Answer:
x = 16
y = -24
Step-by-step explanation:
Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.
So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.
Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.
Therefore, the matrix resultant from this addition is: [16 -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.
Answer:
The equation that goes through this set of points is y = -x + 5
Step-by-step explanation:
In order to find this, we need to start by finding the slope. For that we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -2)/(-1 - 3)
m = 4/-4
m = -1
Now that we have this, we can use the slope and a point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 6 = -1(x - -1)
y - 6 = -1(x + 1)
y - 6 = -x - 1
y = -x + 5
Answer:
A right triangle
Step-by-step explanation:
All interior angles in a triangle are equal to 180°.
x+x+2x = 180°
4x = 180°
x = 45°
So two of the angles are 45°, and the remaining angle is 45°×2 = 90° (a right angle).
Answer:
The correct answer is <em>b = 36</em>
Step-by-step explanation:
In order to find out what b is, you must find out what 9/10 is.
9/10 is 0.9. This will later be used to check our answer.
Now, solve by using cross-multiplication
b * 10 = 9 * 40.
Then use the commutative property to reorder the terms
10b = 9 * 40
Now Multiply 9 * 40 = 360
10b = 360
Now divide both sides of the equation by 10
<em>b = 36</em>
