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3 years ago

Y=2x^2-5x+18 in quadratic formula

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

8 0

Answer:

-(-5) +/- the square root of -5^2 - 4(2)(18) / 2(2)

Step-by-step explanation:

Quadratic formula: -b +/- the square root of b^2 - 4ac / 2a

a = 2, b = -5 c = 18

-(-5) +/- the square root of -5^2 - 4(2)(18) / 2(2)

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Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

3 years ago

Need answer with step I will give ve you 35 points.After 12 years Kishor will be 3 times as old as he was 4 years ago . Find the

tatyana61 [14]

Answer:

12 years

Step-by-step explanation:

Let Kishor's present age be denoted by x.

According to the question :

He will 3 times as old as he was 4 years ago after 12 years

Therefore, the equation is :

x + 12 = 3(x - 4)

Solving :

x + 12 = 3x - 12
3x - x = 12 + 12
2x = 24
x = 12 years

Hence, Kishor's present age is 12 years.

8 0

2 years ago

Which diagram BEST represents the relationship among integers, rational numbers, and whole numbers?

Ronch [10]

Answer:

The correct option is;

Step-by-step explanation:

By the representation of numbers in a figurative for, we have;

1) Th rational numbers that can be expressed in the form a/b, where a and b are real numbers

2) The integers are the direct subset of the set of rational numbers and are displayed in he next larger ellipse in the figure

3) The whole numbers are the direct subset of the set of integers.

8 0

3 years ago

It’s only 10 points but it’s all i got (:

weqwewe [10]

Answer:

Thx a lot

Step-by-step explanation:

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3 years ago

Solve the proportion 2/7= x/28

Vlada [557]

Answer:

Step-by-step explanation:

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3 years ago

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