It could include all real numbers, really. If you have +$130 you could use them to pay for something. If you have -$27.5 you need to pay this sum to the bank, since you overused your credit.
Original line: y=1/2x-9
Perpendicular lines have opposite slopes from the original lines. Since the original slope is 1/2, the perpendicular slope will be -2/1 or -2. The numbers switch places and switches from positive to negative.
New line: y=-2x+b
To solve for the y-intercept (b), plug the given coordinates (3,2) into the x and y spots in the equation:
2=-2(3)+b
Now, solve for b.
2=-6+b
Add 6 to both sides.
8=b
The y intercept is 8.
Now, your perpendicular line equation is:
y=-2x+8
I hope this helps :)
Answer:
g=9
Step-by-step explanation:
Add 1 to both sides of the equation t get 3.1(g-7)=6.2
Then divide both sides by 3.1 to get g-7=2
Then add 7 to both sides to get g=9
The vertex angle bisector divides the triangle into two congruent right triangles. The sine of half of the vertex angle will be half of the base divided by the side (from the definition of the sine of an angle). Then the total vertex angle is ...
α = 2×arcsin(3.5/5) ≈ 88.9°
_____
Using the Law of Cosines, the vertex angle can be found as
arccos((7^2 -5^2 -5^2)/(-2*5*5)) = arccos(1/50) ≈ 88.9°
Answer: 7410 watches
Step-by-step explanation:
From the random sample of 250 watches, 3 are defective. The percentage that's defective will be:
= 3/250 × 100
= 1.2%
Percentage that's not defective = 100 - 1.2 = 98.8%
Therefore, from the sample of 7500 watches, the number that's not defective will be:
= 98.8% of 7500
= 98.8/100 × 7500
= 7410
Therefore, 7410 watches aren't defective
