Answer:
y=5x or y=5x+0
Step-by-step explanation:
there is a slope of 5 and it has no setoff
Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
Answer:
The prediction for the number of transistor per IC in 1992 is of 4,194,304,000
Step-by-step explanation:
Moore's law:
Moore's law states that the number of transistors per IC doubles every year.
Format of the function:
Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:
In which N(0) is the initial estimate.
The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).
This means that 
So
What would you predict the number of transistors per IC to be 20 years later, in 1992?
This is N(20). So
The prediction for the number of transistor per IC in 1992 is of 4,194,304,000
(x-y)(x^2+xy+y^2)
The first parentheses contain the cubed root of both the terms so x and y respectively. second parentheses follows the formula (a^2 + ab + b^2)
x corresponds to a and y corresponds to b. The signs are what change depending on what the original equation is. Since the original is a subtraction then the signs are -/+/+. you can remember it using the acronym SOAP. (S = same, O = opposite, AP = always positive) So the first sign is x - y (same as subtraction from original), the second and third are x^2 + xy + y^2 (opposite is a plus, and the last sign is always a positive.
<h2>○=> <u>Correct option</u> :</h2><h2>
</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>
Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.
Which means :
Let us solve that equation to find the value of p and the two angles :
Thus, value of p = 43
Measure of angle (p+7)° :
Measure of angle (3p+1)° :
Thus, the measure of the larger angle = 130°
Therefore, the correct option is <em>(a) 130</em>
