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3 years ago

Find the zeros of the following equation by completing the square. x^2+8x-2=0

Mathematics

1 answer:

umka21 [38]3 years ago

7 0

Answer:

x = -4 + 3√2 and x = -4 - 3√2

Step-by-step explanation:

Complete the square of x^2+8x-2=0:

Between 8x and -2, write in 4^2 - 4^2, so that we now have:

x^2 + 8x + 16 - 16 - 2 = 0, or by writing x^2 + 8x + 16 as the square of a binomial, (x + 4)^2 = 18

Taking the square root of both sides, we get:

x + 4 = √18 = ±√9√2, or ±3√2

Then x = -4 + 3√2 and x = -4 - 3√2

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100% is 19 of what number?

nikitadnepr [17]

Answer:

Step-by-step explanation:

7 0

4 years ago

What is the 1oth term of this sequence <br> 0.75,1.5,3,6,12

aleksandr82 [10.1K]

Seems to be a geometric sequence which is found by
$a_{n}=a_{1}(r)^{n-1}$

an=nth term
a1=first term
r=common ratio

first term is 0.75
it doubles each time so common ratio is 2

$a_{n}=0.75(2)^{n-1}$
to find the nth term, input n and evaluate
example
to find the 20th term
$a_{50}=0.75(2)^{20-1}$
$a_{50}=0.75(2)^{19}$
$a_{50}=0.75(1048576)$
$a_{50}=786432$

just to find the kth term, input k for n in
$a_{n}=a_{1}(r)^{n-1}$

6 0

3 years ago

Read 2 more answers

Which one of the properties described below DOES NOT apply to the perpendicular bisector of a segment?

Lana71 [14]

Answer:

It must be longer than the original segment.

Step-by-step explanation:

Let analyse all the 4 answers:

a. It divides the original segment into two equal pieces.

Yes because It finds the midpoint of the given line segment.

b. Every point on the perpendicular bisector is the same distance from both end points of the segment.

Yes, because perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's both endpoints.

c. It must be longer than the original segment

Wrong, it can be shorter or equal to the original segment.

d. It is perpendicular to (makes a 90 angle with) the original segment

True, because of it is one of the the properties of a perpendicular bisector of a segment

So we choose C.

Hope it will find you well.

7 0

3 years ago

Altitudes $\overline{ax}$ and $\overline{by}$ of acute triangle $abc$ intersect at $h$. if $\angle ahb = 132^\circ$, then what i

Sergio [31]

Answer: 48 degrees

-------------------------------------------------------

See the attached image for a visual of the problem and answer.

Based on the diagram, we have angle AHB = 132 degrees (given) equal in measure to angle XHY since these two angles are vertical angles.

Angles HYC and HXC are right angles due to the nature of AX and BY being altitudes. Recall that altitudes are segments that go from one vertex to the opposite side and they are perpendicular to the opposite side.

Focus on quadrilateral HXCY. So far, we know that...
Angle XHY = 132 degrees
Angle HYC = 90 degrees
Angle HXC = 90 degrees

The angle we want to find is angle ACB, which is the same as angle YCX. This angle is the missing angle of the quadrilateral HXCY.

For any quadrilateral, the four angles must add to 360 degrees.

(angle XHY) + (angle HYC) + (angle HXC) + (angle YCX) = 360
(132) + (90) + (90) + (angle YCX) = 360
312 + (angle YCX) = 360
312 + (angle YCX) - 312 = 360 - 312
angle YCX = 48 degrees

Since angle ACB is the same as angle YCX, we can say
angle ACB = angle YCX = 48 degrees

So in summary,
angle ACB = 48 degrees

4 0

4 years ago

How many minutes are in 4 hours?

scoundrel [369]

If you would like to know how many minutes are in 4 hours, you can calculate this using the following steps:

1 hour = 60 minutes
4 hours = 4 * 60 minutes = 240 minutes

Result: 240 minutes are in 4 hours.

6 0

3 years ago

Read 2 more answers