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3 years ago

How to find the missing values ?! I never did this.

Mathematics

1 answer:

Semmy [17]3 years ago

8 0

Answer:

(a, b, c) = (2, -6, 2) or (2, 2, -6)

Step-by-step explanation:

Expand the expression on the right and match coefficients, or factor the expression on the left and match factors.

2x³ -8x² -24x = ax(x +b)(x +c)

2x(x² -4x -12) = ax(x +b)(x +c)

2x(x -6)(x +2) = ax(x +b)(x +c)

In this form, we can match the numbers to get ...

a = 2
b = -6
c = 2

You may recognize that b and c can be interchanged.

_____

<em>Alternate solution</em>

If you expand the expression on the right, you get ...

= ax³ +a(b+c)x² +abcx

This gives you 3 equations:

a = 2
2(b +c) = -8
2bc = -24

This is basically the same factoring problem in another form. You have ...

bc = -12

b+c = -4

The factors of -12 are ...

-12 = 1(-12) = 2(-6) = 3(-4) . . . . . . with sums -11, -4, -1

So, b and c are -6 and 2, in no particular order.

(a, b, c) = (2, -6, 2) or (2, 2, -6)

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mamaluj [8]

Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

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Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

Two triangles in sphere that are similar must be congruent.

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3 years ago

I could really use your help , 25 POINTS!!

In-s [12.5K]

since line AB and CD make all right angles (given) angles 6+7+8 will equal 90 degrees.

According to the verticle angles rule:

angle 2 is equal to angle 6

angle 3 is equal to angle 7

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3 years ago

The area of the square is 100 square centimeters. What is its perimeter

alisha [4.7K]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Write the equation of the line that passes through the given point and is parallel to the given line.

romanna [79]

<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>

Answer:

$y = \frac{1}{2} x - \frac{5}{2}$

Step-by-step explanation:

1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.

2) We know that the slope has to be parallel to the given line, $y = \frac{1}{2}x - 8$ . Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be $\frac{1}{2}$ .

3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

$(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}$

Therefore, $y = \frac{1}{2}x - \frac{5}{2}$ is our answer. If you have any questions, please do not hesitate to ask!

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3 years ago

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?

elixir [45]

The first option is correct. See an explanation below.

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3 years ago