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Elenna [48]
2 years ago
8

Passes through (−3, 7) and is parallel to y = 4x − 1.

Mathematics
2 answers:
Veseljchak [2.6K]2 years ago
7 0

Answer:

y = 4x + 19

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 = 4x - 1 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes, then

y = 4x + c ← is the partial equation

To find c substitute (- 3, 7) into the partial equation

7 = - 12 + c ⇒ c = 7 + 12 = 19

y = 4x + 19 ← equation of parallel line

Stells [14]2 years ago
4 0

Answer:

<u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>is</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>9</u>

Step-by-step explanation:

slope, m = 4

y = mx + c

consider (-3, 7):

7 = (4 \times  - 3) + c \\ 7 =  - 12 + c \\ c = 19

equation:

y = 4x + 19

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Answer:

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Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

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Let speed of current be X, then

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(40 + x)/24 = (40 – X)/8

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Answer:

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Step-by-step explanation:

We assume you're interested in the convex polygon, so the given vertices are <em>not</em> listed in order around the figure.

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