Answer: <em>6 units</em>
Step-by-step explanation:
<em>Area = 1/2 (base1 + base2) X height <-------- Formula for a trapezoid</em>
<em>24 = 1/2 (2 + 6) X h <----- We know that the area of the trapezoid is 24 units </em>
<em>squared and that both of the bases are 2 units and 6 units. </em>
<em>24 = 1/2 (8) X h <------- Add 6 + 2</em>
<em>24 = 4 X h <----- Half of 8 is 4</em>
<em>h = 6 <------ 6 X 4 = 24 , therefore the height is 6 units.</em>
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<em>Hope this helps!</em>
Answer:
(A)(12, 9)
Step-by-step explanation:
Given:
The beginning of the left edge of the stencil falls at (2, −1).
A point, say Q on the stencil is at (4, 1).
Point Q divides the stencil into the ratio 1:4.
We are required to find the end of the stencil.
Mathematically, Point Q divides the stencil internally in the ratio 1:4.
For internal division of a line with beginning point and end point in the ratio m:n, we use the formula
, , Q(x,y)=(4,1), m:n=1:4
Therefore:
The correct option is A.
Consider any arbitrary linear combination of the vectors
. We have
We know
are linearly dependent, which means there must exist some choice of not all zero constants
such that the combination above gives the zero vector. So
is a set of linearly dependent vectors.
Use the Point-Slope formula: y - y1 = m(x - x1)
-1 = m, x1 = 0, y1 = 5 y - 5 = -1(x - 0)
Distribute the (-1): y - 5 = -x
Add 5 to both sides: y = -x + 5
Answer:
Step-by-step explanation:
<u>Given equation</u>
<u>Answer choices</u>
A. The equation represents a proportional relationship.
- TRUE, it is in the form of y = kx
B. The unit rate of change of y with respect to x is 8.5
- TRUE, y = mx + b, the slope m = 8.5 is the rate of change
C. The slope of the line is 2/17
D. A change of 17 units in x results in a change of 2 units in y.
- False, a change of x = 17 results in 17*8.5 = 144.5 units in y
E. A change of 4 units in x results in a change of 34 units in y.