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Morgarella [4.7K]
3 years ago
9

Can you please factor x^2-2x-31?

Mathematics
1 answer:
algol [13]3 years ago
8 0
Multiply the coefficient of the first term by the constant 1 • -31 = -31

Find two factors of -31 whose sum equals the coefficient of the middle term, which is -2 .

-31 + 1 = -30
-1 + 31 = 30

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
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Which of the graphed systems share the same solution set?
timurjin [86]
The third graphic system shares the same set of solutions.
 Notice that the first graph is two parallel lines that never cut.
 The second graph has two lines that intersect at a point. Therefore, compare a single solution.
 The third graph shares the whole set of solutions since, for each x, both lines take the same Y value
 answer
 Third graphic.
5 0
4 years ago
Read 2 more answers
2 – 2y = 16
nekit [7.7K]

Answer:

Y = -7 and the equation would be 2 - (2 x -7) = 16

Step-by-step explanan

3 0
3 years ago
Please help me on this question (answer all parts please)
ozzi

SOLUTION:

Case: Volume of Sphere

Method:

a) The volume of a sphere whose diameter, d= 28in

The radius,

r= 28/2

r= 14 in

The Volume, therefore:

\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\pi\times14\times14\times14 \\ V=11494.04\text{ }cubic\text{ }inches \end{gathered}

b) When half of the volume is used,

\begin{gathered} V=\frac{1}{2}V_0 \\ V=\frac{1}{2}\times11494.04 \\ V=5747.02\text{ }cubic\text{ }inches \end{gathered}

c) The radius of the halved volume

\begin{gathered} V=\frac{4}{3}\pi r^3 \\ 5747.02=\frac{4}{3}\pi r^3 \\ r^3=\frac{3\times5747.02}{4\pi} \\ r^3=1372 \\ r=\sqrt[3]{1372} \\ r=11.11\text{ }inches \end{gathered}

Final answer: (To 2 d.p)

a) 11494.04 cubic inches

b) 5747.02 cubic inches

c) 11.11 inches

5 0
2 years ago
The Artisan Pizza Co sells take-out pizza in two shapes: an "individual" 6-in.square slice and a circular
kolbaska11 [484]

Answer:

One sector of the party wheel

Step-by-step explanation:

#Determine the areas of the two different shapes to validate.

-For the square pizza:

A=s\times s\\\\=6\times 6\\\\=36\  in^2

-For the a sixth slice of a circular pizza:

A=\frac{1}{6}\pi r^2\\\\=\frac{1}{6}\pi \times (18/2)^2\\\\=42.41 \ in^2

#We then compare the two calculated areas to determine which is larger.

42.41>36, hence, the one sector of the party wheel is larger.

8 0
3 years ago
The circumference of a circle is 12 cm. What is the circle's area?
timama [110]

the answer should be 11.4575 cm

3 0
3 years ago
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