Answer for the first one - it's complicated, but that maths is correct
I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576.
since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.
Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2
First to get the equation you knew to understand one thing about perpendicular lines. The slope of the line is the opposite reciprocal of the perpendicular lines or the new slope is m = 10.
Then you use the formula
y = mx + b
you plug in your values from the point and the new slope.
(1,5) with new slope m
5= 10(1)+b
5-10=b
-5 = b
then make your new equation
y = 10x -5
that's your line that goes through point (1,5) and is perpendicular to the line given
Answer: Let me try to figure this out but this is not 7-8 grade math level
Step-by-step explanation:
You would simply have to plug in, or substitute, the given values in the equations.
So, H=-5, W=2 and the problem is 4h-3w
To plug them in, your new equation would be 4(-5)-3(2) and simplify. So it becomes -20-6 which = -26.
And -26 would be your answer.