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valkas [14]
3 years ago
8

the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to li

ne a. Point (0, 5) lines on both line b and line t.​

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer: The equation for line b is y = -\frac{3}{4}x  + 5

The equation for line t is y= \frac{4}{3} x+5

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so  5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"  

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

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3 years ago
Which shows one way to determine the factors of Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?
Nezavi [6.7K]

The factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)

<h3>How to determine the factors?</h3>

The expression is given as:

x^3 + 4x^2 +5x + 20

Group the expression into two

(x^3 + 4x^2) + (5x + 20)

Factorize each group

x^2(x + 4) + 5(x + 4)

Factor out x + 4

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Hence, the factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)

Read more about expressions at:

brainly.com/question/723406

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1 year ago
John made 12 dollars per delivery plus a base pay of 30 dollars. If he made 150 dollars, how
Tasya [4]

Answer:

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3 years ago
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How can expressions be written and evaluated to solve for unknowns in the real world?

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