The length and width of the garden will be obtain as follows:
let the length be x ft, the width will be (x+3.5)ft
area of the bed will be:
A=length*width
11.76=x(x+3.5)
11.76=x^2+3.5x
thus
x^2+3.5x-11.76=0
solving this by quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
thus plugging in the values we obtain
x=[-3.5+/-sqrt(3.5^2-4(-11.76*1))]/2
x=[-3.5+/-sqrt59.29]/2
x=[-3.5+/-7.7]/2
x=4.2 or -11.2
thus the length will be x=4.2 ft and the width will be x-3.5=0.7 ft
It looks like you're doing good with breaking-down the composite into digestible pieces. So, don't stress too much!
Keep in mind that the area for a 3D shape is Bh, where "B" is the area of a face & "h" is the height.
#5
Shape A is 3X4X9.
First, calculate the area of a face:
9X4= 36
Multiply by height:
36X3= 108
The process is the same with shape B.
3X4X8
Calculate area of face:
8X4= 32
Multiply by height:
32X3= 96
Now you add both areas:
108+96= 204 cubic feet
I think you're doing pretty good, just don't over think things too much. Try #8 with the similar process seen here. Just comment if you get stuck.
Hope this helps!
Answer:
1 draw a line of 7.5 cm YZ by scale
2 construct the 90 degree with the help of protecter
3 then cut arc of 6 cm on 90 degree of angle & mark as X
4 join X and Z by scale
<span>
Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.
Question 3.3. What is the slope of the line represented by the equation?There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30