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Korvikt [17]
3 years ago
5

Write a equation in standard form that contains a slope of 3 and contains (1,6)

Mathematics
1 answer:
jeka943 years ago
5 0

bearing in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{6}) ~\hspace{10em} \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{3}(x-\stackrel{x_1}{1})\implies y - 6 = 3x-3 \\\\\\ y=3x+3\implies -3x+y=3\implies \stackrel{\textit{standard form}}{3x-y=-3}

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How many integers between 199 and 599 are multiple of 3
Reptile [31]
A.P. series would be: 201, 204, 207 .... 597
Here, a = 201, d = 3, l = 597

Now, l = a + (n - 1) d
597 = 201 + (n - 1)3
597 - 201 = 3n - 3
396 + 3 = 3n
n = 399/3
n = 133

In short, Your Answer would be 133

Hope this helps!

8 0
3 years ago
Read 2 more answers
Classify ABC by its sides. Then determine whether it is a right triangle.
m_a_m_a [10]

Answer:

∴Given Δ ABC is not a right-angle triangle

a= AB = √45 = 3√5

b = BC = 12

c = AC = √45 = 3√5

Step-by-step explanation:

Given vertices are A(3,3) and B(6,9)

            AB = \sqrt{x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}  }

            AB = \sqrt{(9-3)^{2}+(6-3)^{2}  } = \sqrt{6^{2}+3^{2}  } =\sqrt{45}

Given vertices are  B(6,9) and C( 6,-3)

       B C = \sqrt{x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}  }

             =  \sqrt{(-3-9)^{2}+(6-6)^{2}  } =\sqrt{12^{2} } = 12

    BC = 12

Given vertices are  A(3,3) and C( 6,-3)

 AC = \sqrt{(6-3)^{2}+(-3-3)^{2}  } = \sqrt{9+36} = \sqrt{45}

AC² = AB²+BC²

45  = 45+144

 45  ≠ 189

∴Given Δ ABC is not a right angle triangle

 

5 0
2 years ago
To find out how many rabbits were in a park students tagged 10 rabbits. They later came back to the park and counted 200 total r
worty [1.4K]

Answer:

400

Step-by-step explanation:

The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms, This method is called the Lincoln-Peterson Index of population size.

6 0
3 years ago
(3x2-10x+4)+(10x-5x+8)
Luba_88 [7]

Answer:

13x^2 - 15x + 12

Step-by-step explanation:

Add like terms.

3x^2 + 10x^2 = 13x^2

-10x + -5x = -15x

4 + 8 = 12

8 0
3 years ago
What is x over 2+ 4<7
N76 [4]
 x/2 + 4 < 7

multiply both sides by 2
x/2 * 2 + 4 * 2 < 7 * 2
which equals
x + 8 < 14
subtract 8 from both sides
x + 8 - 8 < 14 - 8
x < 6

4 0
2 years ago
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