All categories

3 years ago

Find the product mentally. (z - 12)(z + 12)

Mathematics

1 answer:

bogdanovich [222]3 years ago

8 0

(a-b)(a+b) = a² - b²

(z-12)(z+12) = z² - 12² = z² - 144

Your final answer is z² - 144.

You might be interested in

Select all the ratios that are equivalent to each other.

Elenna [48]

Answer:20:35Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

**Will mark brainilest, please help!** A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in lon

yuradex [85]

Answer:

The dimensions of the piece of metal can be represented by x and x+10.

Now, 2 in squares are being cut out of each corner.

So the new dimensions are x-4 (2in from each side) and x+10-4 or x+6.

When you fold it up, the height becomes 2 and the base has dimensions x-4 and x+6. Now plug this into the volume formula.

V=l*w*h

1302 = (x+6)(x-4)(2)

651 = x2+2x-24

0 = x2 + 2x-675

0 = (x+27)(x-25)

x=-27 reject since lengths cannot be negative or x=25.

So your original dimension for the piece of metal are 25 by 35.

Step-by-step explanation:

8 0

4 years ago

A plane rises from take-off and flies at an angle of 9 degrees with the horizontal runway. When it has gained 500 feet, find t

Len [333]

Answer:

The dashed hypotenuse measures: 3,205.13 ft.

Step-by-step explanation:

. B (Plane is here)

. .

A . . . . . . . C

BC = 500 ft

Angle (Ф) between AB and AC = 9 degrees

So,

Sin(Ф) = BC/AB

Since we need to know how much hypotenuse AB measures, Let's isolate it from the equation:

AB = BC / Sin (Ф)

AB = 500 ft. / Sin (9)

AB = 500 ft./ 0.156

AB = 3,205.13 ft.

8 0

4 years ago

Which pair of equations below represent parallel lines? and y = 9 and x = 18 y = 4x + 9 and y = 4x – 9 y = 5x + 15 and y = –5x +

Inessa05 [86]

Answer:

The correct option is 2.

Step-by-step explanation:

The slope of two parallel lines are equal.

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

In option 1, the equation of lines are

$y=9$

$x=18$

The first line is a horizontal line and the second line is a vertical line. Therefore they are not parallel line. Option 1 is incorrect.

In option 2, the equation of lines are

$y=4x+9$

$y=4x-9$

By using the slope intercept form of a line, the slope of first line is 4 and the slope of second line is 4.

Since the slope of both lines are same, therefore both lines are parallel. Option 2 is correct.

In option 2, the equation of lines are

$y=5x+15$

$y=-5x+15$

By using the slope intercept form of a line, the slope of first line is 5 and the slope of second line is -5.

Since the slope of both lines are not same, therefore both lines are not parallel. Option 3 is incorrect.

3 0

3 years ago

Read 2 more answers

What is the measure of ∠DAB? Enter your answer in the box. ° quadrilateral a b c d with side a b parallel to side b c and side a

charle [14.2K]

Answer: The measure of angle ∠DAB is 84

Step-by-step explanation:

Step 1: 96 + 96 = 192

Step 2: 360 - 192 = 168

Step 3: 168 / 2 = 84

7 0

4 years ago

Read 2 more answers