Answer:
Numbers to the left of 0 on a number line or anywhere are always negative,
Step-by-step explanation:
If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
Answer:
(a) 315°
(b) 3°
(c) 238°
Step-by-step explanation:
Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.
<h3>(a)</h3>
The bearing of P from R is 180° different from the bearing of R from P it will be ...
135° +180° = 315° . . . . bearing of P from R
__
<h3>(b)</h3>
The bearing of Q from R is 48° more than the bearing of P from R, so is ...
315° +48° = 363°, or 3° . . . . bearing of Q from R
__
<h3>(c)</h3>
The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...
180° -48° -55° = 77°
The bearing of Q from P is 77° less than the bearing of R from P, so is ...
135° -77° = 58°
As above, the reverse bearing from Q to P is ...
58° +180° = 238° . . . . bearing of P from Q
Answer:
Step-by-step explanation:
T=V/6-5
T+5=V/6
6(T+5)=V
V=6T+30
Answer:
The surface area of the gift box is = 
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:

in this case, r is not a number, but rather an expression, which is r =
.
The height of the gift box is twice the radius, which is h = 
To get our curved surface area, we carefully put the expressions for h and r into the equation.




The surface area of the gift box is = 