Answer: The required x-intercept of the given line is ![\left(-\dfrac{15}{13},0\right).](https://tex.z-dn.net/?f=%5Cleft%28-%5Cdfrac%7B15%7D%7B13%7D%2C0%5Cright%29.)
Step-by-step explanation: We are given to find the x-intercept of the line with the following equation :
![13x+y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://tex.z-dn.net/?f=13x%2By%3D-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29)
We know that
x-intercept of a line is a point on the line where the line crosses the x-axis, that is y co-ordinate is 0.
Substituting y = 0 in equation (i), we get
![13x+y=--15\\\\\Rightarrow 13x+0=-15\\\\\Rightarrow 13x=-15\\\\\Rightarrow x=-\dfrac{15}{13}.](https://tex.z-dn.net/?f=13x%2By%3D--15%5C%5C%5C%5C%5CRightarrow%2013x%2B0%3D-15%5C%5C%5C%5C%5CRightarrow%2013x%3D-15%5C%5C%5C%5C%5CRightarrow%20x%3D-%5Cdfrac%7B15%7D%7B13%7D.)
Thus, the required x-intercept of the given line is ![\left(-\dfrac{15}{13},0\right).](https://tex.z-dn.net/?f=%5Cleft%28-%5Cdfrac%7B15%7D%7B13%7D%2C0%5Cright%29.)
Question:
Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?
Choose 1 answer:
![A.\ |1.7 - 1/2|](https://tex.z-dn.net/?f=A.%5C%20%7C1.7%20-%201%2F2%7C)
![B.\ |1.7 -(-1/2)|](https://tex.z-dn.net/?f=B.%5C%20%7C1.7%20-%28-1%2F2%29%7C)
C. None of the above
Answer:
![B.\ |1.7 -(-1/2)|](https://tex.z-dn.net/?f=B.%5C%20%7C1.7%20-%28-1%2F2%29%7C)
Step-by-step explanation:
Given
Numbers: 1.7 and -1/2
Required
Determine the distance
To calculate the distance, we start by calculating the difference between the given numbers;
![Difference = 1.7 - (-1/2)](https://tex.z-dn.net/?f=Difference%20%3D%201.7%20-%20%28-1%2F2%29)
Then, we calculate the distance;
<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>
Hence,
![Distance = |Difference|](https://tex.z-dn.net/?f=Distance%20%3D%20%7CDifference%7C)
Substitute
for Difference;
![Distance = |1.7 - (-1/2)|](https://tex.z-dn.net/?f=Distance%20%3D%20%7C1.7%20-%20%28-1%2F2%29%7C)
<em>Hence, the correct option is B</em>
Answer: 75% Of the original price
Step-by-step explanation:
Answer:
D. 12 by 12 inches
Step-by-step explanation:
36*36= 1296
100*44= 4400
50*22= 1100
none of these answers equal 144 except for 12*12
hope this helps <3