Answer:
Step-by-step explanation:
32
Step 1 : Draw PQ = 6cm
Step 2 : Construct 60 degree at Q. [Given PQR = 60=> Q = 60 ]
Step 3 : Take 5 cm on compass and mark 5cm on the 60 degree
line constructed at Q.
Step 4 : The arc of 5cm and 60 degree line meets is the point R.
[Given QR = 5cm ]
Step 5 : Given PQ || SR so construct a 120° at R ,
because ∠PQR and ∠QRS are supplementary angle.
[ ∠PQR + ∠QRS = 60 + 120 = 180° ]
Step 6 : At P , take 6.5 cm on compass and mark on the line drawn in
Step 5, to get S. [ Given PS = 6.5 ]
33
Given adjacent sides : 4.8 and 4.2
And it is a rectangle.
Step 1 : construct AB = 4.8 cm
Step 2 :At A and B construct 90 degree
Step 3: On the compass take 4.2cm and mark on the 90degree lines
from A and B.
Step 4 : Mark that as C and D respectively.
Step 5 : Join CD
These are pretty easy once you get the concept.
think of <em>random letter</em> (x) as the term y, so in the case of p(x)=-3+4x, its just asking what is y when x equals all those values.
so p(-2) = -3 + 4(-2), since its asking to plug in -2 for x, which equals -11
p(0) = -3 + 4(0)
= -3
p(5) = -3 + 4(5)
= 17
Here, your equation is x + y = 6
In order to calculate coordinates, put x = 0,
0 + y = 6,
y = 6
Now, put y = 0, x + 0 = 6
x = 6
So, Your Coordinates would be: (0, 6) & (6, 0)
Hope this helps!
Answer:
(-12,2)
Step-by-step explanation:
2x + 4y = -16
2y - x = 16
Multiply the bottom part by 2.
2x + 4y = -16
4y - 2x = 32
Add the equations and the answers to the equations up, and they will equal each other.
(2x + 4y) + (4y - 2x) = -16 + 32
8y = 16
y = 2
Plug y = 2 to the 2nd equation.
2*2 - x = 16
4 - x = 16
Subtract 4 from both sides.
-x = 12
Multiply both sides by -1.
x = -12
We determine first the rate of flow of water out of the bottle by dividing the difference in the volume with the difference in time.
r = (28 - 20) / (6 - 2)
r = 2 ounce/s
We calculate the first term by adding 2 ounce/s to the 2nd term, giving us the answer which is equal to 30 ounce/second.
