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motikmotik
3 years ago
14

I need a urgent answer and explanation to this question​

Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

7) y = - \frac{5}{3}x

8) y = \frac{1}{2}(3x - 1)

Step-by-step explanation:

7) The equation of the straight line passing through the ordered pair (-3,5) and (3,-5) is given by

\frac{y - 5}{5 - (- 5)} = \frac{x - (- 3)}{- 3 - 3}

⇒ -3(y - 5) = 5(x + 3)

⇒ -3y + 15 = 5x + 15

⇒ 5x + 3y = 0

⇒ y = - \frac{5}{3}x (Answer)

8) The equation of the straight line passing through the ordered pair (5,7) and (11,16) is given by

\frac{y - 7}{7 - 16} = \frac{x - 5}{5 - 11}

⇒ 2(y - 7) = 3(x - 5)

⇒ 2y - 14 = 3x - 15

⇒ 3x - 2y - 1 = 0

⇒ y = \frac{1}{2}(3x - 1) (Answer)

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-0.2x^2+0.9x+0.6=y<br>What's the vertex form for this equation?​
hjlf

Answer:   y = -0.2(x - 2.25)² + 1.6125

<u>Step-by-step explanation:</u>

y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125

6 0
3 years ago
Solve whether the equation have 1 solution no solution or infinity solution
babymother [125]
Steps to solving equations:
Simplify/combine the like terms
Isolate the variable (Get the variable on one side
Solve for the variable

-2y - 7 + 5y = 13 - 2y Simplify/Combine terms
3y -7 = 13 - 2y Isolate variable by adding 2y to both sides
5y - 7 = 13 Add 7 to both sides to get y alone on one side
5y = 20 Divide by 5 on both sides to solve for y
y = 4
You can check your answer by replacing y with 4 in the original equation.
5 0
3 years ago
Read 2 more answers
Zelma buys p pounds of bananas for $0.40 per pound she pays the clerk with a $20 bill the clerk subtract the total cost of the b
Sloan [31]
You didnt include the (presumably) multiple choice answers. My guess is that the answer would be along the lines of: 20 - (P times .40)
7 0
3 years ago
Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="
QveST [7]

Answer: (6\sqrt{5})i

This is the same as saying 6i\sqrt{5}

====================================================

Work Shown:

\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\

where i = \sqrt{-1}

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the root.

The parenthesis used at the very end is to help separate the 6\sqrt{5} from the i term. The "i" is not under the square root.

4 0
3 years ago
Mona has 160 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed are
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see topper. com

Step-by-step explanation:

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5 0
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