Answer:
y = 5x - 4
Step-by-step explanation:
The equation y = 5x + 9 currently does not pass through the point (3, 11). It asks us to create the equation of a line parallel to y = 5x + 9. So all we have to change is the 9, where the line passes through the y-coordinate. The slope, 5x, has to stay the same, otherwise, the new line will not be parallel to y = 5x + 9.
The line has to pass through to point (3, 11). The 3, stands for the x value, and 11 the y value. If we start at the y value of -4, that means the very next point would be (1, 1), and the next one, (2, 6), and the final one, (3, 11). This is because we know the slope of the line is 5x, that means for every 1 gained x value, the y value gains 5 values.
So, the equation of the new line would be this:
y = 5x - 4
I Hope That This Helps! :)
Answer:
1/380
Step-by-step explanation:
<u>Probability of Bob's name drawn first is:</u>
- 1/20 as there are 20 people with equal chance
<u>And probability of Laquisha's name drawn second is: </u>
- 1/19 as there are 19 people left with equal chance
<u>Probability of the two events happening is: </u>
- 1/20*1/19 = 1/380 product of individual probabilities
Answer:
Step-by-step explanation:
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Good evening ,
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394 384÷2
=197 192
197 192÷2
=98 596
98 596÷2
=49 298
49 298÷2
=24 649
24 649÷157
=157
157÷157
=1
Then 394 384 = 2⁴ × 157² = 4² × 157² = 628²
So 394 384 = 628²
So √(394 384) = 628
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:)
Answer:
a) X = 65°
b) Y = 71°
c) Z = 44°
Step-by-step explanation:
a) X is a vertical angle with the one marked 65°, so has that same measure.
b) Y is an opposite interior angle with the one marked 71° where the transversal between angles Y and Z crosses the parallel lines. That makes it have the measure 71°.
c) Z is the third angle of a triangle with the other two angles being 65° and 71°, so it is 180° -65° -71° = 44°. (The sum of angles of a triangle is 180°.)