Answer:
Equation of the parabola is 
Step-by-step explanation:
We have to find the equation of a parabola with vertex is (-4,-3) and a directrix x=2.
As vertex is (-4,-3) that means parabola is in third quadrant.
So the standard formula of the parabola will be y²= -4px through origin (0,0).
But when a parabola is shifted from origin to the left of y axis so the equation will be (y-shifting form y axis)² = -4(distance between vertex and directrix)(x-shifting from x axis)
.
96 - 4.5y - 3.2y = 5.6y + 42.80
96 - 7.7y = 5.6y + 42.80
96 = 5.6y + 42.80 + 7.7y
96 = 13.3y + 42.80
96 - 42.80 = 13.3y
53.2 = 13.3y
4 = y
hope that helps, God bless!
Answer:
the answer is -8 13/30
Step-by-step explanation:
Options 1, 3 and 5. The true statements based on the fact that c and d are parallel are:
- m<3 = m<6 = 98 degrees
- m<4 = m<8 = 82degrees
- m<5 = m<8 = 82 degrees
<h3>How to solve for the angles </h3>
The sum of the angles m<4 + m<3 = 180
m<4 + 82 = 180
m<4 = 180 - 82= 98
From the question we have the first as alternate interior angles. The second is corresponding angles and the last option is vertical angles.
Read more on angles here:
brainly.com/question/26033691
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I will draw a rough figure, you can draw it neatly.
Probability =
Probability = No. of favourable outcomes/ Total no. of outcomes
Probability = No. of favourable outcomes/ Total no. of outcomesTotal number of outcomes = 4
So, here:
P(2) = 2/4 = 1/2
P(1) = 1/4
P(3) = 1/4
P(4) = 0
Here, the probability of getting 2 is ½.
Probability of getting 1 is ¼.
Probability of getting 3 is ¼.
Probability of getting 4 is 0.
