Answer:
7)
8)
Step-by-step explanation:
7) The equation of the straight line passing through the ordered pair (-3,5) and (3,-5) is given by
⇒ -3(y - 5) = 5(x + 3)
⇒ -3y + 15 = 5x + 15
⇒ 5x + 3y = 0
⇒ (Answer)
8) The equation of the straight line passing through the ordered pair (5,7) and (11,16) is given by
⇒ 2(y - 7) = 3(x - 5)
⇒ 2y - 14 = 3x - 15
⇒ 3x - 2y - 1 = 0
⇒ (Answer)
Answer:
Area =
Step-by-step explanation:
If both length and width are increase by 2x meters each, then:
New length = 30 + 2x
New Width = 20 + 2x
We know area of rectangle = length * width
Thus the new rectangle will have an area of :
Area = length * width =
<u>Note:</u> Standard form of a polynomial is writing the terms in order (highest order comes first and so on)
Step-by-step explanation: In order to factor an integer (the 8 in the fraction 1/8) we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5)
The number that each prime divides the original integer becomes it's exponent in the final result.
In the example:
Prime number 2 to the power of 3 equals 8.
Now, we need to perform a multiplication. The following rule is applied:
In the example:
The new factors in the numerator are: 1x.
Notice that all non-fractions are placed in the numerator.
The factors in the new denominator are:
Now, we need to add the fractions. We use this rule:
The example involved 2 terms.
Note that 1 non-fractional term are treated as fractions with a denominator equal to 1.
The LCD is:
changes to
We need to evaluate a power by multiplying the base by itself as many times as the exponent indicates.
In the example: (the one in parenthesis)
Base 2 will be multiplied by itself 3 times.
2 x 2 x 2 = 8 ( = 8)
(Notice that
is now 8 in the fraction.)
Lastly, we multiply the 8 by 16 in the fraction,
8 x 16 = 128
(Notice that 8 x 16 is now 128 in the fraction)
Therefore, your answer is: