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3 years ago

Select the correct answer. Which expression is equivalent to this polynomial? 9x^2 - 4

Mathematics

1 answer:

liberstina [14]3 years ago

3 0

Step-by-step explanation:

Given expression is :

$9x^2-4$

We can write it as :

$(3x)^2-2^2$

Now using identity : $a^2-b^2=(a-b)(a+b)$

Here, a = 3x and b = 2

So,

$(3x)^2-2^2=(3x-2)(3x+2)$

Hence, the given expression is equivalent to (3x - 2)(3x + 2) .

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Math help please I’ll give out brainliest!!!!!!!!

ahrayia [7]

Answer:

Option 3

Step-by-step explanation:

The slope is 7 and the y-intercept is 0

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3 years ago

If a straight line y = mx + c passes through the intersecting point of 3x - y = 8 and x+ 2y = 5 which is perpendicular to the li

Sindrei [870]

Answer:

Point of intersection:

$3x - y = 8 - - - (a) \\ x + 2y = 5 - - - (b)$

2 × equation(b) + equation (a):

$7x = 21 \\ x = 3 \\ \\ y = 3x - 8 \\ y = 1$

Point of intersection = (3, 1)

Perpendicular line:

$3x + 6y - 11 = 0 \\ 6y = - 3x + 11 \\ y = - \frac{1}{2} x + \frac{11}{6}$

General equation of line:

$y = mx + c \\ 1 = (2 \times 3) + c \\ c = - 5$

Value of m:

$m \times m {}^{i} = - 1 \\ m \times - \frac{1}{2} = - 1 \\ m = 2$

8 0

3 years ago

Solve the following system of equations by the substitution method.

ruslelena [56]

5x = y + 6 (I)
2x - 3y = 4 (II)
-------------------
We have:
5x = y + 6 → $x = \frac{y+6}{5}$

Soon:
2x - 3y = 4 → $2* (\frac{y+6}{5}) - 3y = 4\to \frac{2y+12}{5} - 3y = 4$
least common multiple (5)
 $\frac{2y+12}{5} - 3y = 4\to \frac{2y+12}{\diagup\!\!\!\!\!5} - \frac{15y}{\diagup\!\!\!\!\!5} = \frac{20}{\diagup\!\!\!\!\!5}$
$2y + 12 - 15y = 20$
$- 15y + 2y = 20 - 12$
$- 13y = 8$
$\boxed{\boxed{y = - \frac{8}{13} }}\end{array}}\qquad\quad\checkmark$

4 0

4 years ago

Please Help ASAP I dont understand this

antiseptic1488 [7]

To find m<3, we can use the angle sum of triangles, in which the addition all angles in a triangle must be equal to 180°.

In this case:

m<3 +52°+29° = 180°

m<3 + 81° = 180°

m<3 = 180°-81°

m<3 = 99°

To find m<4, we can use adjacent angles on a straight line, where the addition of angles on a straight line must be 180°.

In this case:

m<4 + 99° = 180°

m<4 = 180°-99°

m<4 = 81°

Therefore m<3 is 99° while m<4 is 81°.

Hope it helps!

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3 years ago

Which of the following is the additive inverse of 1/2 ? 2 -2 -1/2

lara [203]

Answer:

-1/2

Step-by-step explanation:

It's the exact opposite. aka the negative version of the number.

3 0

3 years ago

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