Each side of the smaller square is the hypotenuse of the triangles with legs of 3 and 4. From the Pythagorean Theorem, we can calculate the hypotenuse:
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
hypotenuse = 5
Therefore, the area of the smaller square is 5 * 5 = 25
You would divide b on both side so you can get x=-7/b
Answer:
Step-by-step explanation:
1) <u>The two points are</u>:
a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>
b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>
2) <u>The general equation using the form given is</u>:
3) <u>Substitute the two points</u>:
4) <u>Divide the second equation by the first one</u>:
⇒ 13.5 / 18 = B
⇒ B = 0.75
5) <u>Substitue B = 0.75 into the first equation</u>:
18 = A (0.75) ⇒ A = 18 / 0.75 = 24
Hence, the equation is:
First find the decimal equivalent of square root 3: SQRT(3) = 1.732 ( roughly)
If the base and height were each 3, then the hypotenuse would need to be:
3^2 + 3^2 = C^2
9 + 9 = C^2
18 = C^2
C = SQRT(18) = 4.24
This is larger than sqrt(3), so this cannot be a right triangle.
If one leg was 3 and the other leg was sqrt(3) then the hypotenuse would be:
3^2 + 1.73^2 = C^2
9 + 3 = C^2
12 = C^2
C = SQRT(12) = 3.46
This is larger than 3, this cannot be a right triangle.
The answer is b) no.
<span>Solving for the slope using points ( (−4, 15), (0, 5)</span>
M = ( 15 – 5) / ( -4 – 0) = -5 / 2
Solving for b
<span>
Y = mx + b</span>
5 = 0(-5/2) + b
B = 5
So the linear function is
<span>Y = (-5/2) x + 5</span>
