Answer:
9 in, or B
Step-by-step explanation:
We can easily apply the Pythagorean Theorem to this. You could either realize that this is a 3-4-5 Pythagorean triple or do the math by hand.
We start off by setting up the equation 12² + x² = 15². Simplifying, we get 144 + x² = 225, and then x² = 81 after subtracting 144 from both sides. Thus, the square root of x is 9, and so the answer is 9 inches.
<span>Sarah's conclusion is invalid, because she is testing two variables at once without a control value. In order for the experiment to be valid, Sarah should either apply the same soil to both areas (assuming they are, in fact, the same). Or, she should water both equally. At this time, we don't know if B grew "better" due to the brand or the amount of water received.</span>
2.8/2 = 1.4 per liter
3.9/12 = 0.325 per liter
Bottle of juices have a higher liter is 1.4
Answer:
A: Angle J
Step-by-step explanation
If the two triangles are congruent then their corresponding angles are also congruent. This means that angle P is congruent to angle J, angle Q is congruent to angle K and angle R is congruent to angle L. Hope this helps :D
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.
