3 years ago

What is the slope of the graph shown below?

Mathematics

1 answer:

Alecsey [184]3 years ago

8 0

The slope is 4/3x.

Since the y-intercept is (0,-3), you go up and see that the next point is (1,1).

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Michael is using a number line to evaluate the expression –8 – 3.

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Step-by-step explanation:

-8 - 3 = -8 + (-3)

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Where does the line through (1, 0, 1) and (4, −3, 3) intersect the plane x + y + z = 6?

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Parametrically for real t the line is

$(x,y,z) = (1-t)(1,0,1) + t(4,-3,3)$

$(x,y,z) = (1,0,1) + t(4-1,-3-0,3-1)$

$(x,y,z) = (1,0,1) + t(3,-3,2)$

That's three equations; we substitute into

$x+y+z=6$

$(1+3t)+(0-3t) + ( 1+2t)=6$

$2t=4$

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3 years ago

7 5/6 - 3 1/12 what does this equal as a fraction in simplest form

KengaRu [80]

For this case we convert the mixed numbers into fractions:

$7 \frac {5} {6} = \frac {6 * 7 + 5} {6} = \frac {42 + 5} {6} = \frac {47} {6}\\3 \frac {1} {12} = \frac {12 * 3 + 1} {12} = \frac {36 + 1} {12} = \frac {37} {12}$

Rewriting the expression:

$\frac {47} {6} - \frac {37} {12} =\\\frac {12 * 47-6 * 37} {6 * 12} =\\\frac {564-222} {72} =\\\frac {342} {72} =$

We simplify:

$\frac {171} {36} =\\\frac {57} {12} =\\\frac {19} {4}$

Thus, the simplified form is: $\frac {19} {4}$

Answer:

$\frac {19} {4}$

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3 years ago