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2 years ago

For what value of k will the points of simultaneous equations have no solution?

Mathematics

1 answer:

RSB [31]2 years ago

3 0

Answer:

k = -4.

Step-by-step explanation:

k = -4 because that would produce the system:

y = -4x - 7

y = -4x + 2

y cannot have 2 different values at the same time.

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Find the value of x. A.20 B.25 C.18.75 D.22.5

miss Akunina [59]

The two equations are vertical angle, which would be equal to each other.

Set the equations to equal and solve for x:

5x -10 = 3x +40

Subtract 3x from both sides:

2x -10 = 40

Add 10 to both sides:

2x = 50

Divide both sides by 2:

x = 50 / 2

x = 25

The answer is B. 25

7 0

2 years ago

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MATH HELP

elena-s [515]

The equation of line perpendicular to given line is:

$y = \frac{2}{3}x-1$

Step-by-step explanation:

Given equation is:

$3x+2y = -8$

First of all, we have to find the slope of the given line

So,

$3x+2y = -8\\2y = -3x-8\\$

Dividing both sides by 2

$\frac{2y}{2} = \frac{-3x-8}{2}\\y = \frac{-3x}{2} - \frac{8}{2}\\y =-\frac{3}{2}x-4$

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

$m_1 = -\frac{3}{2}$

As we know that product of slopes of two perpendicular lines is -1

Let m-2 be the slope of line perpendicular to given line

$m_1.m_2 = -1\\-\frac{3}{2} . m_2 = -1\\m_2 = -1 * -\frac{2}{3}\\m_2 = \frac{2}{3}$

Slope-intercept form is:

$y = m_2x+b$

putting the value of the slope

$y = \frac{2}{3}x+b$

Putting the point (3,1) in the equation

$1 = \frac{2}{3}(3) +b\\1 = 2 + b\\b = 1-2\\b = -1$

Putting the value of b

$y = \frac{2}{3}x-1$

Hence,

The equation of line perpendicular to given line is:

$y = \frac{2}{3}x-1$

Keywords: Slope-intercept form, slope

Learn more about equation of line at:

#LearnwithBrainly

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2 years ago

In the metric system, multiplying by 1000 would be the same as moving the decimal point _____ place(s) to the right.

hodyreva [135]

It would be the same as moving the decimal three to the right, and that applies to everything, not just the metric system.

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2 years ago

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the yeastie boys new album bread and the bank goes on sale next week they autographed 85% of 2000 copies before they were packag

kupik [55]

0.85 x 2000 = 1700 copies

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2 years ago

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PLEWSE HELP ME WITH THIS!!!!!!

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Current coordinate of R : ( 1,5 )

Applying translation with rule (x,y) --> (x+1 , y-1)

Coordinate after translation ( 1 , 5 ) ==> ( 1 + 1 , 5 - 1 ) ==> ( 2 , 4 )

applying dilation with scale factor of 3 , to apply dilation multiply x and y values by scale factor which is 3

Coordinate after dilation ( 2 , 4 ) ==> ( 2 × 3 , 4 × 3 ) ==> ( 6 , 12 )

The final coordinate is ( 6 , 12 )

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1 year ago