<h3>
Answer: a = -1 (fourth choice)</h3>
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Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
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Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
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Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
-3/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-6-6)/(5-(-3))
m=-12/(5+3)
m=-12/8
simplify
m=-3/2
I think it is 989 or 899
*3 digit number*
*26 sum*
Last two digits are the same
Answer:
I'm pretty sure its b>2
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3>−b+5
Step 2: Flip the equation.
−b+5<3
Step 3: Subtract 5 from both sides.
−b+5−5<3−5
−b<−2
Step 4: Divide both sides by -1.
-b/-1 < -2/-1
Answer:
b>2
Answer:
2
Step-by-step explanation:
Since there are four negative signs, we have -1 multiplying each other 4 times, multiplying by positive 2. This is then 1 * 2, which is 2.