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3 years ago

What number should be added to both sides of the equation to complete the square? x2 – 10x = 7

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer:

Step-by-step explanation:

Use the formula( b/2)^2 in order to create a new term. Solve for x by using this term to complete the square.

x = ± 4 √ 2 + 5

Decimal form x = 10.65685424, -0.65685424

I'm just answering this cause also need mine answered

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Which linear equation includes the points (6,0) and (0, – 4)?

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Answer:

y= (2/3)x - 4

Step-by-step explanation:

To answer this you'll want to use the slope intercept form of a line:

y= mx + b

So to solve essentially you just have to find the values for m and b

- m represents the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

You can figure that b = -4 because the line will cross the y-axis when x = 0, and you are given the point on the line (0,-4), where x is equal to 0.

Now to find the slope of the line, since you are given two points on the line you will want to use the slope equation:

slope = $\frac{y1-y2}{x1-x2}$

So you can assign each of the two points a number (1 or 2) where its values are equal to (x1, y1) or (x2, y2). It does not matter which point gets which number.

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We will assign the point (6,0) to be (x1, y1),

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So we end up with the following:

m= $\frac{0- (-4)}{6-0}$

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m= $\frac{0+4}{6}$

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m= $\frac{4}{6}$

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Suppose the chemist uses x mL of the 8% acid solution, and y mL of the 5% solution.

The chemist wants to end up with a 500 mL solution, so

x + y = 500

and wants this solution to have a concentration of 6.8% acid. This means 6.8% of this volume should be acid. By volume, the 8% solution contributes 0.08x mL of acid, and the 5% solution contributes 0.05y mL, so

0.08x + 0.05y = 0.068(x + y) = 0.068 * 500 = 34

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y = 500 - x

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