<u>Step-by-step explanation:</u>
The ellipse is vertical so y has the biggest radius.
Major axis (y) = 20 so the y-radius is 20/2 = 10
Minor axis (x) = 14 so the x-radius is 14/2 = 7
The equation of an ellipse is: 
where
- (h, k) is the center of the ellipse
- a is the x-radius
- b is the y-radius
Given: a = 7, b = 10
Assume: (h, k) = (0, 0)
Ok, so you are given the value of P=q+2
The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27
Doing so will give us 4(q+2)+3q= -27
For right now, lets just focus on the first part, 4(q+2)
We can simplify this by distributing(multiplying) the 4 to whats inside the variables.
This will give us 4q+8
now lets add this back to the rest of the equation >>> 4q+8+3q = -27
We can further simplify by adding like terms >>> 7q+8 = -27
subtract the 8 from both sides >>> 7q = -35
now divide both sides by 7 >>> q = -35/7
Therefor q = -5
EDIT*
now that we know q = -5 we can put q into the equation for P !
we know that p=q+2
so lets put q in now >>> p=(-5)+2
and simplify>>> p = -3
I hope this helps:)
Answer:
The answer to your question is number 3.
Step-by-step explanation:
Data
slope = m = 2
Point = (3, 9)
Process
1.- Write the equation of the line in the form point-slope
y - y1 = m(x - x1)
2.- Identify the values of x1 and y1
x1 = 3 y1 = 9
3.- Substitution
y - 9 = 2(x - 3)
4.- Simplify
y - 9 = 2x - 6
y = 2x - 6 + 9
5.- Result
y = 2x + 3 slope y-intercept form
Answer:
9) 1/48
11) 1/24
13) 5/16
14) 1/8
Step-by-step explanation:
9) P(A and 5) = 1/8 × 1/6
11) P(J and LT 3) = 1/8 x 2/6
13) P (consonant and odd) = 5/8 x 1/2
14) P ('M' or 'T' and GT 3) = [(1/8+1/8) × 1/2] = 2/8 x 1/2
10 + (-34) is the same as 10 - 34, for adding a negative number is the same as subtracting the two numbers
remember, one positive and one negative = negative (as it is the same as +1(-34)
B is your answer
