1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:
m*(-4) = -1
-4m = -1
m = 1/4
2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:
y - y1 = m(x - x1)
y - 6 = (1/4)(x - 2)
y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))
y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)
y = (1/4)x + 11/2 (Evaluate -1/2 + 6)
Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2
We can factorize the equation given:
<span>5 • 20 + 5 • 3
= 5(20 + 3)
= 5(23)
= 115</span>
First thing we are going to do to solve this is to subtract 1.5 from both sides so:
<span>5x+1.5−1.5</span>=<span>7−1.5
</span>5x<span>=5.5
</span>Next we are going to di<span>vide from both sides by 5 so:
</span><span><span>5x/</span>5</span>=<span>5.5/<span>5
Finally your final answer shall be:
</span></span><span>x=1.1
I hope this helps!</span>
From any proportion, we get another proportion by inverting the extremes (or the means):
= k
so we have:
2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k
x=
= -
The corect answer is A. -3/2
or:
From any proportion, we get another proportion by inverting the extremes and the means:
We use a property of proportions:
where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),
so we have
or
(you can check this also by "the product of the extremes equals the product of the means")
3y = - 2x
