Area(A)= lw
perimeter(P)= 2w+2l= 34in
length(l)= w+5
width(w)= w
1/2 P= 17= w+l
17= w+(w+5)
17= 2w+5
2w=12
w=6 in
l= w+5
l= 6+5
l=11 in
A= lw= (11)(6)= 66in²
Answer:
Area of rectangle is 66 in².
Answer:
6x - 1
Step-by-step explanation:
Okay this is basically polynomial algebra:
1. Add the value of the lengths already given.
like terms: 3x + x = 4x, -4 + 2 = -2. Now you're left with, 4x - 2.
2. Find the difference between the perimeter and the sum of the lengths.
(10x -3) + (4x + 2) = 6x - 1
Answer:
12
Step-by-step explanation:
4x + 5y = 3 ................ (i)
kx + 15y = 9................(ii)
Dividing eqn (ii) by 3, we get,
k/3 x + 5y = 3.............(iii)
Subtracting eqn (iii) by eqn (i), we get,
-4x - k/3 x = 0
or, -(4 - k/3 )x = 0
or, 4 - k/3 = 0/x
or, 4 - k/3 = 0
or, 4 = k/3
or, k = 4*3
:. k = 12 (Ans)
Given:
The graph of f passes through (-6,9).
It is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24.
To find:
The equation of the function f.
Solution:
The equation of line on which graph of f is perpendicular, is
where, a and b are x and y intercepts respectively.
Multiply both sides by 24.
Slope intercept form is
Slope of this line is 3 and y-intercept is -24.
Product of slopes of two perpendicular lines is -1.
Let the slope of f is m. So,
Slope of m is -1/3 and it passes through (-6,9). So, the equation of function f is
Put y=f(x).
Therefore, the required function is .
Answer:
1. No vertical compression or stretching but will open up downward.
2. 1/4 vertical stretch
3. 4 vertical compression
Step-by-step explanation:
Any time your dealing with vertical stretching or compression it will always be the number before the parentheses.
So in 1. it is - or basically -1 which means the parabola will be open up downward. And in this problem there is no stretching or compression
2. Is the 1/4 is a vertical stretch
3. 4 is a vertical compression.
Or what also could help is when the number before the parentheses is bigger such as number 4 the closer together the parabola will be. And the smaller the number like 1/4 the wider the parabola will be.
