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3 years ago

6

one number is 4 less than 3 times another number. if their sum is 16, find the numbers. which of the following equations could b

e used to solve the problem if x represents a number?

1 answer:

Olin [163]3 years ago

5 0

X=3y-4
x+y=16

3y-4+y=16

4y = 20

y =5

x+y=16

x+5=16

x=16-5

x=11
y=5

hope helped

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Step-by-step explanation:

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Step-by-step explanation:

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The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

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So equation of the plane would be of the form

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labwork [276]

Answer:

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Step-by-step explanation:

Let us consider the image attached in the answer area.

The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

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Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

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2 years ago