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tigry1 [53]
3 years ago
8

Find the solution by graphing or from the graph y=x2-2x-8 how do you do this?

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

-2 and 4

Step-by-step explanation:

Graph it using a graphing calculator.  The solutions are the points where the graph crosses the x-axis.

I attached a photo of the graph, you can see that the graph crosses the x-axis at points -2 and 4

These are the solutions!

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A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag
Sveta_85 [38]

Answer:

\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s

where B stands for Base area

and P for Base Parimeter

so

\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s

now we need our algebraic skills to figure out s

simplify parentheses:

\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144

reduce fraction:

\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32}  \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144

simplify multiplication:

\displaystyle \: 16s + 64 = 144

cancel 64 from both sides;

\displaystyle \: 16s = 80

divide both sides by 16:

\displaystyle \: \therefore \: s = 5

now we'll use Pythagoras theorem to figure out height

according to the theorem

\displaystyle \:  {h}^{2}  +  (\frac{l}{2} {)}^{2}  =  {s}^{2}

substitute the value of l and s:

\displaystyle \:  {h}^{2}  +  (\frac{8}{2} {)}^{2}  =  {5}^{2}

simplify parentheses:

\displaystyle \:  {h}^{2}  +  (4 {)}^{2}  =  {5}^{2}

simplify squares:

\displaystyle \:  {h}^{2}  +  16  =  25

cancel 16 from both sides:

\displaystyle \:  {h}^{2}   =  9

square root both sides:

\displaystyle \:   \therefore \: {h}^{}   =  3

recall the formula of a square pyramid

\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h

where A stands for Base area (l²)

substitute the value of h and l:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  \{8 \times 8 \}\times 3

simplify multiplication:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  64\times 3

reduce fraction:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times  64\times \cancel{ \:  3}

hence,

\sf\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

8 0
2 years ago
I need help this is so confusing
Gre4nikov [31]
Point c is quadrant 2,point T is quadrant 1,point R is x axis , point h is quadrant 3
5 0
2 years ago
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V+6=92 solve for v
inysia [295]

Answer:

v = 86

Step-by-step explanation:

v + 6 = 92

v + 6 = 92

   -6      -6

v = 86

3 0
3 years ago
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A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?
Dmitry [639]

Answer:

The correct answer is option A.  90°

Step-by-step explanation:

<u>Points to remember</u>

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes  on it.

<u>To find the measure of <XYZ</u>

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

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3 years ago
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HELP PLEASE!!! Angle A is circumscribed about circle O, what is the measure of angle D??
viktelen [127]

Answer:

50 exactly 50

Step-by-step explanation:

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