Answer:
It would be 3C, 2C, 0C, -6C, -7C, -9C, then -18C
Step-by-step explanation:
This is because the larger a postive number is above 0, the greater it is. Along with this, the smaller a negative number is, the less it is.
Answer:
b and d
Step-by-step explanation:
3 + root 2 = 4.414...
30/root 19 = 6.882....
5.1 - (15/root 24) = 2.038....
4pi = 12.5663....
b and d
Answer:
Faris' arrival time = 3:30 pm + 3 h 54 mnt = 7:24 pm
Step-by-step explanation:
Driving distance between Manchester to London = 195 miles
Coach left Manchester = 3.30 pm
Average speed of coach = 50 mph
Total time taken by the coach to reach the Manchester to London = 195÷50 = 3.9 h
0.9 h = 0.9×60 mnt = 54 mnt
Now,
3.9 h = 3 h 54 mnt
Hence Faris' arrival time in London = 3.30 pm + 3 h 54 mnt = 7.24 pm
Answer:
After 4 seconds the the ball will hit the ground
that is the correct answer
Given that the AC and BC are perpendicular, their slopes are the negative inverse of each other which gives that the product of the slopes of AC and BC is -1
<h3>How can the prove that the product of the slopes is -1 be found?</h3>
The completed proof is presented as follows;
The slope of AC or GC is GF/FC by definition of slope. The slope of BC or CE is DE/CD by definition of slope.
<FCD = <FCG + <GCE + <ECD <u>by angle addition property </u> <FCD = 180° by the definition of a straight angle, and <GCE = 90° by definition of perpendicular lines. So by substitution property of equality 180° = <FCG + 90° + <ECD. Therefore 90° - <FCG = <ECD, by the <u>subtraction property of equality </u> . We also know that 180° = <FCG + 90° + <CGF by the triangle sum theorem and by the subtraction property of equality 90° - <FCG = <CGF, therefore <ECD = <CGF by the substitution property of equality. Then <ECD ≈ <CGF by the definition of congruent angles. <GFC ≈ <CDE because all right angles are congruent. So by AA ∆GFC ~ ∆CDE. Since <u>the ratio of corresponding sides of similar triangles are equal</u> then GF/CD = FC/DE or GF•DE = CD•FC by cross product. Finally, by the division property of equality GF/FC = CD/DE. We can multiply both sides using the slope of using the <u>multiplication property of equality </u> to get GF/FC × -DE/CD = CD/DE × -DE/CD. Simplify so that GF/FC × -DE/CD = -1. This shows that the product of the slopes of AC and BC is -1.
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