Answer:
y = - 6x - 2
Step-by-step explanation:
The straight line equation is y = mx + c
First step is to bring the equation given to this form, where you make y the subject.
Now you can easily note down the gradient(m1). You will need it to find the gradient(m2) of the perpendicular line, because m1 × m2 = -1
After you have that substitute the value and the values of x and y given to find c .
Lastly, substitute the value of m2 and c into y = mx + c to find the line that is perpendicular .
Hope I was able to help:)))
Answer:
Each diagonal element will be 3. Off-diagonal elements will be zero.
Step-by-step explanation:
The one that looks like ...
![\left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%260%260%5C%5C0%263%260%5C%5C0%260%263%5Cend%7Barray%7D%5Cright%5D)
Answer: 21/35 girls 14/21 boys
Step-by-step explanation: To find the number of girls, multiply
3/5 × 35 = 21 girls
You can subtract 35-21 to find the number of boys, or multiply
2/5 × 35 = 14 boys
Realizing that 35/5 = 7, we can multiply
7/7 × 3/5 to get the <em>fractional equivalent of girls 21/35</em>
and 7/7 × 2/5 to get the <em>fractional equivalent of boys 14/35</em>
Since thousands has 3 zeros, you would just write 10 with 3 zeros. The answer would be 10,000.
Answer:
x = 44 and y = 4
Step-by-step explanation:
Given:
x - y = 40
2x + 3y = 100
Isolate for x in the first equation:
x = 40 + y
Sub x = 40 + y into the second equation and solve for y:
2(40 + y) + 3y = 100
80 + 2y + 3y = 100
5y = 20
y = 4
Sub y = 4 into the equation for x:
x = 40 + 4
x = 44
Therefore, x = 44 and y = 4
