The coordinates of C are (3, 2)
The coordinates of D are (4, 1)
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100
If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100
Now if we add both equations we get only equation with 1 unknown (y) :
3y = 24 ⇒ y = 8
Substituting the calculated value to the first equation we get:
x + 8 = 38 ⇒ x = 30
The solution:
{ x = 30
{ y = 8
means that:
The test had 30 multiple choice questions, and 8 word problems.
Answer:
-13/1
Step-by-step explanation:
y2 - y1 / x2 - x1 to find slope
Answer: Option D :3.85 units.
Step-by-step explanation: Diameter is the longest chord of any circle . It is a straight line passing through the center of the circle and touches the circle at two points. Radius is a line drawn from the center of circle to the circumference. Radius is half of diameter.In the given figure the blue line is diameter .The diameter is the blue line which equals 7.7 units.Radius is half of diameter .Radius = 7.7÷2=3.85 units.
Option D is the right answer.
Use the pythagorean theorem. It would be set up as
a^2 + 3.7^2 = 4.0^2
