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3 years ago

Which of the following is a solution of x2 + 2x + 8?

Mathematics

1 answer:

zubka84 [21]3 years ago

4 0

Using the quadratic equation we get:
$\frac{ - 2 + - \sqrt{4 - 32} }{2} = \frac{ - 2 + - \sqrt{ - 28} }{2}$

Factoring out 2 we get
$\frac{ - 2 + - 2\sqrt{ - 7} }{2} = - 1( + - ) \sqrt{ - 7}$
Factoring out the imaginary number:
$- 1 + \sqrt{7} i \: (and) \: - 1 - \sqrt{7} i$
So b.

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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he

Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

$\theta = \frac{360\°}{16}=22.5\°$

Where all sectors have equal area.

Now, the area of the whole circle is $12.25 \pi \ cm^{2}$ , if we use the formula of its area, we'll find the radius of the circle

$A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5$

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

$cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43$

Therefore, the height is 3.43 centimeters, approximately.

6 0

3 years ago

Can you explain how a table can be used to find the rate of change

serg [7]

A table will generally give you an output value for each of several input values. To find the average rate of change over some range of inputs, divide the difference between output values by the difference between input values for the corresponding inputs.

For example, consider the table

input .... output

.. 1 ............ 3

.. 3 ........... -5

The average rate of change between these input values is

... (change in output)/(change in input) = (-5 -3)/(3 - 1) = -8/2 = -4.

6 0

3 years ago

Glven the line segment RT, with endpolnt R(6,9) and<br> midpoint A(-3,7)

Rzqust [24]

It would be (-12, 5)

7 0

3 years ago

Line GJ is tangent to point A at point G.<br><br> If AG = 9 and GJ = 12, find AJ.

svlad2 [7]

Okay we know that tangent-chords creat 90 degree angles so what we have is a right triangle with a base of 9 and a height of 12, so do Pythoagoreas Theorem and we have 81+144=225 square root of 225 is 15 and that is AJ

8 0

4 years ago

Read 2 more answers

Consider the inequality 4x – 3 ≥ 13. Select four x-values that make the inequality true.

Neporo4naja [7]

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

4x-3≥13 We are going to be simplifying

Step 2

4x-3≥13 Add 3 to the sides

4x≥16

Step 3

4x≥16 Divide them sides by 4

x≥4

So therefore your answer is x≥4

Hope this helps

3 0

3 years ago