Isosceles Right
Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.
Slope-intercept form: y=mx+b, with m being the slope and b being the y-intercept. First, plug in the given slope into the slope form:
y=2x+b
Now, given the coordinates (1,4), you can plug the coordinates into the equation for x and y respectively, to solve for b (the y-intercept).
4=2(1)+b
4=2+b
Subtract 2 from both sides.
2=b
The y-intercept is 2.
Now, plug that into the equation:
y=2x+2
The answer is y=2x+2.
I hope this helps :)
Answer: the system of equations are
x + y = 35
3x + 2y = 100
Step-by-step explanation:
Let x= the number of short answer questions.
Let y= the number of multiple choice questions.
Noah wants 35 questions on the exam. This means that
x + y = 35
He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points
Since the exam is worth 100 points, then,
3x + 2y = 100 - - - - - - - -1
Substituting x = 35 - y into equation 1, it becomes
3(35 - y) + 2y = 100
105 - 3y + 2y = 100
y = 105 - 100 = 5
x = 35 - y = 35 - 5
x = 30
So similar triangles have the same ratio 10/8=1.25 therefore 15/12=1.25 so DF=12M
