It is just the multiplication of vectors. We'll multiply corresponding pairs together. The general formula for the pairs of (
;
) and (
;
) is
*
+
*
= (-6)*(-3)+4*6=18+24=42
Answer:
y = 35 x = 39
Step-by-step explanation:
Let large no = x and small no = y
According to the question,
x = 4 + y ------ (1)
x + y = 74 -------- (2)
Substituting (1) in (2)
( 4 + y ) + y = 74
4 + 2y= 74
2y = 74 -4
y = 70 / 2 = <u>35</u>
x = 4 + y
= 4 + ( 35 )
= <u> 39</u>
Answer:
13, 15
Step-by-step explanation:
Let x represent the smaller of the two integers. Then the larger is x+2. The required relation is ...
x² = 154 +(x +2) . . . . . . the smaller squared is 154 more than the larger
x² -x = 156 . . . . . . . . . . subtract x
x² -x +1/4 = 156.25 . . . complete the square
(x -1/2) = √156.25 = 12.5 . . . . take the square root
x = 13 . . . . . add 1/2
The two integers are 13 and 15.
__
<em>Check</em>
13² -15 = 169 -15 = 154 . . . as required
Answer:
x = 18.
Step-by-step explanation:
The 2 amgles are adjacent so add up to 180 degrees so we have:
x^2 - 11x + 3x = 180
x^2 - 8x - 180 = 0
(x -18)(x + 10) = 0
x = -10, 18.
x = -10 cannot be correct because that would make the 3x angle = -30.
Answer:
V = 0.375 units³
Step-by-step explanation:
The volume of a rectangular prism is V = lwh.
Where l is the length, w is the width, and h is the height.
Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.
V = lwh
V = (1)(¾)(½) units
V = (⅜) units
V = 0.375 units
