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Dovator [93]
4 years ago
8

Determine the factors of 15x2 + 3xy + 10x + 2y.

Mathematics
2 answers:
Phoenix [80]4 years ago
5 0
Letter A is the correct answer
Ganezh [65]4 years ago
4 0

Answer:

The correct option is a.

Step-by-step explanation:

The given expression is

15x^2+3xy+10x+2y

It can be written as

(15x^2+10x)+(3xy+2y)

Taking out the common factors from each parenthesis.

5x(3x+2)+y(3x+2)

Now, again taking out the common factors.

(3x+2)(5x+y)

Therefore the correct option is a.

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Darya [45]
I’m pretty sure it would be $12.72!
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3 years ago
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The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?
topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1

It can be rewritten as

\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1         .....(1)

The standard form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1           ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are (h\pm a, k).

From (1) and (2) we get

h=6,k=-7,a=4,b=2

Since a>b, therefore the vertices of the ellipse are

(h+a, k)=(6+4,-7)\Rightarrow (10,-7)

(h-a, k)=(6-4,-7)\Rightarrow (2,-7)

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0
3 years ago
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figure abcd is similar to figure mnkl if ab = 2x + 1, bc= 12, mn = 8, nk=7 and kl=13, what is the value of x​
Kruka [31]

Step-by-step explanation:

are this form 1 question??

4 0
3 years ago
What is the standered form of the number shown in the calculator display? <br> 3.82e+7
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the answer is 38200000

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Rudik [331]

the domain is all the real numbers, or (-infinite <x<infinite)

the range is y>=-4

axis of symetry is x= -1

vertex is (-1,-4)

the parabola opens upwards

x intercepts (-3,0) and (1,0)

y intercepts (0,-3)

5 0
2 years ago
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