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timama [110]
3 years ago
7

Which table represents a linear function?​

Mathematics
2 answers:
Maslowich3 years ago
6 0

Answer:

the third one

Step-by-step explanation:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference

Brilliant_brown [7]3 years ago
4 0
It may be the first one because it seems like the only one with a clear number pattern
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Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
tigry1 [53]

The vector <em>v</em> (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling <em>v</em> by an arbitrary real number <em>t</em>.

The line through point <em>P</em> and pointing in the same direction as <em>v</em> is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector <em>p</em> that points to (-4, 5, 2), so the vector equation for this line is

<em>r </em>(<em>t </em>) = <em>p</em> + <em>t v</em>

<em>r </em>(<em>t </em>) = (-4, 5, 2) + <em>t</em> (-6, 6, -5)

<em>r </em>(<em>t </em>) = (-4 - 6<em>t</em>, 5 + 6<em>t</em>, 2 - 5<em>t</em> )

To get the parametric equations, simply take out the components:

<em>x</em> (<em>t</em> ) = -4 - 6<em>t</em>

<em>y </em>(<em>t</em> ) = 5 + 6<em>t</em>

<em>z</em> (<em>t</em> ) = 2 - 5<em>t</em>

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3 years ago
Select the solutions to the following inequality: |x| &lt; 7
Rasek [7]
|x| < 7
means x < 7 and x > -7

answer is -7 < x < 7
4 0
3 years ago
If the measure of arc XY plus the measure of a arc YZX equals 360 and the arcs dont overlapp then what do the arcs form?
gavmur [86]

Check the picture below.

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3 years ago
A triangular garden is being formed with stones. The three sides measure 4 meters by 6 meters by 7 meters. Which of the followin
ehidna [41]
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3 years ago
What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?
lianna [129]

Answer:

y = \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

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3 years ago
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