Let's simplify step-by-step.
3y-6+7y-4y
=3y+ -6+7y+ -4
Combine Like Terms.
=3y+ -6 +7y+ -4y
=6y+ -6
Answer:
6y-6
Answer:
9?
Step-by-step explanation:
9 + 7 is `16, and 16 is a multiple of 4
Answer:
HJ = 17
IK = 30
Step-by-step explanation:
to find HI :
GH : 2
HI : ?
IJ : 12
GI : 7
HI = GI - GH
HI = 7- 2
HI = 5
HI + IJ = HJ
5 + 12 = HJ
17 = HJ
To find IK
IJ = ?
JK = 12
KL = ?
IL = 49
JL = 31
To find IK we need to find KL and IJ
KL = JL - JK
KL = 31 - 12
KL = 19
IJ = IL - (JK + KL)
IJ = 49 - 31
IJ = 18
IK = IJ + JK
IK = 18 + 12
IK = 30
In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula:
v(a→b)=(b1−a1,b2−a2)
In this case we have :
v(a→b)=(−5−(−8),3−(−1))
<span>v(a→b)=(3,4)
</span>To find the magnitude we use the formula:
||v|= √(v1^2)+(v1^2)
So:
||v|= √(32)+(42)
||v|= √9+16
||v|= <span>√</span>25
||v|= 5
Answer:
B (3, 13.5)
Step-by-step explanation:
Using point (0,0) and (15, 67.5) we can find the slope(gradient).
(y - y¹) / (x - x¹) = (67.5 - 0) / (15 - 0)
= 67.5 / 15 = 4.5
slope = 4.5
using the point given in option A (0, 4.5) with point (15, 67.5) to calculate the slope it gives 4.2 which is not equal to what we calculated.
using the option B (3, 13.5) with (15, 67.5) gives a slope of 4.5 which is equal to the slope of the line.
