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Anastaziya [24]
3 years ago
14

I need help solving these!!!!​

Mathematics
1 answer:
densk [106]3 years ago
5 0

Answer:

4. y = -1/2x + 5

5. y = -1/3x + 3

6. y = 1

Step-by-step explanation:

<u>For #4:</u>

Because these lines are parallel, we know that they will have the same slope.

To get <em>b</em>, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/

<u>For #5:</u>

These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.

The reciprocal of 3 is -1/3.

To get the y-intercept, I did the same as above.

<u>For #6:</u>

x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that <em>intersects</em> with it at 90°, the answer line will have to be horizontal.

That means that our answer is y = ?

We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.

So, y = 1.

I hope this helps!

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Two quadratic functions are shown.
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Answer: the function that has the smaller minimum is g(x), and the cordinates are (0,3)

Step-by-step explanation:

We have a function for f(x) and a table for g(x)

first, quadratic functions are symmetrical.

This means that if the minimum/maximum is located at x = x0, we will have that:

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For any real value of A.

Then when we look at the table, we can see that:

g(-1) = 7

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then the minimum of g(x) must be at x = 0, and we can see that the minimum value of g(x) is 3.

Now let's analyze f(x).

When we have a quadratic equation of the shape.

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In our function we have:

a = 3

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then the minimum is at:

X = -6/2*3 = -1

f(-1) = 3*(-1)^2 + 6*-1 + 7 = 3 - 6 + 7 = 3 + 1 = 4

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7 0
4 years ago
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photoshop1234 [79]

Answer:

60 g

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume

Plug in the volume and density, then solve for the mass:

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So, the mass is 60 g

7 0
4 years ago
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Anit [1.1K]

Hey there!!

Remember - i = √-1

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4 0
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