Answer:
Step-by-step explanation:
y=4x^2-7
vertex(0,-7)
Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
There are 5 cards less than nine that are prime, so there is a 5/9 chance of picking the first one prime. The second one would be 4/8 or 1/2, because you have removed a card from the deck. You multiply them together to get: 5/18.
Hope this helps!
Answer:
ok
Step-by-step explanation:
Answer:
12.94
Step-by-step explanation:
By the law of sines:
x / sin(35) = 7.9 / sin70
x = 7.9 * sin(70)/sin(35)
= 7.9 * 0.9397 / 0.5736
= 12.94
