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emmainna [20.7K]
3 years ago
15

A rectangle's area is given by the expression 6n2-n+

Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Answer:

Length of rectangle:    2n - (1/3)  + 9/(3n)

Width of rectangle =  3n

Rectangle area  = A = 6 n^2  - n + 9

Step-by-step explanation:

Rectangle area  = A = 6 n^2  - n + 9

test what the roots are:    b^2 - 4ac  = (-1)^2 - 4*6*9 < 0  no real roots

-215 < 0  discriminant

(6 n^2  - n + 9)  / (3n) =

2n  -  (1/3)  +  9/(3n)

If the area is divided by 3n,  the quotient is  2n - (1/3) and the remainder is 9

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It’s the same distance from the second base to the first base from the second base to third-base the angle formed by the first b
Margaret [11]

Answer:

Distance of home plate to 1st base is equal to home plate to 3rd base

Step-by-step explanation:

Let's first assign each position:

A: home base

B: 1st base

C: 2nd base

D: 3rd base

The information given:

'It’s the same distance from the second base to the first base from the second base to third-base' tells us BC = CD

'the angle formed by the first base second base and Homeplate has the same measure as the angle formed by the base second base home plate' tells us angle(BCA) = angle(DCA)

Check for congruency between triangle ABC and ADC

BC = CD - side congruency (S)

angle(BCA) = angle(DCA) - angle congruency (A)

CA = CA - side congruency (S)

So triangle ABC and ADC fullfill the criteria of congruence property as SAS.

Since both triangle are congruent, another side of the triangles AB and AD must be the same too.

AB = home plate to 1st base

AD = home plate to 3rd base

Therefore we can conclude that the distance of home plate to 1st base is equal to home plate to 3rd base

3 0
3 years ago
A jeweler who buys a ring from a jewelry maker for $125 marked with the price by 135% for sale in the store what is the selling
siniylev [52]
Marked up by 135% means
new price=original price+(original price times markup) =125+(125 times 1.35)=293.75
tax
293.75 times 0.075=22.03125

293.75-22.03125=271.718 so aprox $271.72


selling price would be $271.72
6 0
4 years ago
Read 2 more answers
Prove ABC~EDC ?
erastova [34]

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

<u>AA (Angle-Angle) Similarity</u> states that  In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

Triangles ABC and EDC are similar by AA similarity theorem

8 0
4 years ago
I need help with this pls
Naddik [55]

Answer:

Im looking for this answer to lol

Step-by-step explanation:

3 0
3 years ago
HELP ME PLEASE!!!!
horsena [70]
2\sqrt5+3\sqrt5-\sqrt5=(2+3-1)\sqrt5=4\sqrt5\\\\\text{Answer:}\ 4\sqrt5
Look at the square root like "x", then
2\sqrt5+3\sqrt5-\sqrt5=/2x+3x-x=4x/=4\sqrt5

3 0
3 years ago
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