Answer:
y = (-1/2) x + 4
Step-by-step explanation:
<u />
<u>Given line</u> has slope 2 so the <u>perpendicular line</u> has the slope is -1/2 because ⊥ lines have their slopes negative reciprocal.
Both lines intersect at (4, 2) so this point belongs to both lines.
→general equation of a line y = mx+b where m = slope, b = y-intercept
→the equation for the line that has slope m = -1/2, is y = (-1/2) x+ b ( we do not know b now but will find it)
→we know that the point ( 4, 2) belongs to this line so the equation works for (x= 4, y= 2), substitute those values in the equation y = (-1/2) x+ b
2 = (-1/2)*4+ b which gives us b = 2+ (1/2)*4= 2+ 4/2 = 2+ 2 = 4
The equation of the line that is perpendicular to a line with a slope of 2 and intersects that line at (4,2) is y = (-1/2) x + 4
This is not the answer but 3 to the power of 3 is 27 not 9 because that 3x3 oh and amogus
Answer:
The value of z is:
z = 6
Step-by-step explanation:
We have been given 4 options of z. Lets substitute each value in the given equation to see which option satisfies.
<h3 /><h3>For z = 3</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(3) - 1) = cos(6(3) + 1)
sin(26) = cos(19)
0.438 = 0.945
FALSE
<h3 /><h3>For z = 4</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(4) - 1) = cos(6(4) + 1)
sin(35) = cos(25)
0.574 = 0.965
FALSE
<h3 /><h3>For z = 5</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(5) - 1) = cos(6(5) + 1)
sin(44) = cos(31)
0.695 = 0.857
FALSE
<h3 /><h3>For z = 6</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(6) - 1) = cos(6(6) + 1)
sin(53) = cos(37)
0.799 = 0.799
TRUE
<h3 />
14x6.5=91 I think that the answer
Answer:
The quotient is 6.
Step-by-step explanation:
Given two fractions are:
and
To find:
The quotient of
Solution:
<em>Formula </em>to convert mixed fraction to a fraction:
Using the above formula to rewrite the given mixed fractions:
can be written as:
can be written as:
Now dividing:
Therefore the quotient is 6.