Answer:
T = -7 + 3t .
Step-by-step explanation:
T = -7 + 3t where T = the temperature and t = the times in hours.
Answer:
Step-by-step explanation:
The distance d between a point (m , n ) and a line in the form
Ax + By + C = 0 , is calculated as
d = 
Here (m, n ) = (6, 2 ) and
6x - y = - 3 ( add 3 to both sides )
6x - y + 3 = 0 → A = 6, B = - 1, C = 3
d = 
= 
= 
= 
× 
= 
← cancel 37 on numerator/ denominator
=
Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
_____
If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Answer:
The numbers less that 40 which have sum of digits 8 are 17, 26, 35.
Only one of those that has a factor of 7. And that is 35.
So you are 35.
Second way:
The numbers less that 40 which have a factor of 7 are 7,14,21,28,35
Only one of those which has sum of digits as 8. And that is 35.
So you are 35.
Step-by-step explanation:
