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Natasha_Volkova [10]
3 years ago
7

Use the figure to find the product (x + 3)(x + 2). (Hint: Find the area of each small square or rectangle, then add.)

Mathematics
2 answers:
uysha [10]3 years ago
6 0

Answer:

The product is x² + 5x + 6 which is same with the product of (x + 3)(x + 2)

Step-by-step explanation:

Using the smaller square or rectangle to find the product of (x + 3)(x + 2) , we find the area of each rectangle or square. The area means multiplying the length of each square or rectangle to it width.

The first row can be multiplied with each column as follow

x² + x + x + x  = x² + 3x

second row with each column

x + 1 + 1 + 1 = x +3

third row with each column

x + 1 + 1 + 1 = x + 3

adding the whole results

x² + 3x + x + 3 + x + 3  =  x² + 5x + 6  which is the same as the product of (x + 3)(x + 2)

Keith_Richards [23]3 years ago
5 0
(x+3)(x+2)
x^2+2x+3x+6
x^2+5x+6<<<<<< answer
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Write T times B times 3 as an expression
Triss [41]

Answer:

3 (t * b)

Step-by-step explanation:

Txbx3 expand-

3 (t * b)

*= times btw

4 0
3 years ago
In a jewelry store, rings makeup 5/9 of the inventory. Earrings make up 4/15 of the inventory. How many times greater is the rin
Free_Kalibri [48]
First let's make the denominators equal, so that we can compare the two fractions more easily.
To do this, we have to find a number that both 15 and 9 divide into. The smallest number that this can happen to is 45.

15 x 3 = 45
9 x 5 = 45

So we have to multiply 15 by 3 in order to make it into 45. If we're changing the denominator, the numerator must change too, by the same multiplier.

4 ---> 4 x 3 = 12
--
15 ---> 15 x 3 = 45

4/15 = 12/45


5 ---> 5 x 5 = 25
--
9 ---> 9 x 5 = 45

5/9 = 25/45

To find how many times more rings there are, we divide 25 by 12. As the result of this isn't an integer, we leave the answer as a fraction:

There rings inventory is 25/12 times bigger than the earrings inventory.
4 0
3 years ago
If using the method of completing the square to solve the quadratic equation x2 + 3x - 17 = 0, which number would have to be add
MatroZZZ [7]

Answer:

Step-by-step explanation:

To solve using completing square, we need to write the equation as x2+3x=17.

The next step is to add a number such that the square can be completed. The number must be equal to (b/2a)^2, so here it will be (3/2)^2 = 9/4

The equation then becomes x2+3x+(9/4)=17+(9/4).

Solving it further will get you the final answer

8 0
2 years ago
PLEASE HELPP!!!!!!
frosja888 [35]

Answer:

1:144

Step-by-step explanation:

if each floor is 15 feet, the whole building is 60 feet tall. so it does have a scale of 5 inches:60 feet but if you simplify that, its 1 inch: 12 feet, so you convert feet into inches by multiplying by twelve, which gives you a scale of 1:144 inches

3 0
3 years ago
Read 2 more answers
What would the equation be ?
Vikentia [17]

Answer:

y = 4/5x-18/5

Step-by-step explanation:

First we find the slope from the given points (-3,-6) (2,-2)

m = (y2-y1)/(x2-x1)

m = (-2 - -6)/(2 - -3)

   (-2+6)/( 2+3)

  4/5

The slope intercept form of an equation is

y = mx +b  where m is the slope and b is the y intercept

y = 4/5 x +b

Substitute a point into the equation to find b

-6= 4/5(-3) +b

-6= -12/5 +b

Add 12/5 to each side

-6 +12/5 = -12/5 +12/5 +b

Get a common denominator

-30/5 + 12/5 = b

-18/5 =b

The equation is

y = 4/5x-18/5

4 0
3 years ago
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