Answer:
5(d - 2) = 45
Step-by-step explanation:
Solve the given equation for d
3(d + 1) = 4(d - 2) ← distribute parenthesis on both sides
3d + 3 = 4d - 8 ( subtract 3d from both sides )
3 = d - 8 ( add 8 to both sides )
11 = d
Then
5(d - 2) = 5(11 - 2) = 5(9) = 45
Answer:
32 people
Step-by-step explanation:
If 3/4 equals 24, we need to find the other fourth. We can divided the total number of people by the numerator. 24/8, then add 8, which equals 32.
Answer:
Step-by-step explanation:
Let the angles be 4x , 5x
4x + 5x = 180 { supplementary}
9x = 180
x = 180/9
x = 20
Larger angle= 5x = 5* 20 = 100
Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by

Now, from equations (ii) and (iii), we have

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

From equations (iv) and (v), we get

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Answer:
(6,4)
Step-by-step explanation:
The equation is in 'point-slope' form.

This means we can identify the point that was used in the equation.

(6,4) would be a solution to the equation given.
Hope this helps.