Answer:
Use the Pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:
Simplify the equation to get:
Add 16 and 9 to get 25 and take the square root of both sides:
The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.
Answer:
A
Step-by-step explanation:
To write the equation of the line. first calculate the slope using the slope formula.
Since the slope of this line is 0, it is horizontal and has the form y=b where b is the y-coordinate. So y = 2 is the equation. In general form, it would be y-2 = 0
Answer:
Step-by-step explanation:
.72x+3=0.3(2.4+15)
.72x+3=0.72+4.5=0.72+4.50
.72 x=5.22
Answer:
1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get:
5.
6.
7.
Step-by-step explanation:
Question 1:
We need to rewrite the expression using exponents
5.a.b.b.5.c.a.b.5.b
We will first combine the like terms
5.5.5.a.a.b.b.b.b.c
Now, if we have 5.5.5 we can write it in exponent as:
a.a as
b.b.b.b as:
So, our result will be:
Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get:
Question:
Rewrite using positive exponent:
The rule used here will be: which states that if we need to make exponent positive, we will take it to the denominator.
Applying thee above rule for getting the answers:
5)
6)
7)
We know that so, we get
5a - 10*3 = 45
5a - 30 = 45
5a = 45 + 30
5a = 75
a = 15