Answer:
16
Step-by-step explanation:
f(x) = 2x^2 + 4x + 10
f(-3) = 2(-3)^2 + 4(-3) + 10
f(-3) = 2(9) + (-12) + 10
f(-3) = 18 + (-12) + 10
f(-3) = 16
You need to find out if 57 can be divided evenly by a number other than 1 and 57.
57 is odd, so it is not divisible by 2.
The digits of 57 are 5 and 7. Add 5 + 7 to get 12. Since 12 is divisible by 3 (12/3 = 4), then 57 is also divisible by 3.
57/3 = 19
19 is a prime number, so the only factors of 57 are 1, 3, 19, 57.
57 rows can be divided into 19 sections of 3 rows each or 3 sections of 19 rows each.
The domain of a graph is the possible values of x, the graph can take.
<em>(b) The domain of the relation is the interval [-10,10]</em>
From the attached graph, we have the following observations on the x-axis.
- <em>The value of x starts from -10</em>
- <em>The value of x ends at 10</em>
So, the domain of x is from -10 to 10
Using interval notation, the domain of the relation is: ![[-10,10]](https://tex.z-dn.net/?f=%5B-10%2C10%5D)
Read more about domains at:
brainly.com/question/16875632
Answer:
The length of a side of the flag is 7.2inches
Step-by-step explanation:
Let length = x
Let hypotenuse = x+3
Using Pythagoras' Theorem:
x^2 + x^2 = (x+3)^2
x^2 + x^2 = x^2 + 6x + 9
2x^2 = x^2 + 6x + 9
×^2 - 6x - 9 = 0

x=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)
×=[6+sqrt.72]/2
×=7.2inches
×=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)
x=[6-sqrt.72]/2
×=-1.2(rej)
(PS. sqrt is square root)
(Correct me if i am wrong)