Answer:
8) Onaje is correct
9a) answers could be: 3(6y) or 4y + 6y + 8y or 2(2y + 3y + 4y)
b) all answers simplify to be 18y
Step-by-step explanation:
Paula is not correct because 16t + 9t ≠ 16 + 9 + 2t
16t + 9t only equals 25t
We know that
Applying the Pythagoras Theorem
c=²=a²+b²
where c is the diagonal of the wall
a=12 ft
b=6 ft
c²=12²+6²-----> c²=144+36-----< c²=180-----> c=√180------> c=6√5 ft
the answer is
<span>the exact length of the brace is 6</span>√5 ft
Answer:
The required equation is: y=-3
Option D is correct.
Step-by-step explanation:
We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).
The equation of line in slope-intercept form is expressed as: 
where m is slope and b is y-intercept.
Finding Slope:
Comparing with the given equation y=5, the slope m =0
The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0
Finding y-intercept
The y-intercept can be found using slope m=0 and point (-4,-3)
So, y-intercept b is b=-3
The equation of required line having slope m=0 and y-intercept b=-3 is
So, required equation is: y=-3
Option D is correct.
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the information given, the line passes through an initial point of (- 9, 6) and (1, 27). This means that
x1 = - 9, y1 = 6
x2 = 1, y2 = 27
By substituting these values into the slope formula, we have
m = (27 - 6)/(1 - - 9) = 21/(1 + 9) = 21/10
We would find the y intercept by substituting m = 21/10, x = - 9 and y = 6 into the slope intercept equation. We have
6 = 21/10 * - 9 + c = - 189/10 + c
c = 6 + 189/10 = 249/10
By substituting m = 21/10 and c = 249/10 into the slope intercept equation, the equation of the line is
y = 21x/10 + 249/10
In decimal form, the equation of the line is
y = 2.1x + 24.9
