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3 years ago

Solve the following system of equations graphically on the set of axes below. Y=-1/2x +1 and y=x-5

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

Answer:

-1/2x+1=x-5

x=4

y=-4/2+1

y=-2+1

y=-1

(x,y)=(4,-1)

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What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

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2 years ago

I need help I can't figure out how to do this. I have to find the value of v. 4/5(v−7)=2

Nina [5.8K]

9.5 because 9.5-7 is 2.5. 2.5 times 4/5 is 10/5 which is equivalent to 2. 4/5(2.5-7)=2

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3 years ago

I honestly don’t understand this ::))

GrogVix [38]

Answer:

Answer is 100 sq m

Step-by-step explanation:

A = $a^{2}$

A = $10^{2}$

A = 100 sq m

HOPE IT HELPS

<u><em>(FROM CROSS)</em></u>

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3 years ago

Evaluate 17s^2 + 32s +180

dezoksy [38]

Answer: 66s + 180

How:

17 s ^ { 1 } 2 + 32 s + 180
Calculate s to the power of 1 and get s.

17s\times 2+32s+180
Multiply 17 and 2 to get 34.

34s+32s+180
Combine 34s and 32s to get 66s.

Final answer should be 66s + 180

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2 years ago

What is the unit rate of $46 for 5 toys

natita [175]

$46 divided by 5 which equals $9.50

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