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3 years ago

Find the vertex and focus of the parabola. x2 + 6x – 8y + 1 = 0

Mathematics

2 answers:

Mariana [72]3 years ago

7 0

Answer:

Focus. -3,1

Step-by-step explanation:

Serggg [28]3 years ago

7 0

Answer:

Step-by-step explanation:

Vertex: -3, -1

Focus: -3, 1

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Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*

nasty-shy [4]

Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% $\cdot35$ .

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, $\frac{5}{100}$ . Multiplying by 35 gets us $\frac{5}{100}\cdot35$

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is $\frac{5}{100}$ . This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.05

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us $0.05\cdot35$ , so choice D works too.

Hope this helped!

3 0

3 years ago

Read 2 more answers

I need help with this question

Dimas [21]

Answer:

Step-by-step explanation:

10+18+25+27+35+50=165

n=6

mean =165/6=27.5

x x- mean (x-mean)²

10 -17.5 306.25

18 -9.5 90.25

25 -2.5 6.25

27 -0.5 0.25

35 7.5 56.25

50 22.5 506.25

_____ ________

sum 0 965.5

_____ _________

standard deviation

$=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896$

4 0

2 years ago

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$