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aniked [119]
3 years ago
8

How do u factor this

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

You can factor a parabola by finding its roots: if

p(x)=x^2+bx+c

has roots x_1,\ x_2, then you have the following factorization:

p(x) = (x-x_1)(x-x_2)

In order to find the roots, you can use the usual formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

In the first example, this formula leads to

x_{1,2} = \dfrac{-2\pm\sqrt{4+4}}{2} = \dfrac{-2\pm\sqrt{8}}{2} = \dfrac{-2\pm2\sqrt{2}}{2} = 1 \pm \sqrt{2}

So, you can factor

x^2-2x-1 = (x-1-\sqrt{2})(x-1+\sqrt{2})

The same goes for the second parabola.

As for the third exercise, simply plug the values asking

f(1.5)=-5.25

you get

f(-1.5) = 1.5c-3 = -5.25

Add 3 to both sides:

1.5c = -2.25

Divide both sides by 1.5:

c = 1.5

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HELPP PLEASE
umka21 [38]

Answer:

27.5 mm

Step-by-step explanation:

The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.

Let the side length of each of the side of the base of the pyramid be b, hence:

perimeter = 4b

80 = 4b

b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm

The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:

(b/2)² + h² = l²

17² = 10² + h²

h² = 17² - 10² = 189

h = √189

h = 13.75 mm

The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.

6 0
3 years ago
Ravi and his wife are each starting a saving plan. Ravi will initially set aside $125 and then add $40.75 every week to the savi
katen-ka-za [31]

Answer:

  T = 125 +116.40N

Step-by-step explanation:

The total savings is the sum of the two plan values:

  T = A + B

  T = (125 +40.75N) +(75.65N) . . . . substitute the given formulas

  T = 125 + (40.75+75.65)N . . . . . . .combine like terms

  T = 125 +116.40N

7 0
3 years ago
Read 2 more answers
Given that answer please
neonofarm [45]

Answer:

<BCA = 44.4°

Step-by-step explanation:

Reference angle = <BCA = C

Opposite side length = x = 7 cm

Hypotenuse = y = 10 cm

Applying trigonometric ratio, we would have:

sin(C) = \frac{7}{10}

C = sin^{-1}(\frac{7}{10})

C = 44.427004

<BCA = 44.4° (to 3 SF)

5 0
3 years ago
Write in decimal form<br> 7+3/100+9/1000 =
SpyIntel [72]

Answer:

7.039

Step-by-step explanation:

8 0
3 years ago
12. What is the area of the quadrilateral?
ivolga24 [154]
The answer is A 100 square centimeters
4 0
2 years ago
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