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3 years ago

Find the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2

Mathematics

1 answer:

m_a_m_a [10]3 years ago

7 0

Answer:

y=3x-10

Step-by-step explanation:

When you have to find a parallel line, you take the slope of the other line, so we already know y=3x+b. Then, plug in 2 and -4 as your x and y values and you get -4=3(2)+b. Then solve 3×2=6, so -4=6+b, subtract 6 from both sides, -10=b.

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3 years ago

Joe runs 8.25 times around a track in 1,119.803 seconds. If one lap around the track is 402.3 meters, which is the best estimate

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3 years ago

The length and width of a rectangle are measured as 31 cm and 28 cm, respectively, with an error in measurement of at most 0.1 c

MissTica

Answer:

$\Delta A = 5.9\,cm^{2}$

Step-by-step explanation:

The area of an rectangle is given by the following formula:

$A = w\cdot h$

Where:

$w$ - Width, in centimeters.

$h$ - Height, in centimeters.

The differential of the expression is derived hereafter:

$\Delta A = \frac{\partial A}{\partial w} \cdot \Delta w + \frac{\partial A}{\partial h}\cdot \Delta h$

$\Delta A = h \cdot \Delta w + w \cdot \Delta h$

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3 years ago

Find all values of k so that the following system has no solutions x²+(y-k)²=36 ; y=5x+k.Illustrate with a graph.

musickatia [10]

Step-by-step explanation:

$x^2+(y-k)^2=36$

$y=5x+k$

Substituting y in the first equation

$x^2+(5x+k-k)^2=36\\\Rightarrow x^2+25x^2=36\\\Rightarrow 26x^2=36\\\Rightarrow x^2=\frac{36}{26}\\\Rightarrow x=\sqrt{\frac{36}{26}}\\\Rightarrow x=\pm 1.17$

At x = 1.17

$y=5\times 1.17+k\\\Rightarrow y=5.85+k$

At x = -1.17

$y=5\times -1.17+k\\\Rightarrow y=-5.85+k$

The intersection points are (1.17, 5.85k) and (-1.17, -5.85k)

The graph would intersect regardless of what value k is.

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3 years ago