Let Mia's score be
. Then, Erick scored 10 more than Mia, so his score is
. Isabelle scored 16 less than twice Mia's score, so her score is
. We can see that
is the sum of these variables, so
the expression represents the total of their scores in this scenario. Moreover, we recall that the variable in the expression,
,
represents Mia's score.To simplify this expression, we add up the variables and the numbers separately, giving us
. Therefore, in simplified form, the expression is equal to
4x - 6. The constant term
in an expression is the term not multiplied by a variable, so in this case, it is
-6.
Surface area is the areas of all the faces added up. Volume is how much a 3D figure can hold.
Answer:
Step-by-step explanation:
If you draw a line from the origin (0,0) to L ( the original point ) and a different line from the origin to the image L' you can see the angle of rotation as being
90 degrees and that the rotation is clockwise.
the rule is (x, y) become ( y, -x)
Putting the other player's king in check is always a good move. true
<h3>What is chess?</h3>
- The policies of chess allow a king to take an opponent's piece whilst in check, so long as that piece isn't always being defended.
- At the equal time, a king in the test is usually forced to move.
- The standard regulations of chess, a participant may not make any pass that places or leaves their king in the test.
- A player may additionally pass the king, seize the threatening piece, or block the check with some other piece.
- A king cannot look at the opposing king, considering this will vicinity the first king in check as well.
Learn more about chess here:-
#SPJ2
Pictures always help; see the one I've attached for reference.
Call the first vector (from HQ to the supply drop) u and the second vector (from supply drop to medics) v. We then want to find w, the vector from the medics to HQ, which corresponds to the vector -(u + v). (This is because u + v is the vector pointing from HQ to the medics; we're talking about the one in the opposite direction.)
Write the vectors in horizontal/vertical component form:
u = (125 km) (cos 235º x + sin 235º y) = (-71.70 x - 102.39 y) km
v = (75 km) (cos 110º x + sin 110º y) = (-25.65 x + 70.48 y) km
Why these angles?
- "55 degrees south of west" is 235º; due west is 180º from the positive horizontal axis, and you add 55º to this
- "20 degrees west of north" is 110º; due north is 90º, so add 20º to this
Add the vectors:
u + v = (-97.35 x - 31.92 y) km
Multiply by -1 to get the vector w:
w = -(u + v) = (97.35 x + 31.92 y) km
The distance covered by this vector is equal to its magnitude:
||w|| = √((97.35 km)^2 + (31.92 km)^2) = 102.45 km
The direction <em>θ</em> is given by
tan<em>θ</em> = (31.92 km)/(97.35 km) ==> <em>θ</em> = 18.15º
