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Sloan [31]
3 years ago
9

Find the x- and y- intercepts of the equation -x+5y=10.

Mathematics
1 answer:
mario62 [17]3 years ago
4 0

Answer:

X Intercept: (-10,0), Y Intercept: (0,2)

Step-by-step explanation:

Well, firstly you need to rewrite the equation to make it easier. After rewriting it you have the equation y=x/5+2 by adding the x to the right side and dividing everything by 5. Now simply plug in your zeroes in their respective places. For the x intercept, your y value must equal 0 so we have the equation 0=x/5+2. After solving it, x must be -10 in order for our y value to be 0 getting us for the x intercept (-10,0). For the y intercept, your x value must equal zero so you simply subsitute zero in the equation for x which I will do here: y=0/5+2. If our x value is zero, consequently, our y value will be 2 getting us for the y intercept, (0,2).

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$f(x)+f(x+1) \stackrel{1}{=} 3^x+3^{x+1} \stackrel{2}{=} 3^x+3^x\cdot3^1\stackrel{3}{=}3^x+3\cdot3^x\stackrel{4}{=}4\cdot3^x\stackrel{5}{=}4\cdot f(x)

1) Substitution from definition.

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3) We are changing the order of 3 and 3^x.

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r

cos

θ

,

y

=

r

sin

θ

r

=

8

sin

θ

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r

⋅

r

=

r

⋅

8

sin

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or

r

2

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sin

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x

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Step-by-step explanation:

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