Answer:
11 kittens and 12 parakeets
Step-by-step explanation:
each kitten has 4 feet while each parakeet has 2
11 x 4 = 44 (kittens)
12 x 2 = 24 (parakeets)
11 + 12 is 23 which is your 23 heads.
44 + 24 is 68 which would be your feet
Answer:
The slope of the line is 3.
Step-by-step explanation:
Using the rise over run rule, we are able to tell the slope is 3/1, which is just 3.
Answer:
372 inches
Step-by-step explanation:
(1 yd = 36 in., and 1 ft = 12 in.)
1 yard stick = 24 in
This means , height of 36 inches casts a shadow of 24 Inches
At the same time a telephone pole casts a shadow of 20 ft 8 in
1 ft = 12 in
Hence,
Convey 20ft to inches
1 ft = 12 in
20 ft = 20 × 12 inches
= 240 inches
Total shadow of the telephone pole = 240in + 8 in = 248 = 248 inches
Hence,
Height/Length of shadow = Height/Length of shadow
36/24= x /248
Cross Multiply
24 × x = 36× 248
x = 36 × 248/24
x = 372 inches
The height of the telephone pole, to the nearest inch is 372 inches
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Answer:
Go through the explanation you should be able to solve them
Step-by-step explanation:
How do you know a difference of two square;
Let's consider the example below;
x^2 - 9 = ( x+ 3)( x-3); this is a difference of two square because 9 is a perfect square.
Let's consider another example,
2x^2 - 18
If we divide through by 2 we have:
2x^2/2 -18 /2 = x^2 - 9 ; which is a perfect square as shown above
Let's take another example;
x^6 - 64
The above expression is the same as;
(x^3)^2 -( 8)^2= (x^3 + 8) (x^3 -8); this is a difference of 2 square.
Let's take another example
a^5 - y^6 ; a^5 - (y ^3)^2
We cannot simplify a^5 as we did for y^6; hence the expression is not a perfect square
Lastly let's consider
a^4 - b^4 we can simplify it as (a^2)^2 - (b^2)^2 ; which is a perfect square because it evaluates to
(a^2 + b^2) ( a^2 - b^2)
