-4x + y = 10
y = 4x + 10
Slope = 4
x=3, y = 4*3 + 10 = 22
Pythagorean Theorem: a^2 + b^2 = c^2
-A and B are legs of the triangle
-C is the hypotenuse
#1.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
#2.
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
#4.
10^2 + 4^2 = c^2
100 + 16 = c^2
116 = c^2
c =
#5.
15^2 + 9^2 = c^2
225 + 81 = c^2
306 = c^2
c =
#6.
120^2 + b^2 = 150^2
14400 + b^2 = 22500
b^2 = 8100
b = 90
#7.
144^2 + b^2 = 194^2
20736 + b^2 = 37636
b^2 = 16900
b = 130
Hope this helps!! :)
Answer:
5) Domain: -3,-2,1,2,5 Range: 0,1,4,-5
7) Domain: -2 ≤ x ≤2 Range: 1 ≤ y ≤ 5
9) Domain: -4 ≤ x ≤ 3 Range: -5 ≤ y ≤ 5
10) Domain: all real numbers Range: y ≥ -3
12) Domain: -3 ≤ x ≤ 3 Range: -2≤ y ≤ 4
Sorry I don't know number 11
The two numbers are 21 and -4
Answer:
All potential roots are 3,3 and .
Step-by-step explanation:
Potential roots of the polynomial is all possible roots of f(x).
Using rational root theorem test. We will find all the possible or potential roots of the polynomial.
p=All the positive/negative factors of 45
q=All the positive/negative factors of 3
All possible roots
Now we check each rational root and see which are possible roots for given function.
Similarly, we will check for all value of p/q and we get
Thus, All potential roots are 3,3 and .