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3 years ago

Which of the following shows the factors of 9x^2 + 3x - 2?

Mathematics

2 answers:

Nesterboy [21]3 years ago

8 0

Answer:

Option C. (3x + 2)(3x - 1) is the answer.

Step-by-step explanation:

The given expression is 9x² + 3x - 2 and we have to factorize the expression given.

9x² + 3x - 2 = 9x² + 6x - 3x - 2

= 3x(3x + 2) - 1(3x + 2)

= (3x + 2)(3x - 1)

So the factorized form of the expression is (3x + 2)(3x - 1).

Option C is the correct answer.

a_sh-v [17]3 years ago

5 0

Answer:

Choice C is the answer.

Step-by-step explanation:

We have given an expression.

9x²+3x-2

We have to factorize given expression.

Split the middle term of above expression so that the sum of two terms should be 3 and their product be -18.

9x²+6x-3x-2

Making groups and taking common , we have

3x(3x+2)-1(3x+2)

Taking 3x+2 as common, we have

(3x+2)(3x-1) which is the answer.

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KatRina [158]

Answer:

first and second choice

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3 years ago

Guys! Help me find how much of this circle is shaded!

Alona [7]

Answer:

The answer is 1/10

Step-by-step explanation:

Let us take the Shaded region be x

So,

2/5 + x = 1/2

Now, Solve for x

x + 2/5 = 1/2

5x + 2/5 = 1/2

2(5x + 2) = 5(1)

10x + 4 = 5

10x + 4 – 4 = 5 – 4

10x= 1

10x/10 = 1/10

x = 1/10

Thus, The value of x is 1/10

<h3>For Verification;</h3>

2/5 + x = 1/2

2/5 + 1/10 = 1/2

2 × 2/5 × 2 + 1/10 = 1/2

4/10 + 1/10 = 1/2

4 + 1/10 = 1/2

5/10 = 1/2

1/2 = 1/2

L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72

6 0

2 years ago

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

den301095 [7]

Answer:

Here, the coordinates of the given rectangle are (1,2), (3,2), (1,-1) and (3,-1)

In the dilation by the scale factor k with centered at origin,

$(x,y)\rightarrow (kx,ky)$

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the Rectangle are,

$(1,2)\rightarrow (2\times 1, 2\times 2)$

$(3,2)\rightarrow (2\times 3, 2\times 2)$

$(1,-1)\rightarrow (2\times 1, 2\times -1)$

$(3,-1)\rightarrow (2\times 3, 2\times -1)$

Thus, the coordinates of new rectangle are,

(2,4), (6,4), (2,-2) and (6,-2)

3 0

3 years ago

Read 2 more answers

7,24,25. 7 , 23,24 7, 25,26 Which of the following will form a right triangle

Andru [333]

We know that
In a right triangle
c²=a²+b²
where
a and b are the legs of triangle
c is the hypotenuse of the triangle
so

case 1)7,24,25
25²=7²+24²
25²-----> 625
7²+24²----> 625
625 is equal to 625----------> form a right triangle

case 2) 7,23,24
24²=7²+23²
24²------> 576
7²+23²-----> 578
576 is not 578-------------> not form a right triangle

case 3) 7,25,26
26²=7²+25²
26²-----> 676
7²+25²-----> 674
676 is not 674-----> not form a right triangle

the answer is
7,24,25 form a right triangle

8 0

3 years ago

A line with a slope of 5 passes through the points 6, 6) and (6, 1). What is the value of j?

irakobra [83]

Answer:

Your question cannot be correct

Step-by-step explanation:

A line passing through points (6,6) and (6,1) cannot have a slope of 5.

This line passing through these two points would be a vertical line. The slope of a vertical line is considered UNDEFINED.

7 0

3 years ago