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Levart [38]
4 years ago
11

Multiply: (2x2 − 5x)(3x2 + 9x + 3)

Mathematics
1 answer:
yaroslaw [1]4 years ago
3 0

Distribute sum groups

2x^2(3x^2 + 9x + 3) - 5x(3x^2 + 9x + 3)

Distribute

6x^4 + 18x^3 + 6x^2 - 5x(3x^2 + 9x + 3)

Distribute

6x^4 + 18x^3 + 6x^2 - (15x^3 + 45x^2 + 15x)

Simplify brackets

6x^4 + 18x^3 + 6x^2 - 15x^3 - 45x^2 - 15x

Collect like terms

6x^4 + (18x^3 - 15x^3) + (6x^2 - 45x^2 - 45x^2) - 15x

Simplify

<u>Answer: A) 6x^4 + 3x^3 - 39x^2 - 15x</u>

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the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides
Lyrx [107]

Answer:

16\frac{2}{3}cm

Step-by-step explanation:

Given dimensions:

           3\frac{1}{6} cm by 4\frac{2}{3}cm  by 5\frac{2}{3} cm

The total length:

 it is the sum of all the sides;

         \frac{19}{6}  + \frac{14}{3}   + \frac{17}{3}  

LCM of the denominators = 6 ;

   \frac{38 + 28 + 34}{6}  = \frac{100}{6}

                 = \frac{50}{3}

                 = 16\frac{2}{3}cm

5 0
3 years ago
1-Suppose the path of a baseball follows the path graphed by the quadratic function ƒ(d) = –0.6d2 + 5.4d + 0.8 where d is the ho
jasenka [17]

Answer:

1. The correct option B.

2.The correct option A.

Step-by-step explanation:

The given function is

f(d)=-0.6d^2+5.4d+0.8

Where f(d) is the height of the ball at horizontal distance d.

Put f(d)=0, to find the distance where the ball touch the ground.

0=-0.6d^2+5.4d+0.8

Quadratic formula:

d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using the quadratic formula we get

d=\frac{-5.4\pm \sqrt{(5.4)^2-4(-0.6)(0.8)}}{2(-0.6)}

d=-0.146,9.146

Therefore the ball is in air between d=-0.146 to d=9.146.

The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

9.146\approx 9.15

Therefore the correct option is B.

2.

The given equation is

y=(x-1)^2+1                 .... (1)

The standard form of parabola is

y=a(x-h)^2+h             .... (2)

Where, a is constant and (h,k) is vertex.

On comparing (1) and (2), we get

a=1

h=1

k=1

Since the value of a is positive, therefore it is an upward parabola. The vertex of the parabola is (1,1).

Put x=0 in the given equation.

y=(0-1)^2+1

y=1+1=2

Therefore the y-intercept is (0,2) and option A is correct.

8 0
3 years ago
What are the coordinates of B' if the origin is the center of dilation and the scale factor is 1/4?
Deffense [45]

Answer:

B' (1, 2 )

Step-by-step explanation:

Since the centre of dilatation is the origin then multiply the coordinates of B by the scale factor.

B (4, 8 ) → B' (4 × \frac{1}{4} , 8 × \frac{1}{4} ) → B' (1, 2 )

7 0
2 years ago
Read 2 more answers
Which equation represents this statement?
Digiron [165]

Answer:

2n - 10 = 12

Step-by-step explanation:

the difference of twice a number and 10 is equal to 12

= twice a number minus 10 equal to 12

=> 2n - 10 = 12

4 0
3 years ago
Find the length of each missing side and each missing angle in the isosceles triangle below.
Zarrin [17]

Answer:

x = 45

y = 45

z = 11.1

Step-by-step explanation:

Remark

The triangle is a right triangle. That means that it has 1 right angle.

It is also isosceles which means that the two legs that are not the hypotenuse are equal.

Result: z and 11.1 are equal z = 11.1

More remark

If the triangle is isosceles, that means that the angles that are not right angles must also be equal.

90 + x + y = 180

but x = y

90 + 2x = 180                  Subtract 90

2x = 180 - 90                   Divide by 2

2x/2 = 90/2

x = 45

3 0
3 years ago
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