9.
2(13-p)
2(13-2)=22
2(13-3)= 20
2(13-4)= 18
10.
3v+w
3*4+2=14
3*6+3= 21
3*8+4= 28
11. you cannot see enough to do the problem so what ever the problem is you take the numbers and replace x with them 2 for the first one= x then do the problem to get the answer.
The solution of
are 1 + 2i and 1 – 2i
<u>Solution:</u>
Given, equation is 
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
<em><u>Let us determine the nature of roots:</u></em>
Here in
a = 1 ; b = -2 ; c = 5

Since
, the roots obtained will be complex conjugates.
Now plug in values in eqn 1, we get,

On solving we get,



we know that square root of -1 is "i" which is a complex number

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i
Answer:
35 + 21 = 7(5 + 3)
Step-by-step explanation:
In this question, we have to write an equivalent expression to the one on the left, while using the distributive property.
Our equation is: 35 + 21 = 7(_ + _), we have to find the missing values.
In the equation, we can see that 7 is divisible to 35 and 21, which means we can simply divide in order to get our missing numbers.
Divide:
35/7 = 5
21/7 = 3
When we plug those values into our equation, it would be:
35 + 21 = 7(5 + 3)
When you use distributive property by distributing the 7 to the number inside the parenthesis, you would get this:
35 + 21 = 35 + 21
When you simplify, you would get the same answer.
56 = 56.
Therefore, your answer would be 35 + 21 = 7(5 + 3)
Answer:
Pythagorean Theorom: a^2+b^2=c^2
Take the largest number of each as C (hypotenuse)
<u>3,4</u><u>,</u><u>5</u>
(3)^2+(4)^2= (5)^2
25=25
Therefore it is a Pythagorean Triple.
<u>8,15,17</u>
(8)^2+(15)^2=(17)^2
289=289
Therefore it is a Pythagorean Triple.
You are told 1 cm = 45 km
The distance is 2cm
2cm / 1cm = 2
2 x 45 = 90 km
The distance is 90 km.