Hi there!
To solve this problem, we need to set up two equations and use the system of equations to solve.
Let x be the first number.
Let y be the second number.
(x + y) ÷ 2 = 34
x = 3y
Now, we can use substitution to solve.
(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17
Now, we plug the value of y in the equation to solve for x.
x = 3*17
x = 51
Hope this helps!
Answer:
The value of x is 
.
Step-by-step explanation:
Given expression is:
We have to solve this for x.
First we will multiply both sides of the equation by 3
2(x-2) = 12x
2x-4=12x
Now we will be subtracting 2x from both sides of the equation
2x-2x-4=12x-2x
-4=10x
10x=-4
Dividing both sides by 10
Hence,
The value of x is .
Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
