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
The answer for this is m
=
5.436564
v
2
?
With u = <-7, 6> and v = <-4, 17>, we have
u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>
We want to find a vector w such that
u + 3v + w = <1, 0>
Subtract u + 3v from both sides to get
w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>
w = <20, -57>
The factoring can be done similarly to a quadratic equation thanks to x^4 being the square value of x^2.
<span>x^4 + 6x^2 - 7
x^4</span><span> - x^2</span> + 7x^2 - 7
(x^4 - x^2) + (<span>7x^2 - 7)
</span>x^2(x^2 - 1) + 7(<span>x^2 - 1)
</span>(x^2 + 7)(x^2 - 1)
<span>(x^2 + 7)(x - 1)(x + 1)
</span>
Factored completely we get: <span>(x^2 + 7)(x - 1)(x + 1)</span>
Answer:7
Step-by-step explanation:
95/12=7.916666666666666666666666666