F(3) occurs when x =3. So lets plug 3 into our equation.
F(3) = -28
I hope this helps! :)
There’s no m in the photo
Answer:
The solution of the first image is: b = √48
The solution of the second image is: c = √125
Step-by-step explanation:
Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.
For a triangle rectangle with cathetus A and B, and a hypotenuse H, we have the relationship:
A^2 + B^2 = H^2
Where H is the side that is opposite to the right angle (the angle of 90°)
In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.
We want to find the value of b, that is the other cathetus.
Then we have:
4^2 + b^2 = 8^2
b^2 = 8^2 - 4^2
b^2 = 48
b = √48
Second image:
in this case, c is the hypotenuse, a and b are the cathetus.
We know that:
a = 5, b = 10
Then we have the equation:
a^2 + b^2 = c^2
Now we can replace the above values:
5^2 + 10^2 = c^2
25 + 100 = c^2
125 = c^2
√125 = c
2(4z−2) = 44
Simplify both sides of the equation.
Distribute:
(2)(4z)+(2)(−2) = 44
8z + −4 = 44
8z − 4 = 44
Add 4 to both sides.
8z − 4 + 4 = 44 + 4
8z = 48
Divide both sides by 8
8z/8 48/8
z = 6
Hello, there!
<span>Ten times a number is sixteen more than twice the number. Find the number.
Answer: 2
-----------------------------------------------------------------------------------------------------
Explanation:
</span>
First, let's write the equation.
Ten times a number -- 10x
16 more -- 10x - 16
Twice the number -- 2x
10x - 16 = 2x or 10x = 2x + 16
Let's use the first one: 10x - 16 = 2x
First, let's isolate the x to one side.
10x - 16 = 2x
-10x -10x
-16 = -8x
Now, let's multiply each side by -1 to make them positive
-16 = -8x
*-1 *-1
16 = 8x
Finally, let's divide each side by 8
16 = 8x
---- ----
8 8
Our answer is 2 = x
This means that the number is 2.
I hope I helped!
Let me know if you need anything else!
~ Zoe
