b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
Answer:
x = -20
Step-by-step explanation:
50 - 3x = 110
=> -3x = 110 - 50
=> -3x = 60
=> x = -20
Hoped this helped.
I suggest using the app photo math. It helps a lot. The answer is the FIRST choice
<span>1. Each bike has 2 pedals and 2 wheels;
2. Each tricycle has 2 pedals and 3 wheels;
3. Let x be the number of bikes and, y the number of tricycles;
4. 2x + 3y = 117 and 2x + 2y = 104 => ( </span>2x + 3y ) - ( 2x + 2y ) = 117 - 104 => y = 13 => 2 * x + 2 * 13 = 104 => 2 * x = 104 - 26 => 2 * x = 78 => x = 78 / 2 => x = 39.
Answer:
The product of an integer and 1 is the integer.
Step-by-step explanation:
That’s it.
Peace
