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3 years ago

Factor completely, then place the factors in the proper location on the grid. 3y4 - 2y2 - 5

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

Answer:

$(3y^2-5)(y^2+1)$

Step-by-step explanation:

Let's see if we can think of two numbers that multiply to be 3(-5)=-15

andd add up to be -2

How about -5 and 3? That work's! :)

$3y^4-5y^2+3y^2-5$

Factor by grouping!

$y^2(3y^2-5)+1(3y^2-5)\\(3y^2-5)(y^2+1)$

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The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the

sukhopar [10]

Answer:

58.1 cm

Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

30² = 7.5 +b²

b² = 900 -56.25 = 843.75

b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.

7 0

1 year ago

Find the value of x in the figure below 13x+8 2x+7

liberstina [14]

Step-by-step explanation:

step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)

step 2. 15x + 15 = 180 (like terms)

step 3. 15x = 165 (subtract 15 from each side)

step 4. x = 11. (divide both sides by 15)

7 0

3 years ago

Brittany and Ashley can paint a room in 7 hours if they work together. If Ashley were to work by himself, it would take him 2 ho

stich3 [128]

Answer:

Step-by-step explanation:

Brittany paints the room in x hours, completing 1/x of the room per hour.

Ashley paints the room in x+2 hours, completing 1/(x+2) of the room per hour.

Working together, they complete 1/x + 1/(x+2) = ⅐ of the room per hour.

7(x+2) + 7x = x(x+2)

14x + 15 = x^2 + 2x

x^2 - 12x - 15 = 0

x = [12 ±√(12²+60)]/2= 6±√51

6-√51 is an extraneous solution.

x = 6+√51 ≈ 13.14

Brittany paints the room in 12.14 hours

3 0

2 years ago

What is the vertex of the function x^2-6x+8=0 ?

3241004551 [841]

-6 / 2 = -3 so
x^2 - 6x + 8 is
(x - 3)^2 -9 + 8

= (x - 3)^2 - 1

the vertex is at (3,-1)

5 0

2 years ago

If one serving is 2/3 of a cup, and there are 10 servings in the bag, how many cups are in the bag?

8_murik_8 [283]

Answer:

6 2/3

Step-by-step explanation:

6 0

3 years ago