Firstly, we will let this mystery number we are finding be labelled as x. Double this number can be written as 2x. 5 less than double this number is written as 2x - 5. And because this number is between -7 and 13, we have the full inequality, -7 < 2x - 5 < 13.
To solve this inequality, we want to isolate x, so we add 5 to all 3 parts of the inequality. Doing so cancels out the - 5 in the middle, so our new inequality is -2 < 2x < 18. Now we want to divide all 3 parts of the inequality by 2 to isolate x, so now our final inequality is -1 < x < 9. Thus, we can say that x is between -1 and 9.
Consecutive prime numbers are going to be close to one another in the number line, and therefore not very different from the square of the number midway between them. We can thus try to locate the prime numbers in question by looking between the square root of 1000 (31.6) and 1500 (38.7). <span>In this immediate vicinity, the only prime numbers are 31 and 37, which are consecutive - no other prime numbers lie between them. The product of 31 and 37 is 1147, which is between 1000 and 1500. This meets the description above, so Martiza's PIN must be 1147.
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Answer 169
This is because 13x13=169
Answer:
Option A , (0, 20); y equals one over eighty times x squared plus 20
Step-by-step explanation:
The equation of parabola is given by
(X-h)^2 = 4p(Y-k)^2
In this case h = 0
So we get
Y = X^2/4P +k
Focus point is (h, p+k) , p+k = 40
Hence h, k = (0,20)
P = 40-k = 20
Equation Y = X^2/80 +20
Hence, option A is correct
plz mark brainliest
Answer:
Step-by-step explanation:
cos(50°) = 13/x
x = 13/cos(50°) ≅ 20.2
