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marishachu [46]
3 years ago
13

Write the equation of a line that passes through (-2,6) and 1,-6)

Mathematics
2 answers:
Firlakuza [10]3 years ago
6 0
Find slope first
(-6-6)/(1+2) = -12/3 = -4
Format: y = -4x + b
Plug in one point
6 = -4(-2) + b
6 = 8 + b, b = -2
Answer: y = -4x - 2
mote1985 [20]3 years ago
3 0

Answer: y=−2−4x

Check: Put 1,6 in the equation, -6 = -2-4(1). After solving, you get -6 (Check) So this equation is correct. Stay safe, and Happy Holidays!

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lyudmila [28]

Answer:

11 X 34 then divide that by two which is 187

Step-by-step explanation:

4 0
3 years ago
Duc has a trapezoid shaped section of his yard fenced off for his pets. The lengths of the parallel sides of the trapezoid are 8
noname [10]
Area of the trapezoid = 1/2(B+b)h
where
B= length of the longer side of the trapezoid which is equal to 14 ft
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5 0
3 years ago
Read 2 more answers
Solve the following ODE's: c) y* - 9y' + 18y = t^2
Nastasia [14]

Answer:

y = C_1e^{3t}+C_2e^{6t} + \dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = C_1e^{3t}+C_2e^{6t}

now calculating P.I.

P.I. = \frac{t^2}{D^2 - 9D +18}

P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

hence the complete solution

y = C.F. + P.I.

y = C_1e^{3t}+C_2e^{6t} + \dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

7 0
2 years ago
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m_a_m_a [10]
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3 years ago
a house has decreased in value by 33% since it was purchased. If the current value is $268,000, what was the value when it was p
Dafna1 [17]

Answer:

around 179,560

Step-by-step explanation:

you do the total times .33 and then with that number subtract 268,000 which should give you 179,560

7 0
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