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kicyunya [14]
3 years ago
9

Convert y − 3 = 1/3(x − 6) to standard form.

Mathematics
1 answer:
qaws [65]3 years ago
7 0

The equation of a straight line in "standard form" resembles Ax + By + C = 0.

Starting with y − 3 = 1/3(x − 6) (which is the equation of a line in point-slope form), remove the fractional coefficient 1/3 by multiplying both sides of this equation by 3:

3y - 9 = x - 6.

We want all terms except for 0 to appear on one side of this equation. Subtract 3y from both sides, obtaining:

-9 = 1x - 3y - 6

Finally, add 9 to both sides, obtaining:

0 = 1x - 3y + 3

This result has the form Ax + By + C = 0, and is thus in standard form.

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A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq . By h
julia-pushkina [17]
Well to get the area of 288 the dimensions would be a couple of things but 16 ft by 18 ft seems to work, so the dimensions increase by 4 ft on each side.

12+4=16
14+4=18

18*16=288
6 0
3 years ago
Read 2 more answers
Can you help me with this please. Please show your work. Thx in advance
pentagon [3]
That is correct I think it is
4 0
3 years ago
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While testing a new pesticide, an agricultural scientist uses two functions to predict the yields of two same-sized potato farms
Pepsi [2]

Answer:

A. h(x)= -5.86x^2 + 23.37x + 34

Step-by-step explanation:

If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.

Then, the combined yield h(x) of the two farms is just the yield of the first farm plus the yield of the second farm:

h(x)=f(x)+g(x).

Now, since

f(x)= -2.43x^2+10.37x+9

and

g(x)= -3.43x^2+13x+25,

then

h(x)= (-2.43x^2+10.37x+9)+(-3.43x^2+13x+25)

we add the coefficients of the  corresponding terms to get:

h(x)= (-2.43x^2-3.43x^2)+(10.37x+13x)+(9+25)

\boxed {h(x)=-5.86 x^2 + 23.37 x + 34.}

Which is choice A.

4 0
3 years ago
4) Benny got fast food for lunch. Benny paid $2.71 on soup and $4.03 on a hamburger with a
Yuliya22 [10]
Benny got $3.26 back from his purchase
6 0
3 years ago
Use the diagram of the right triangle above and round your answer to the nearest hundredth.
Yakvenalex [24]
Answer: a = 23 ft.

Reasoning:

The question asks for the value of the leg a, given the tangent of the opposite angle and the length of the adjacent-leg, b.

The ratio that relates the three parameters is:

tan(A) = opposite-leg / adjacent-leg = a / b = a / 23 ft

Solve for a, wich is the unknown:

a = 23ft * tan(A) = 23ft * 1.0 = 23 ft

Answer: 23 ft.
7 0
3 years ago
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