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3 years ago

What is the simple way of solving quadratic equation

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

quadratic equations can be soled by 3 methods

factorization

completing square

quadratic formula

but factorization is the simplest

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You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill bef

QveST [7]

Answer:

$35.2

Step-by-step explanation:

% saved = 25%

Money saved = $8.80

Let x be the bill before the coupon discount.

25/100 × x = 8.80

x = $35.2

7 0

3 years ago

Can please someone help me? The question is in the picture. Thank you

maxonik [38]

Answer:

C. $9\pi$

Step-by-step explanation:

We proceed to solve for $x$ by the Pythagorean Theorem:

$(x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}$ (1)

$x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)$

$x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17$

$4\cdot x^{2} -20\cdot x + 16 = 0$

$(2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0$

$(2\cdot x -8)\cdot (2\cdot x -2) = 0$

There are two different solutions:

$x_{1} = 4$ , $x_{2} = 1$

A solution of $x$ is considered realistic when the length of every side of the triangle is a not negative number.

$x_{1} = 4$

$UV = 2\cdot (4) - 4$

$UV = 4$

$WU = 4 - 1$

$WU = 3$

$WV = 4 + 1$

$WV = 5$

$x_{2} = 1$

$UV = 2\cdot (1) - 4$

$UV = -2$

$WU = 1 - 1$

$WU = 0$

$WV = 1 + 1$

$WV = 2$

The only realistic set of solutions is for $x = 4$ , and the radius of the circle is represented by the line segment $WU$ : $r = 3$

And the area of the circle ( $A$ ) is calculated from the following formula:

$A = \pi\cdot r^{2}$

$A = \pi\cdot (9)$

$A = 9\pi$

The correct answer is C.

6 0

3 years ago

The car consumes 6 liters per 100 km. How many kilometers can you drive with this car if the tank has 42 liters?

DaniilM [7]

Answer:

If 100km enables consumption of 6lts

what about 42lts

42/6 multiply by 100km

42/6*100= 700km

The car will consume 42lts in 700 km.

Thank you.

Step-by-step explanation:

5 0

3 years ago

Which of the following options represents a logical first step that can be used

steposvetlana [31]

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B

3 0

3 years ago

I need help with these questions.

Ivanshal [37]

Answer:

See below

Step-by-step explanation:

The greater the angle the greater the opposite side

<u>Sides in ascending order:</u>

AB = 17, AC = 18, BC = 21

<u>Angles in same order</u>

∠C, ∠B, ∠A

<u>As above, sides in ascending order:</u>

AB = 15, AC = 16, BC = 17

<u>Angles in same order</u>

∠C, ∠B, ∠A

<u>Exterior angle equals to sum of non-adjacent interior angles</u>

142° = x + 66°
x = 142° - 66°
x = 76°

<u>Same subject and isosceles triangle:</u>

x + x = 158°
2x = 158°
x = 79°

<u>Same subject</u>

m∠QSR = m∠QPS + m∠PQS
2x = x + m∠PQS
m∠PQS = 2x - x
m∠PQS = x

ΔPQS has two angles with the measure of x, hence their opposite sides are congruent and the triangle is isosceles

7 0

3 years ago

What is the simple way of solving quadratic equation ​

What is the simple way of solving quadratic equation