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Gnom [1K]
4 years ago
6

Write the equation of the line that passes through the points (-9, -3) and (-7,7).

Mathematics
1 answer:
tiny-mole [99]4 years ago
6 0

Answer:

y=5x+42

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-3))/(-7-(-9))

m=(7+3)/(-7+9)

m=10/2

m=5

y-y1=m(x-x1)

y-(-3)=5(x-(-9))

y+3=5(x+9)

y=5x+45-3

y=5x+42

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The sum of two consecutive numbers is -165. Find the value of the smaller number.
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-83

Step-by-step explanation:

x+(x+1)=number

x+(x+1)=-165

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4 years ago
What is the vertex of g(x) = 3x2 − 12x + 7?
Olin [163]

\mathbf{Task.} ~ \mathrm{What~is~the~vertex~of}~ g(x) = 3x^{2} - 12x + 7?

\mathrm{Function~of~the~form} ~ f(x) = ax^{2} + bx + c, ~ a \neq 0, ~ \mathrm{is~ called~a~quadratic~function.}\\\mathrm{The~top} ~ (x_{0}; \ y_{0}) ~ \mathrm{of~this~function~can~be~found~by~the~formulas \colon}

x_{0} = \dfrac{-b}{2a};

y_{0} = ax_{0}^{2} + bx_{0} + c ~ \mathrm{or} ~ y_{0} = -\dfrac{b^{2} - 4ac}{4a}.

\mathrm{So,~for~the~function} ~ g(x) = 3x^{2} - 12x + 7 ~ \mathrm{we~have \colon}

x_{0} = \dfrac{-(-12)}{2 \cdot 3} = \dfrac{12}{6} = 2;

y_{0} = 3 \cdot 2^{2} - 12 \cdot 2 + 7 = -5.

Answer \colon  (2; \ -5) \ \blacktriangle

7 0
4 years ago
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