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TEA [102]
3 years ago
11

Find the product of X^2+x-12/x^2-5x-6 with complete solution

Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

(x²+x-12)(x²-5x-6)= x².x²+ x².(-5x)+x²(-6)+ x.x²+x.(-5x)+x.(-6)

(-12).x²+(-12)(-5x)+(-12)(-6)

= x⁴-5x³-6x²+x³-5x²-6x-12x²+60x+72

=x⁴-4x³-23x²+54x+72

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An item that originally costs $45 was on the clearance aisle for $33.75.
Ede4ka [16]

Answer:

25% off - savings of $11.25

Step-by-step explanation:

To find discount percentage = ((List price - sale price) / List price) * 100

6 0
2 years ago
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If the perimeter of a rhombus is 164 and the length of the longer diagonal is 80, find the length of the shorter diagonal.
AysviL [449]

A rhombus has four equal sides. If the perimeter of this rhombus is 164, then the length of one side is 164/4, or 41.


Draw this rhombus. Label all four sides with "41." Label the longer diagonal 80 and the half length of that diagonal 40. You will see inside the rhombus four congruent triangles with hypotenuse 41, leg 10 and unknown height. Thus, this unknown height is found by solving x^2 + 40^2 = 41^2, and x^2=9, so that the length of the shorter diagonal is 2(2) = 18 (answer).

6 0
3 years ago
By which rule are these triangles congruent?<br> A) AAS <br> B) ASA <br> C) SAS <br> D) SSS
Veronika [31]

Answer:

the answer is c)SAS

Step-by-step explanation:

as the sides are already given and and both angles will be equal as vertically opposite angles (VOA)are always equal.

3 0
3 years ago
The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea
Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

N(A\text{ or B)=N(A)+N(B)-N(A and B)}

N (professors)

\begin{gathered} =6+9 \\ =15 \end{gathered}

N(Male)

\begin{gathered} =6+5 \\ =11 \end{gathered}

N(professors and male)

=6

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}

N(People to choose from)

\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}

Then probablitiy is:

\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}

Then the probability is 10/13

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10 months ago
In each diagram, linek is parallel to line 1, and line t intersects lines k and l.
abruzzese [7]

Answer:

Step-by-step explanation:

A

7 0
2 years ago
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