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Reika [66]
3 years ago
7

Find the product mentally.

Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0
(ab+3)(ab−3)

=(ab+3)(ab+−3)

=(ab)(ab)+(ab)(−3)+(3)(ab)+(3)(−3)

=a^2b^2−3ab+3ab−9

=a^2b^2−9

WITCHER [35]3 years ago
4 0

Answer:

Option (c) is correct.

\left(ab\:+\:3\right)\left(ab\:-\:3\right)=a^2b^2-9

Step-by-step explanation:

Given : \left(ab\:+\:3\right)\left(ab\:-\:3\right)

We have to find the product of \left(ab\:+\:3\right)\left(ab\:-\:3\right)

Consider the given expression \left(ab\:+\:3\right)\left(ab\:-\:3\right)

Apply algebraic identity, \left(a+b\right)\left(a-b\right)=a^2-b^2

We have,

a = ab and b = 3

=\left(ab\right)^2-3^2

Simplify, we have,

=a^2b^2-9

Thus, \left(ab\:+\:3\right)\left(ab\:-\:3\right)=a^2b^2-9

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In triangle ABC above, AD is perpendicular to CB. If the lengths of AD and CB were both increased by 50%, how would the area of
astra-53 [7]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene triangle, equilateral triangle, isosceles triangle.

The area of a triangle is given as:

A = (1/2) * b * h

where b = base of triangle, h = height of triangle , A = area

Let BC = base = x, and AD = height = y, hence:

A = (1/2) * x * y = 0.5xy

If the lengths of AD and CB were both increased by 50%, hence:

new AD = y + 0.5y = 1.5y, new CB = x + 0.5x = 1.5x

The new area= (1/2) * 1.5y * 1.5x = 1.125xy

Increased area / area = 1.125xy / 0.5xy = 2.25

If the lengths are increased by 50%, the area would also increase and the new area would be 2.25 times

3 0
2 years ago
Solve for x<br> 9 (x +2) &lt; 3(3-5)
Julli [10]

Step-by-step explanation:

9x+18 < 9-15

1)9-15= -6

9x+18 < -6

9x+18= -5

9x= (-5) - 18

9x= -23

x= 23/9=2 5/9

X=2,55556

7 0
3 years ago
Select the correct answer from each drop-down menu.
vazorg [7]

Answer:

Step 1: Distribute -2 to 5x and 8

Step 2: Subtract from both sides of the equation 6x

Step 3: Add to both sides of the equation  16

Step 4: Divide both sides of the equation by -16

Step-by-step explanation:

Step 1: Apply the Distributive Property. Then you must  distribute -2 to 5x and 8

Then:

-2(5x+8)=14+6x\\\\-10x-16=14+6x

Step 2: You must apply the Subtraction property of Equality and subtract 6x from both sides of the equation. Then:

-10x-16-6x=14+6x-6x\\\\-16x-16=14

 Step 3: You must apply the Addition property of Equality and add 16 to both sides of the equation. Then:

-16x-16+16=14+16\\\\-16x=30

Step 4: You must apply the Division property of Equality and divide both sides by -16. Then:

\frac{-16x}{-16}=\frac{30}{-16}\\\\x=\frac{30}{-16}\\\\x=-\frac{15}{8}

6 0
3 years ago
What is GE ? <br><br><br> Enter your answer in the box.
harina [27]
Since ZY bisects GE and XY bisects EF, and both ZY and XY both bisect GF, then XY ~ ZE and ZY ~ XE.
Therefore ZE = XY = 5
And GE = 2× ZE (because bisected segments are = and therefore ×2 = long segment).
So GE = 2ZE = 2×5 = 10
6 0
3 years ago
Read 2 more answers
Which is equivalent to 256 Superscript three-fourths? 4 12 64 192
Vaselesa [24]

Answer: 64

Step-by-step explanation:

256 is thesame thing as 2 raise to power of 8.

We then multiply 2 raise to power 8 by the power of 3/4. We will then be left with 2 raise to power 6.

2 raise to power 6 equals:

= 2 × 2 × 2 × 2 × 2 × 2

= 64

Check the attached file for proper explanation.

7 0
3 years ago
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