1.
Use the distance formula:
distance =
(4-1)²+(a-1)²=5²
Solve for a (a quadratic equation)
2.
Use Pythagorean formula:
8²+b²=14²
Solve for b.
3(a)
7²+9²=49+81 = 130 ≠ 12²
Therefore the three sides do not form a right triangle.
Try the others similarly.
Post your answer for checks if you wish.
1) Find the possible values of a, if the distance between the points is 5, and the coordinates are (1, 1) and (4, a). I don't know how to solve this one.
2) in a right triangle the length of the hypotenuse is 14 and the length b of one of the legs is 8. find the length a of the other leg to the nearest hundredth.
3) Which of the following side measures would form a right triangle?
A. 7, 9 ,12
B. 10, 24, 26
C. 18, 20, 27
D. 8, 11, 19
I said A
4) Determine the third side measure that will form a right triangle if two sides are 7 and 24.
I said 25
5) Find the missing side of the right triangle with sides: h = 5, a = 3
I said 5.8
6) Can two sets of data have the same mean, but not the same variance.
I said yes
7) A group of 15 of your friends wants to go to a concert. Unfortunately, you only have 10 tickets available to give to your friends. How many different groups of friends could you take to the concert?
I'm not to good with probability, so I'm not too sure about this one
2 answers
Consider the sequence of steps to solve the equation:
x - 3
3
= x + 3
Step 1 ⇒ x - 3 = 3(x + 3)
Step 2 ⇒ x - 3 = 3x + 9
Step 3 ⇒ x = 3x + 12
Step 4 ⇒ -2x = 12
Step 5 ⇒ x = -6
Identify the property of equality which yields Step 5.
x - 3
3
= x + 3
Step 1 ⇒ x - 3 = 3(x + 3)
Step 2 ⇒ x - 3 = 3x + 9
Step 3 ⇒ x = 3x + 12
Step 4 ⇒ -2x = 12
Step 5 ⇒ x = -6
Identify the property of equality which yields Step 5.
2 answers