<h2>
Answer:</h2><h3>n = 15</h3><h3 /><h2>
Step-by-step explanation:</h2><h3>now what do we divide by 3 to get 5 = 15</h3><h3>now lets swap the n with the 15 to get</h3><h3>4^(
![\frac{15}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B3%7D)
+ 5) = 40</h3><h3>now simplify 4^(5 + 5) = 40</h3><h3>simplify again 4^(10) = 40</h3><h3>4^ means times whats in the brackets by 4</h3><h3>that equals 40 = 40</h3>
1. Let the sides of a triangle be a, b and c.
Assume c is the largest side.
The maximum angle measure in an acute triangle can be 90°. In such a case we would have
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20)
Now forget about side c, and open the angle between a and b just a little bit. Now clearly
![a^{2} + b^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D)
is larger that
![c^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D)
because the "new c" is larger than the old one.
2. So for 3 numbers to be the lengths of the sides of an acute triangle, the sum of the squares of the 2 smaller numbers must be at most equal to the square of the largest number but not more.
Check:
A. 4^2+5^2=16+25=41<49
B. 5^2+7^2=25+49=74>64
C. 6^2+7^2=36+49=85<100
D. 7^2+9^2=49+81=130<144
3. Correct answer: only B
Answer:
x=-2, y=1
Step-by-step explanation:
To solve a system of equations, you set x+3 and 2x+5 equal to each other and solve. This simplifies to x=-2. Then you plug itin to one of the equations to get y. Hope this helps and have a magnificent day!!!!! Stay safe!!!
Yoo kid for these type of problems your better o go with an app called Photomath
Answer:
f(12) = - 20
Step-by-step explanation:
To evaluate f(12), substitute x = 12 into f(x), that is
f(12) = - 2(12) + 4 = - 24 + 4 = - 20