Note: if we are to calculate the probability to choose one student who plays only one of the sports, then we proceed as follows:

We also know 7 students play basketball and 14 play baseball. Since 14+7 =21, the difference of 21-19=2 students corresponds to those who play both sports.

Thus, there 19-2=17 students who play only one of the sports. The probability is:

\displaystyle P=\frac{17}{29}

P = 0.59

3 0
3 years ago
Nelson goes to three main places most days school, work and his home. They are graphed below. What is the distance between his h
Zarrin [17]

ANSWER

9.5

EXPLANATION

To find the distance between home and work, we have to use the formula:

D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

We have that home is at point (3, -3) and work is at point (0, 6).

Therefore:

(x1, y1) = (3, -3)

(x2, y2) = (0, 6)

Therefore, we have that:

\begin{gathered} D\text{ = }\sqrt[]{(0-3)^2+(6-(-3))^2} \\ D\text{ = }\sqrt[]{(-3)^2+(6+3)^2}\text{ = }\sqrt[]{(-3)^2+(9)^2} \\ D\text{ = }\sqrt[]{9\text{ + 81}}\text{ = }\sqrt[]{90} \\ D\text{ = 9.5} \end{gathered}

The answer is 9.5

4 0
1 year ago
If a negative 10 became a positive 10 how many 100 centimeters are there in 4,057 squared feet?​
astra-53 [7]
200 c squared feet in all
6 0
3 years ago
Read 2 more answers
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