Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.
Find slopes of these lines.
-4x-5y=-4
-4x+4 =5y
Divide by 5
Y= -4x/5 +4/5
Second line: 10x-8y=-1
10x+1=8y
Divide by 8
10x/8 +1/8 =y
Y= 5x/4 +1/8
So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.
Answer:
2√2
Step-by-step explanation:
<u>By </u><u>using </u><u>trigonometry,</u>
sin 45° = x/4
x = 4sin 45°
x = 2√2
<u>By </u><u>using </u><u>Pythagorean</u><u> </u><u>theorem</u><u>,</u>
Since you know that it is an isosceles triangle and it's also a right-angled triangle,
4² = x² + x²
16 = 2x²
x² = 8
x = √8
= 2√2
Answer:
Step-by-step explanation:
Let L represent the Length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
Then substitute 12 in for the length and 6in for the width. It becomes.
Perimeter = 2(12 + 6).
Perimeter =2 × 18 = 36
Hey!
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x – 3y = 3 is written in standard form. We can write in the slope-intercept form.
x - 3y = 3
x - 3y - x = 3 - x
3y = 3 - x
3y/3 = 3/3 - 3/x
y = 1 - 3/x
y = 1/3x - 1
Now, we know that the y-intercept is -1 and the slope is 1/3
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Hence, the answer is ![\Large\boxed{\mathsf{In~picture}}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B%5Cmathsf%7BIn~picture%7D%7D)
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Hope This Helped! Good Luck!