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qaws [65]
3 years ago
11

Sorry its a little blurry but what is it​

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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How to classify this conic ecwation 4x^2+9y^2-54y-63=0
MArishka [77]
This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
6 0
4 years ago
Which is the 9th term of the sequence which has a first term of 1 and has a common ratio of 1.5
noname [10]
Hey!
So what you can do is:
1 x 1.5 = 1.5(2nd term)
1.5 x 1.5=2.25(3rd term) x 1.5=3.375(4th term) x 1.5 = 5.0625(5th term)

5.0625 x 1.5=7.59375(6th term)x1.5=<span> 11.390625

</span>11.390625 x1.5= 17.0859375(8th term)x1.5=<span> 25.62890625</span>(9th term)

The answer is D!
Hope this helps!

5 0
4 years ago
Read 2 more answers
10. Write (2x + 1)(x - 3)(x - 2) in standard form.
Leto [7]

Answer:

2x^3-9x^2+7x+6

Step-by-step explanation:

The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.

(2x+1)(x-3)(x-2)

Distribute,

(2x+1)(x-3)(x-2)

((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)

Simplify,

((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)

(2x^2-6x+x-3)(x-2)

(2x^2-5x-3)(x-2)

Distribute,

(2x^2-5x-3)(x-2)

(2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)

Simplify,

(2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)

2x^3-5x^2-3x-4x^2+10x+6

2x^3-9x^2+7x+6

This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.

8 0
3 years ago
Two water pumps are filling a pool. One of the pumps is high power and can fill the pool 5 hours before the other can do. Howeve
9966 [12]

L = hours for the slower pump to fill the pool

L - 5 = hours for the high power pump, since it can do it in 5 hours less.

since the slower pump takes L hours, the faster pump takes then L - 5 hours.

we know both pumps together take 3 hours to do <u>half of the pool</u>, so that means that to fill up <u>the whole pool it takes them 6 hours</u>.

since the slower pump can do it alone in L hours, in 1 hour it has done 1/L of the whole thing.

likewise, since the faster pump can do it in L-5 hours, in 1 hour alone it has done 1/(L-5) of the whole job.


\bf \stackrel{\textit{slower pump's rate}}{\cfrac{1}{L}}~~~~+\stackrel{\textit{faster pump's rate}}{\cfrac{1}{L-5}}~~~~=~~~~\stackrel{\textit{total done in 1 hour}}{\cfrac{1}{6}} \\\\\\ \textit{let's multiply both sides by }\stackrel{LCD}{6(L)(L-5)}\textit{ to do away with the denominators} \\\\\\ 6(L)(L-5)\left( \cfrac{1}{L}+\cfrac{1}{L-5} \right)=6(L)(L-5)\left( \cfrac{1}{6} \right)


\bf 6(L-5)+6L=(L)(L-5)\implies 6L-30+6L \\\\\\ 12L-30=L^2-5L\implies 0=L^2-17L+30 \\\\\\ 0=(L-15)(L-2)\implies L= \begin{cases} \boxed{15}\\ 2 \end{cases}


now, we can't use L = 2, because, the whole job by both is done in 6 hours, there's no way the slower pump can do it in less than that, so L = 15.

now if L = 15, then L - 5 = 10.

5 0
4 years ago
The coordinates of the vertices of / are G(–2, 3), H(–1, 2), and I(–3, 1). If / is reflected across the x-axis to create /, find
valkas [14]

Answer:

A. (–2, –3)

that is the answer

3 0
4 years ago
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