The equation of a conic section is 2y2 – x – 8y + 5 = 0. What is the equation in graphing form?

Answers

Answer 1

Answer: if you mean solve for y to input into calculator
2y^2-x-8y+5=0
2y^2-8y=x-5
complete the square with y
2(y^2-4y)=x-5
2(y^2-4y+4-4)=x-5
2((y-2)^2-4)=x-5
2(y-2)^2-8=x-5
2(y-1)^2=x+3
(y-1)^2=(x+3)/2
y-1=√((x+3)/2)
y=1+√((x+3)/2)

or we can graph it by hand
(y-1)^2=(1/2)(x+3)
it is a horizontal hyperbola
get into (y-k)^2=4P(x-h) form
(y-1)^2=4(1/8)(x-(-3))
since P>0, graph opens to right
P is distance from directix to vertex and from vertex to focus

vertex is (-3,1)
directix is x=-3.125
focus is (-2.875,1)
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Use the distributive property to multiply 5(b+8)a.5b+40
b.5b+8
c.5b+13
d.8b+40

Answers

Answer:

Is a. 5b+40

Step-by-step explanation:

The distributive property explains that the multiplication of a number by a sum is equal to the multiplication of the number by each of the addends. So in this case we can multiply the number 5 by each one of the addends, this is:

$5*(b+8)=5*b+5*8=5b+40$

From the above the answer is a. 5b+40

The answer is 5b+40

5+b=5b
5×8=40

=5b+40

Factor x2 + 11x + 30.

Answers

Solution- (x+5)(x+6)

Rewrite the expression using the distributive property. 8(4x+6y-3z)

Answers

All you need to do is distribute the 8 into each of the terms in the parenthesis.

Your equation will then become

32x + 48y - 24z

When there is a number outside the parenthesis, you multiply. So we have multiply everything in the parenthesis with 8. Which is equal to 8 (4x) 8 (6y) 8(-3z) = 32x + 48y - 24z.

Craig has £13.40 he sees this offer in a restaurant :main courses £8.90 each.Buy one main course and get the second half price. Can he afford to buy two main courses?Show your working

Answers

Answer:

Yes

Step-by-step explanation:

Full price for first course: £8.90

Half price: £4.45

One and one half times

full price is then: £13.35

Since this is less than Craig's £13.40, he can just barely afford to buy two main courses at these prices.

What is the answers to this math 3-3x6+2=

Answers

Follow the BDMAS rule: -3x6= -18. 3-18+2. 3-16 = -13 is the answer. :))

3-3x6+2= 3 times 6 is 18 3-18= -15 -15+2=-13 So I used PEMDAS with this problem I hope this help if u want more information tell me so I can help

Jonathan has a collection of 400 marbles. Blue marbles make up 17%, percent of his collection. How many blue marbles does Jonathan have?

Answers

17% of 400
percent means parts ou of 100
17%=17/100
'of' means mutiply

17/100 tiems 400=4*17=68

68 blue marbles

To find any percentage of something, just multiply the whole value by the percentage of whatever you're trying to find the value of.
17% converted to a decimal is 0.17. 400*0.17 = 68.
Jonathan has 68 blue marbles in his collection.
Hope that helped you!

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