Answer:
The sum of 4 times a number and -3 added to 9 times the number is:
4x + (-3 + 9x)
Step-by-step explanation:
Determine what each of the words means
"the sum of" - you are going to be adding the following two numbers.
"4 times a number" - Let x be the number, so, 4x is the first number.
"and -3 added to" - again, it's going to be addition of this number and the following number.
"9 times the number" - let x be the number, so, 9x is the second number in the second addition.
Now that we know what it all means, put it together:
4x + (-3 + 9x)
I really hope this helps you =)
Answer:
The length of the rectangle is
and width is
.
Step-by-step explanation:
The area of the green zone is
and the area of the purple zone is
.
So, the total shaded zone is a rectangle having area =
.
Now, factorizing the area expression we get, area =
.
Therefore, we can say the length of the rectangle is
and width is
. (Answer)
Answer:

Step-by-step explanation:
We are given;
- A point (6, -4)
- An equation of a line, 9x - 3y = 9
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
- To answer the question we need to get the gradient of the given line first.
- We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;
y = 3x -3
- Thus, the slope of the line is 3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;

Thus;

In the form of slope-intercept, the equation will be;

Thus, the equation of the line is;

Answer:
5x - 13y + 2
Step-by-step explanation:
Given: 2x – 4y + 6 + 3x – 9y – 4
Combine all like terms:
5x - 13y + 2
Answer:
1/4
Step-by-step explanation: