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xenn [34]
3 years ago
8

X^2-x-12 in (x+p)(x+q) form

Mathematics
2 answers:
SpyIntel [72]3 years ago
7 0

x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)\\\\=(x-4)(x+3)=[x+(-4)](x+3)

DochEvi [55]3 years ago
5 0

X^2-x-12 = (x - 4)(x + 3)

Hope that helps.

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

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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
masya89 [10]

Answer:

40\pi \ m^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

In this problem we have

r=10\ m

Substitute and find the area

A=\pi (10)^{2}=100 \pi\ m^{2}

Remember that

360\° subtends the area of complete circle

so

by proportion

Find the area of the shaded regions

The central angle of the shaded regions is equal to 2*72\°=144\°

\frac{100\pi }{360} \frac{m^{2}}{degrees} =\frac{x }{144} \frac{m^{2}}{degrees} \\ \\x=144*100\pi /360\\ \\ x=40\pi \ m^{2}

6 0
3 years ago
How to turn negative into mixed numbers into improper fractions
masya89 [10]
U turn negative numbers from mixed numbers to improper fractions the same way u do with positive...u just temporarily disregard the negative sign.

Example : 
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4 0
3 years ago
One side of triangle is 4 4 times the shortest side. The third side is 23 23 feet more than the shortest side. The perimeter is
jasenka [17]

Answer:

9, 32 and 36

Step-by-step explanation:

The perimeter of a triangle is the sum of all the sides.  Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:

one side: '4 times the shortest side' = 4s

shortest side: 's'

third side: '23 more than the shortest side' = s + 23

perimeter  = 77

Equation:  4s + s + (s + 23) = 77

Combine like terms:  6s + 23 = 77

Subtract 23 from both sides:  6s + 23 - 23 = 77 - 23 or 6s = 54

Divide by 6:  6s/6 = 54/6 or s = 9

one side: 4s = 4(9) = 36

shortest side: s = 9

third side: s + 23 = 9 + 23 = 32

3 0
3 years ago
Hey, can someone help me with this problem?
Anuta_ua [19.1K]
I’m sorru but there’s nothing there
3 0
3 years ago
3HELP__________________
Brut [27]

Answer:

m∠KIJ = m∠LIM ⇒ answer B

Step-by-step explanation:

* Lets explain how to solve the problem

∵ I is the mid-point of NH

∴ IN = IH

- MJ is perpendicular to NH and passes through I the mid-point of NH

∴ MJ is perpendicular bisector of NH

- NH ⊥ MJ and intersects it at I

∴ m∠NIM = m∠NIJ = 90°

- ∠ NIM consists of two angles ∠NIL and ∠MIL

∵ m∠NIM = m∠NIL + m∠MIL

- ∠NIJ consists of two angles ∠NIK and ∠JIK

∵ m∠NIJ = m∠NIK + m∠JIK

∴ m∠NIL + m∠MIL = m∠NIK + m∠JIK ⇒ (1)

∵ NH bisects ∠KIL

∴ m∠NIL = m∠NIK ⇒ (2)

- From (1) and (2)

∴ m∠MIL = m∠JIK

* m∠KIJ = m∠LIM

7 0
3 years ago
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