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scZoUnD [109]
3 years ago
5

Year 10

Mathematics
1 answer:
mylen [45]3 years ago
6 0

Answer:

=3x³+2x²−27x−18

Step-by-step explanation:

(x+3)(x−3)(3x+2)

=((x+3)(x−3))(3x+2)

=((x+3)(x−3))(3x)+((x+3)(x−3))(2)

=3x³−27x+2x²−18

=3x³+2x²−27x−18

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Simplify the expression. Write the answer using scientific notation. 0.3(8.2 x 10^-3)
olchik [2.2K]

Answer:

0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3

Step-by-step explanation:

We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.

Solving,

= 0.3(8.2 x 10^-3)

= 0.3 * 0.0082

= 0.00246

Writing in scientific notation

= 2.46 X 10 ^ -3

So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.

8 0
3 years ago
Drew's school is forming a planning committee for an upcoming cultural festival. The committee of 4 members is to be selected fr
nekit [7.7K]
Answer: B. 135/364

In solving this kind of probability problems, we have to use the Hyper geometric Probability without replacement. We are given with two groups which would be the source of the 4 members of the new group, 2 coming from each respective group.

Equation:

P = [(pCr)(qCm)]/(sCt)
   = [(10C2)(6C2)]/(16C4)
   = 135/364
5 0
3 years ago
Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. The
vodomira [7]

Answer:

2) ABCD is  a RECTANGLE.

Perimeter  =  30 units

Step-by-step explanation:

Here, the given points of the quadrilateral are:

A(6, –4), B(11, –4), C(11, 6), D(6, 6)

Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:

PQ = \sqrt{(c-a)^2 + (d-b)^2

Use this to find the length of all 4 sides:

AB with coordinates A(6, –4), B(11, –4)  is given as:

AB = \sqrt{(11-6)^2 + (-4-(-4))^2} =  \sqrt{(5)^2 + 0} = 5

⇒ AB = 5 units

BC with coordinates B(11, –4), C(11, 6)  is given as:

BC = \sqrt{(11-11)^2 + (6-(-4))^2} =  \sqrt{(0)^2 + 10^2} = 10

⇒ BC = 10 units

CD with coordinates C(11, 6), D(6, 6)  is given as:

CD = \sqrt{(11-6)^2 + (6-6)^2} =  \sqrt{(5)^2 + 0} = 5

⇒ CD = 5 units

AD with coordinates A(6, –4),D(6, 6)  is given as:

AD = \sqrt{(6-6)^2 + (-4-(-4))^2} =  \sqrt{(0)^2 + 10^2} = 10

⇒ AD = 10 units

Now, here AB  = CD =  5 units, AD = BC  = 10 units

Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.

Hence, ABCD is  a RECTANGLE.

Perimeter  = AB + BC+ CD  + AD = 5 + 10 + 5 + 10 = 30 units

8 0
3 years ago
Slope=9/4, y intercept = -4
Tju [1.3M]
Assuming if you are looking for an equation
I can say that the X-intercept= 16/9
but with an equation it would be 9x/4(-4)
7 0
3 years ago
Read 2 more answers
Find the value of x for the given value of y. y=9−7x; y=37
MrMuchimi

Answer:

For y=37, x= -4

Step-by-step explanation:

We have to find the value of x, when y=37 is the given value for the given equation

y=9-7x

Putting the value of y=37 in the equation to find the 'x'

y=9-7x

          37=9-7x\\7x=9-37\\7x=-28\\x=-4

So, for the value of y=37, the value of x=-4

6 0
3 years ago
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