Answer:
see attachment
Step-by-step explanation:
The y-intercept is +4 for both lines, so only the third selection is appropriate. The lines appear to have a slope of magnitude less than 1, so ±1/2 seems about right.
(We expect at least one of the inequality symbols to include the "or equal to" case so there is no hole at x=0. Alas, it seems the third answer choice doesn't do that.)
Answer:
30cm^2
Step-by-step explanation:
area of large rectangle = length x width
= 5 X 9 = 45 cm^2
area of small rectangle = length x width
= 3 X 5 = 15 cm ^2
45 - 15 = 30cm^2
Answer:
18 and 19
Step-by-step explanation:
When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.
In our case we assume a is not smaller than 7, that is we assume a≥7.
a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:
3a+7≥28,
which is a contradiction because 3a+7 is smaller than 28.
So our assumption is wrong, which means the opposite of it is correct.
Answer: assume a≥7
<h3>
Answer:</h3>
See the attached
<h3>
Step-by-step explanation:</h3>
When you square the binomial (a -b), you get ...
... (a -b)² = a² -2ab +b²
That is, both the a² and b² terms have positive signs, and the middle term is twice the product of the roots of the squared terms.
The last two selections have negative signs on the constant, so cannot be perfect square trinomials.
The first selection has a middle term that is -ab, not -2ab, so it is not a perfect square trinomial, either.
The second selection is the correct one:
... 4a² -20a +25 = (2a +5)²