F(5) = -2 * 5 + 1 = -9
the pair is (5, -9)
Answer:
![C = 25](https://tex.z-dn.net/?f=C%20%3D%2025)
![F = 50](https://tex.z-dn.net/?f=F%20%3D%2050)
![F = 5](https://tex.z-dn.net/?f=F%20%3D%205)
Step-by-step explanation:
Given
Similar Triangles: ABC and DEF
![A = 15](https://tex.z-dn.net/?f=A%20%3D%2015)
![B = 20](https://tex.z-dn.net/?f=B%20%3D%2020)
![C = 25](https://tex.z-dn.net/?f=C%20%3D%2025)
Required
Determine the sides of DEF
No options were given, so I will solve on a general terms.
Since both triangles are similar, then the following relationship exists.
DEF = ABC * n
i.e.
![F = C * n](https://tex.z-dn.net/?f=F%20%3D%20C%20%2A%20n)
Where
![n = Scale\ Factor](https://tex.z-dn.net/?f=n%20%3D%20Scale%5C%20Factor)
Assume n = 2.
So, we have:
![D =15 *2](https://tex.z-dn.net/?f=D%20%3D15%20%2A2)
![D = 30](https://tex.z-dn.net/?f=D%20%3D%2030)
![E = 20 * 2](https://tex.z-dn.net/?f=E%20%3D%2020%20%2A%202)
![E = 40](https://tex.z-dn.net/?f=E%20%3D%2040)
![F = C * n](https://tex.z-dn.net/?f=F%20%3D%20C%20%2A%20n)
![F = 25 * 2](https://tex.z-dn.net/?f=F%20%3D%2025%20%2A%202)
![F = 50](https://tex.z-dn.net/?f=F%20%3D%2050)
Assume ![n = \frac{1}{5}.](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B1%7D%7B5%7D.)
So, we have:
![D =15 *\frac{1}{5}](https://tex.z-dn.net/?f=D%20%3D15%20%2A%5Cfrac%7B1%7D%7B5%7D)
![D = 3](https://tex.z-dn.net/?f=D%20%3D%203)
![E = 20 * \frac{1}{5}](https://tex.z-dn.net/?f=E%20%3D%2020%20%2A%20%5Cfrac%7B1%7D%7B5%7D)
![E = 4](https://tex.z-dn.net/?f=E%20%3D%204)
![F = C * n](https://tex.z-dn.net/?f=F%20%3D%20C%20%2A%20n)
![F = 25 * \frac{1}{5}](https://tex.z-dn.net/?f=F%20%3D%2025%20%2A%20%5Cfrac%7B1%7D%7B5%7D)
![F = 5](https://tex.z-dn.net/?f=F%20%3D%205)
So, the possible sides are:
![C = 25](https://tex.z-dn.net/?f=C%20%3D%2025)
![F = 50](https://tex.z-dn.net/?f=F%20%3D%2050)
![F = 5](https://tex.z-dn.net/?f=F%20%3D%205)
Answer:
<h2>The answer is 13</h2>
Step-by-step explanation:
x² + y²
x = - 3 , y = - 2
Substitute the values of x and y into the above expression and solve
That's
( - 3)² + (-2)²
= 9 + 4
We have the final answer as
<h3>13</h3>
Hope this helps you
Hello there! :)
<em><u>Answer:</u></em>
<em><u>=33p+58x</u></em>
<em><u>*The answer must have a positive sign.*</u></em>
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
First, expanded form. Then you can also multiply from left too right.
![11(3p+5x)=33p+55x](https://tex.z-dn.net/?f=11%283p%2B5x%29%3D33p%2B55x)
Next, rewrite the problem down.
![33p+55x+4x-x](https://tex.z-dn.net/?f=33p%2B55x%2B4x-x)
And finally, you add by the similar elements. Then you add by the numbers too.
![55x+4x-x=58x](https://tex.z-dn.net/?f=55x%2B4x-x%3D58x)
Final answer: → ![33p+58x](https://tex.z-dn.net/?f=33p%2B58x)
Hope this helps!
Thanks!
Have a great day!
-Charlie
:)
:D