9514 1404 393
Answer:
yes
Step-by-step explanation:
You can check to see if the numbers satisfy the Pythagorean theorem.
9² +12² ?= 15²
81 + 144 = 225 . . . . yes these segments form a right triangle
_____
You know that segments of lengths 3, 4, 5 form a right triangle. This is the first "Pythagorean triple" that most folks run across. The segments given here are all 3 times those numbers, so will also form a right triangle.
Answer:
-4 < x < 7
Step-by-step explanation:
-12 < 2x - 4 <10 (add 4 across the inequality)
-12 + 4 < 2x <10 + 4
-8 < 2x < 14 (divide ineqality by 2)
-8/2 < x < 14/2
-4 < x < 7
If I read your post properly, the two fractions are -14/10 and -12/b.
The LCD is found by finding prime factors of each term, then collecting the ones that appear the most.
10 = 2 x 5
b = b
2 x 5 x b = 10b
Answer: D
Step-by-step explanation:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
Answer:
The numbers are 18 and 91
Step-by-step explanation:
You can translate the information to two equations:
<em>a value 5 times a smaller number is 1 less than a larger number</em>
5a = b - 1
<em>their difference is 73</em>
b - a = 73
Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:
b = 5a + 1
Now I can write 5a+1 in the second equation at the place where b was:
5a + 1 - a = 73
It is now an equation with only one variable, solve by simplifying
4a = 72
a = 18
Now b can be found using b = 5a + 1
b = 91