Answer:
49
Step-by-step explanation:
-3√(t) = -21
√(t) = 7
t = 49
I think it means check your answer and provide reasoning
For this, you'd need to know the Euclidean Distance Formula (it's basically the most common one)
−−−−−−−−−−−−−−−−
distance=√<span>(<span>x2</span>−<span>x1</span><span>)^2</span>+(<span>y2</span>−<span>y1</span><span>)^2
You would just plug in the points so A is at (2,4) this means that 2 is x1 and 4 is y1. Same with point B but instead of -4 being x1 it would be x2 alsong with -3 being y2.
Ok so when you plug in the points, you get this equation that should be simplified
</span></span> −−−−−−−−−−−−−−−−
distance=√(-4−2)^2+(-3−4)^2
−−−−−−−−−−−−−−−−
distance=√(-4+(-2))^2+(-3+(-4))^2
I negated the 2 and 4 because of the rules with negatives which basically states that if a positive number is being subtracted from a negative number, it will be multiplied by -1 to make the positive a negative number. Also the subtraction sign will be changed into an addition sign.
Simplify this.
−−−−−−−−−−−−−−−−
distance=√(-6)^2+(-7)^2
6^2 = 36
7^2= 49
−−−−−
distance=√36+49
36+49=85
−−
distance=√85
Then the square root of 85 is <span>9.21954445729, but because we are rounding to the nearest tenth</span> the distance is 9.2.
