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emmainna [20.7K]
2 years ago
5

Use a table to multiply (x – 1)(3x + 2)

Mathematics
1 answer:
Naily [24]2 years ago
7 0

Hello,

The answer is <u>3x² - x - 2</u>

<h3>Step-by-step explanation:-</h3>

<u>Step 1</u> : Apply distributive property by multiplying each term of " x - 1 " by each term of 3x + 2 :-

→ 3x² + 2x - 3x - 2

<u>Step 2</u> : Combine 2x and -3x to get -x :-

→ <u>3x² - x - 2</u>

✍️ <em>B</em><em>y</em><em> </em><em>Benjemin</em> ☺️

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A right square pyramid with base edges of length $8\sqrt{2}$ units each and slant edges of length 10 units each is cut by a plan
seropon [69]

Answer:

32 unit^{3}

Step-by-step explanation:

Given:

  • The slant length 10 units
  • A right square pyramid with base edges of length 8\sqrt{2}

Now we use  Pythagoras to get the slant height in the middle of each triangle:

\sqrt{10^{2 - (4\sqrt{2} ^{2} }) } = \sqrt{100 - 32} = \sqrt{68}  units

One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.

\sqrt{68-(4\sqrt{2} ^{2} )} = \sqrt{68 - 32} = 6 units.

Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:

  • The height 3 units
  • A right square pyramid with base edges of length 4\sqrt{2}

So the volume of it is:

V  = 1/3 *3* 4\sqrt{2}

= 32 unit^{3}

5 0
4 years ago
Find the distance between the points (-1,-2) and (5,2). Simplified radical form.
frozen [14]

Answer:

2\sqrt{13}

Step-by-step explanation:

Using the distance formula,

\sqrt{( x_{2}-x_{1} )^2+(y_{2} -y_{1})^2 }

We just need to plug in the numbers.

So \sqrt{(-1-5)^2+(-2-2)^2}

Then we simplify it to

\sqrt{(-6)^2+(-4)^2} , to \sqrt{36+16}

Finally, we get

\sqrt{52}, which is 2\sqrt{13} when simplified.

3 0
3 years ago
Elm Street is straight. Willard's house is at point H between the school at point S and
Vlad1618 [11]

Answer:

7.5 Miles.

Step-by-step explanation:

3 + 4.5 = 7.5 Miles.

4 0
3 years ago
The sum of the interior angles of a polygon is 3960 degrees find the size of its exterior angles ​
strojnjashka [21]

Answer:

4320 degrees

Step-by-step explanation:

If interior angles are 3960 degrees then there are 24 sides. If polygon is regular, size of each exterior angle is 15 degrees.

A polygon has as many pairs of interior and exterior as number of its sides. Further each pair of exterior and interior add up to

180 degrees.

Sum of all the exterior angles of any polygon is

360 degrees

As sum of all the interior angles of the polygon is

3960 degrees

Sum of all pairs of exterior and interior angles is

3960 degrees + 360degrees = 4320 degrees

5 0
4 years ago
Can i have help plzzzzz
leonid [27]

Answers:

Choice C)  1.5 + AB = 3.7

AB = 2.2  cm

====================================================

Explanation:

Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.

The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.

Therefore, 1.5 + AB = 3.7 is one valid equation to set up.

------------

To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.

1.5 + AB = 3.7

AB = 3.7 - 1.5

AB = 2.2

Notice how,

1.5 + AB = 1.5 + 2.2 = 3.7

to help confirm our answer.

5 0
3 years ago
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