Answer:
87
Step-by-step explanation:
Do what's inside the paranethesis first
2+(9*3)=2+27=29
29*3=87
area=(b1+b2)*h all divided by 2
a=(12+12+8.7)*4.9 all divided by 2
a=32.7*4.9/2
a=160.23/2
a=80.12 sq. ft.
We are given first equation y=
x+11.
Second equation is -3x + 7y = 13.
Part A: We need to convert that second equation in slope-intercept form y=mx+b.
In order to convert it in slope-intercept form, we need to isolate it for y.
-3x + 7y = 13
Adding 3x on both sides, we get
-3x+3x + 7y = 3x+13
7y = 3x +13.
Dividing both sides by 7, we get
7y/7 = 3x/7 +13/7.
<h3>y= 3/7 x + 13/7.</h3>
Slope for first equation y=3/7 x +11 is 3/7 and slope of second equation y= 3/7 x + 13/7 is also 3/7.
Slopes are same for both equations.
<h3>Part B: Therefore, lines are parallel due to equal slopes.</h3>
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
Answer:
she will have $169.74
Step-by-step explanation: