9514 1404 393
Answer:
see attached
(x, y) = (8, 4)
Step-by-step explanation:
The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.
x + y = 12 . . . . . total number of shots
x + 2y = 16 . . . . total number of points
__
These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.
The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.
- the number of free throws Angel made was 8
- the number of 2-point shots Angel made was 4
The height scale is 75
Step-by-step explanation:
The height scale is the ratio between the height of the final image and the height of the original image.
In this problem, we have:
(height of the original image)
Converted into meters,
(height of the enlarged image)
Therefore, the height scale is given by the following ratio:
So, the height scale is 75.
Learn more about scales:
brainly.com/question/570757
#LearnwithBrainly
9514 1404 393
Answer:
B, C
Step-by-step explanation:
Linearly dependent sets can be found using row-reduction techniques. If a row ends up zero, then the set is linearly dependent. Equivalently, the determinant of a 3×3 matrix can be computed. If it is zero, the set is dependent. The cross-product of two 3-D vectors can be computed. If it is zero, the vectors are dependent.
Any set of vectors that has more elements than each vector does must necessarily be dependent.
It is helpful to be able to use a calculator capable of performing these calculations (as opposed to doing it by hand). The first attachment shows the result of computing the reduced row-echelon form of the first set of 3 vectors. The set is found to be independent.
__
The second set of vectors is clearly dependent, as the second vector is 5 times the first.
__
The third set contains more vectors than there are elements to a vector. Hence at least one of them can be created using some combination of the others. This set is dependent.
__
The cross-product of the fourth set is non-zero, so it is independent. The second attachment shows the result of a row-reduction tool on these vectors.
HOW TO WORK OUT
cross multiply so $24 is 80% because it was 20% discounted so..
24 = 80%
? = 100%
24 x 100 = 2400
2400 divided by 80 = 30
$30 was the original price
HOW TO CHECK
20% of $30
again you cross multiply so..
$30 = 100%
? = 20%
30 x 20 = 600
600 divided by 100 = 6
$30 - $6 = $24 which was the discounted pricw
The slope between these two lines is -3.
In order to find this, we plug the two points into the slope formula below.
m (slope) = (y2 - y1)/(x2 - x1)
m = (4 - -2)/(2 - 4)
m = 6/-2
m = -3
