If Angle P and Angle Q are supplementary,

Mathematics

1 answer:

Ede4ka [16]2 years ago

3 0

Answer: 313% 79% 3%

Step-by-step explanation:

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The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

Triss [41]

Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

$y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2$

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.

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2 years ago

Chandler's salary used to be $161,280. After changing the amount of time he works, he has begun earning $169,344. By what percen

Tju [1.3M]

Chandlers salary increased by 5 percent, to find this answer you take his new salary and divide it by its old and the decimal is the percentage increase

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Please help me with this!!!!!!!!!!

Nat2105 [25]

It's the bottom one. Miko found the incorrect and checked her work using multipication incorrectly.

This is because the correct way to solve this would to use (5/1) * (3/5) = (15/5) then simplify it to 3/1 or simply 3.

Dividing fractions is simply flipping the second fraction and then multiplying across

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2 years ago

Let f(x)=81+3e−0.7x . What is the value of f(−1) ? Round the answer to the nearest hundredth. Enter your answer in the box.

horrorfan [7]

F(-1)=81+3e-.7(-1)

enter into scientific/ graphing calculator
f(-1)=89.85

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For the given table of values for a polynomial function, where must the zeros of the function lie?

Jet001 [13]

Answer:

A. Between 3.0 and 3.5 and between 4.0 and 4.5

Step-by-step explanation:

The zeroes of a function occur whenever a value of x returns zero. To predict where the zeroes lie, determine the interval(s) where the function crosses the x-axis. This occurs when either $f(x)$ goes from a negative value to a positive value or vice versa.

From $x=3.0$ and $x=3.5$ , the y-values go from 4.0 (positive) to -0.2 (negative), respectively. Therefore, there must be a zero in this interval.

From $x=4.0$ and $x=4.5$ , the y-values go from -0.8 (negative) to 0.1 (positive), respectively. Therefore, there must also be a zero in this interval.

Thus, the zeros of this function occur between 3.0 and 3.5 and between 4.0 and 4.5, leading to answer choice A.

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2 years ago