Mathematics
21.03.2022 09:50
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Given f(x)=4x^2 and g(x)=-1/5x^2 choose true or false A f(x) and g(x) have the same

Given f(x)=4x^2 and g(x)=-1/5x^2 choose true or false A f(x) and g(x) have the same axis of symmetry

B f(x) is wider than g(x)

C f(x) is narrower than g(x)
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adiboo2004
adiboo2004
4,5(32 marks)

it is gonna be c trust me I know for a fact

HalpMehPlz
HalpMehPlz
5,0(18 marks)

Step-by-step explanation:

Hi...

You ask any irrelevant Question, that is why they get deleted.

Alangs
Alangs
4,5(20 marks)

A general line equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we will find that for N(x₁, y₁), the line q is:

y = \frac{7}{6}*x + (y_1 -  \frac{7}{6}*x_1)

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that the line passes through (-4, -4) and (2, 3), then the slope is:

a = \frac{3 - (-4)}{2 - (-4)} = \frac{7}{6}

So the line is something like:

y = \frac{7}{6} *x + b

To find the value of b, we can use one of the two points, for example (2, 3) means that when x = 2, y must be equal to 3, then we can replace these two in the line equation to get:

3 = \frac{7}{6}*2 + b\\\\3 = \frac{7}{3}  + b\\\\3 - \frac{7}{3}  = b = 2/3

Then the line LM is;

y = \frac{7}{6}*x + \frac{2}{3}

Now we know that line q is in the same coordinate plane, but does not intersect LM. This means that these lines are parallel, and remember that two parallel lines have the same slope, then the slope of line q is also 7/6.

Now we know that line q passes through point N, but we do not know the coordinates of point N, then let's use general coordinates as N(x₁, y₁)

Then line q will be:

y = \frac{7}{6}*x + c

To find the value of c we use the point N.

y_1 = \frac{7}{6}*x_1 + c\\\\y_1 - \frac{7}{6}*x_1 = c

Then the equation of line q is:

y = \frac{7}{6}*x + (y_1 -  \frac{7}{6}*x_1)

If you want to learn more, you can read:

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