Answer: In the equations that you have given, we have a dependent system.
2x + y = 8 (I assumed that you meant to type y instead of 7)
6x + 3y = 24
To use Cramer's Rule, we have to take the determinant of 3 different matrices written in the problem. Taking the determinant of the coefficient matrix produces a zero.
2 1 This is the coefficient matrix.
6 3
6 - 6 = 0
Since this is 0, the rest of the work will be undefined meaning the systems are dependent (or they are the versions of the same equation).
<h3>
Answer: 36 square units</h3>
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Explanation:
Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.
The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.
The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.
The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.
Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.
For the selection to be 10, there has to be at least 3 girls. So there's a 1/4 chance of 3 girls picked, 1/4 4 girls, 1/4 5 girls and 1/4 6 girls. Because the sum of people has to be 10, if 4 girls are picked, to make 10 people there is a 1/1 chance of 6 boys. 1/4 * 1/1 = 1/4. So 1/4 chance of 4 girls and 6 boys
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
