Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]
Answer:
![y=\frac{1}{2}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx-2)
Step-by-step explanation:
We have been given two points on a line
and
. We are asked to write an equation passing through these points.
We will write our equation in slope-intercept form of equation
, where,
m = Slope of line,
b = Initial value or the y-intercept.
Let us find slope of given line using slope formula.
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Let point
and point
.
![m=\frac{-4-(-5)}{-4-(-6)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-4-%28-5%29%7D%7B-4-%28-6%29%7D)
![m=\frac{-4+5}{-4+6}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-4%2B5%7D%7B-4%2B6%7D)
![m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B2%7D)
Now, we will substitute
and coordinates of point
in slope-intercept form of equation as:
![-5=\frac{1}{2}*(-6)+b](https://tex.z-dn.net/?f=-5%3D%5Cfrac%7B1%7D%7B2%7D%2A%28-6%29%2Bb)
![-5=-3+b](https://tex.z-dn.net/?f=-5%3D-3%2Bb)
![-5+3=-3+3+b](https://tex.z-dn.net/?f=-5%2B3%3D-3%2B3%2Bb)
![-2=b](https://tex.z-dn.net/?f=-2%3Db)
Upon substituting
and
in slope-intercept form of equation, we will get our required equation as:
![y=\frac{1}{2}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx-2)
Therefore, our required equation would be
.
Answer:
Step-by-step explanation: