Answer:
LCD = 270
Equivalent Fractions with the LCD
1/6 = 45/270
13/27 = 130/270
4/5 = 216/270
3/10 = 81/270
2/5 = 108/270
This means that the number is positive.
The absolute value is the distance away from 0 the number is.
So 1's absolute value would be 1, yet -5's absolute value would be 5.
So the number that's equal to its absolute value is positive, and the one that's not is negative.
So if you subtract 2 from the positive number, it must turn negative.
So 1 is a number that satisfies these conditions.
Answer:
y+2 = 2(x+2)
Step-by-step explanation:
given point (a,b) and slope m, point slope form of a line is:
y-b = m(x-a)
Answer:
y = (1/3)x - 1
Step-by-step explanation:
The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).
y = mx + b
m = slope
y = (1/3)x + b
Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.
2 = (1/3)(9) + b
2 = 3 + b
b = -1
Now we replace b with -1.
y = (1/3)x - 1
Answer:
87.0°
Step-by-step explanation:
The law of sines can be used to solve this. We have two sides of a triangle and the angle opposite one of them. We want to find the angle opposite the other known side.
In the attached, the triangle is ΔACS. We have side "a" = 9, and side "c" = 10. Angle A is given as 64°. The law of sines tells us ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin((c/a)sin(A)) = arcsin(10/9·sin(64°)) ≈ 87.03°
The ladder makes an angle of about 87° with the ground.
