Answer:
m+5=7
Step-by-step explanation:
X^2-11x+28=0
(x-7)(x-4)=0
x-7=0
x=7
x-4=0
x=4
Answer:
If it cuts x-axis 5 times.
Step-by-step explanation:
When we look at the graph of a function we can see its real roots by looking at its graph
The intersecting points that is the number of times a line cutting x-axis will be the real root of the function
So, by looking at the 5th degree function the number of time that function cuts x-axis will be the number of real roots.
So, if we need to say all the zeroes or roots of the function are real means it will cut the x-axis 5 times.
Because a function will have the root equal to its degree.
Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13