Step-by-step explanation:
We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,
→ (a + b)² = a² + b² + 2ab
→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)
We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)
Solve the brackets, to do so first put the like terms in one box.
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)
Solve the rest calculations.
→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)
→ (2√5 + 3√2)² = 38 + 12√10
Option (a) (38 + 12√10) is the correct option.
Answer:
x=4
Step-by-step explanation:
To solve for x, use inverse operations:
-8x+3 = -29 Subtract 3 from both sides
-8x +3 -3 = -29 -3
-8x = -32 Divide both sides by -8
x = 4
Answer:
y+3=45(x+5)
Step-by-step explanation:
Hi there!
Point-Slope Form:
y-y1=m(x-x1)
Where
y1 stands for the y-coordinate of the point
m stands for the slope of the line
x1 stands for the x-coordinate of the point
In this case, the slope is 45, the y-coordinate of the given point is -3, and the x-coordinate of the point is -5.
Plug in the values and solve:
y-y1=m(x-x1)
y-(-3)=45(x-(-5)
y+3=45(x+5)
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts.

It can be both because there are diffrent sizes