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2 years ago

Expand and simplify : A) (x+7)(x+10). B) (X-3) (X-9)

Mathematics

1 answer:

garri49 [273]2 years ago

6 0

Answer:

Step-by-step explanation:

A) Using the foil method and distribution, you should get x²+10x+7x+70 from (X×X)+(X×10)+(X×7)+(7×10). When you combine these like terms, you get x²+17x+70.

B) Using the same ideology from part A, when you multiply x-3 into x-9. you should get x²-9x-3x+27. Simplifying this will give you x²-12x+27.

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The difference between x and 5, divided by 6

SashulF [63]

Answer:

The correct way to interpret the difference of a number divided by 6 and 5 equals 8 is

n/6 - 5 = 8. I believe that another tutor has misled you; there should be only one division, applying to n only.

6 0

2 years ago

In an axiomatic system, which category do points, lines, and planes belong to?

scZoUnD [109]

Undefined terms is the category its belongs to.

3 0

3 years ago

Find the area of the largest square contained by a circle of radius r = 1cm. Explain your answer and justify that it is correct.

Elena-2011 [213]

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

= 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is $r \sqrt 2$ .

Therefore, the area of the square is given by $\text{(side)}^2$

= $(r\sqrt 2)^2$

$= 2 r^2$

$= 2 (1)^2$

$=2 \ cm^2$

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

7 0

2 years ago

On a map,1 in. represents 12 mi. Two cities are 6 1/2 in. on a map. How far apart are the actual cities? A. 78 mi B. 72 1/2 mi C

Dovator [93]

1 inch= 12 miles

Multiply 6 1/2 inches by total number of miles per 1 inch (12).

= 6 1/2 * 12
convert to improper fraction

= 13/2 * 12
multiply numerators

= (13*12)/2
multiply in parentheses

= 156/2
divide

= 78 miles

ANSWER: (A) 78 miles

Hope this helps! :)

3 0

2 years ago

How do i express the number 7.901 x 10 to the power of 12

Cerrena [4.2K]

Answer:

7,901,000,000,000

Step-by-step explanation:

8 0

2 years ago