Answer:
y = -
x - 1
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = -
, then
y = -
x + c ← is the partial equation
To find c substitute (12, - 4) into the partial equation
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = -
x - 1 ← equation of line
Answer:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em>
<em> is an integer.</em>
<em></em>
Step-by-step explanation:
Given two positive integers
and
.
To check whether
is an integer:
Condition (1):
Every factor of
is also a factor of
.
![r \geq s](https://tex.z-dn.net/?f=r%20%5Cgeq%20s)
Let us consider an example:
![s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2](https://tex.z-dn.net/?f=s%20%3D%205%5E2%20%5Ccdot%202%5C%5Cr%20%3D%205%5E3%20%5Ccdot%202%5E2)
which is an integer.
Actually, in this situation
is a factor of
.
Condition 2:
Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.
(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)
Let
![r = 2^2\cdot 5\\s =2^4\cdot 5](https://tex.z-dn.net/?f=r%20%3D%202%5E2%5Ccdot%205%5C%5Cs%20%3D2%5E4%5Ccdot%205)
![\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Br%7D%7Bs%7D%20%3D%20%5Cdfrac%7B2%5E3%5Ccdot5%7D%7B2%5E4%5Ccdot5%7D%20%3D%20%5Cdfrac%7B1%7D%7B2%7D)
which is not an integer.
So, the answer is:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em>
<em> is an integer.</em>
<em></em>
Answer:
Numerical expression
Step-by-step explanation:
This is a numerical expression since there is no unknown value. Both values being multiplied are numbers.
Answer:
98.5537
Step-by-step explanation:
the sum of 1+3+5+7+1209 is.....1225