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kipiarov [429]
2 years ago
6

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin

t C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C?
yards
The direct distance from A to C is more than
yards.
The inequality w <
represents the distance, w, that Pete might save by taking the direct path.​
Mathematics
1 answer:
Nata [24]2 years ago
4 0
The answer is negative positive 20
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Help please!!!!!!!!!
In-s [12.5K]

ANSWER

24


EXPLANATION

For a matrix A of order n×n, the cofactor C_{ij} of element a_{ij} is defined to be


   C_{ij} = (-1)^{i+j} M_{ij}


M_{ij} is the minor of element a_{ij} equal to the determinant of the matrix we get by taking matrix A and deleting row i and column j.


Here, we have


   C_{11} = (-1)^{1+1} M_{11} = M_{11}


M₁₁ is the determinant of the matrix that is matrix A with row 1 and column 1 removed. The bold entries are the row and the column we delete.


   \begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right)  \end{aligned}


Since the determinant of a 2×2 matrix is


   \det\left(  \begin{bmatrix} a & b \\ c& d  \end{bmatrix} \right) = ad-bc


it follows that


   \begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \\ &= (0)(-8) - (-3)(8) \\ &= -(-24) \\ &= 24 \end{aligned}


so C_{11} = M_{11} = 24

4 0
3 years ago
Greater than or less than the base?
yarga [219]

Answer:

I think grater then?

Step-by-step explanation:

4 0
2 years ago
Write the polynomial in standard form. identify the degree and leading coefficient of the polynomial. then classify the polynomi
mezya [45]
You'll need to post the polynomial itself. The degree will be the highest exponent, the leading coefficient will be the number in front of the variable of the term with the highest exponent, then count the number of terms separated by + and - signs.
3 0
3 years ago
A rectangular room has a perimeter of 70m and is 20m long write an equation to represent the area
ladessa [460]
70-40= 30
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5 0
3 years ago
Find the diameter of the base of a right cylinder if the surface area is 128(pi) and the height is 12cm.
Gelneren [198K]
d=2r\\&#10;A=128 \pi \\&#10;A=2 \pi  r^{2} +2 \pi rh \\\\&#10;2 \pi  r^{2} +2 \pi rh = 128 \pi \\&#10;2 r^{2} +2rh = 128\\&#10;2 r^{2}+24r-128=0\\&#10;r^{2}+12r-64=0\\&#10;delta=400\\&#10;r_{1/2} = -16/4 \\&#10;r=4cm\\&#10;d=8cm\\&#10;

Radius / diameter as a length cannot be negative, that's why '-16' is wrong.
8 0
3 years ago
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