Given a scalar number
and a vector
v, the product between
and
v is a vector, with
- magnitude given by the product between the absolute value of
and the magnitude of
v- direction given by the sign of
: if a is positive, the final vector has same direction of
v; if a is negative, the final vector has opposite direction to
v.
In our problem, the scalar number is
. This means that the product between the vector and this number:
- has magnitude equal to
times the magnitude of the vector
- has opposite direction with respect to the original vector (because the scalar
is negative)
Therefore, the correct answer is
<span>B.) The vector will change direction and decrease in magnitude.</span>
You could first solve for y, assuming x is 0, and y = 6. Then solve for x, and that means y = 4.
The sum of the interior angles of all triangles is 180 degrees. This is a right triangle, thus we know two interior angle values (90 degrees and 29 degrees). To find the third, set the sum of all interior angle values equal to 180 and solve for g.
180 = 90 + 29 + g
Collect like terms.
180 = 119 + g
Subtract 119 from both sides.
61 = g
Find the sum using 61 for g to check work.
180 = 90 + 29 + g
180 = 90 + 29 + 61
180 = 180
Answer:
m∠g = 61°
The slope of this line is 1 and the y-intercept is -2.
In order to find this, you need to put it in slope intercept form. This is done below for you.
3x - 3y = 6 -----> Subtract 3x from both sides
-3y = -3x + 6 -----> Divide by -3
y = x - 2
Now that you have this, you can find the slope by looking for the coefficient of x. In this case it is 1. You can find the intercept as the constant at the end, which is -2.
Answer:
Step-by-step explanation:
To evaluate , substitute to so we should have:
Evaluate the expression and finally, we have:
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