❄ Hi there,
keeping in mind that the sum of complementary angles is 90°,
set up an equation, letting
be x –
{and we know that
}




__________
Keeping in mind that a right angle is 90°,
set up an equation, letting
be x:
{and we know that
}



❄
Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
Answer:
20 + 0.05x ≥ 65
Step-by-step explanation:
20 is by itself since thats what he earns extra per day.
Since he earns 0.05 per flyer, that means we are going to need a variable since we don't know how many flyers he passes. Let x be equal to that.
Since he wants to make at LEAST 65 we are going to use the greater than or equal to symbol since he doesn't want to make less than that.
20 + 0.05x ≥ 65
Best of Luck!