Answer: the first one
Step-by-step explanation: head math
Answer:
i) Sally' s grocery bill = c - 
c = 0.95c
Therefore the correct option is B.)
ii) Therefore the expression which represents the expected population
next year is given by :
= p + 
p = 1.075p
Therefore the correct option is B.)
Step-by-step explanation:
Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%.
Let c represent the cost of Sally's groceries.
therefore the expression which represents Sally's grocery bill is given by :
Sally' s grocery bill = c - c = 0.95c
Therefore the correct option is B.)
The population of a city is expected to increase by 7.5% next year If p represents the current population, which expression represents the expected population next year?
Let p = current population of a city.
Therefore the expression which represents the expected population next year is given by :
= p + p = 1.075p
Therefore the correct option is B.)
All are correct except these 2:
The graph has one x-intercept:
No, the graph does not cut at the x-axis at all, there is no x-intercept.
The graph as a y-intercept at (5,0):
No, the y-intercept is at (0,5)
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.
