Answer:
B
Step-by-step explanation:
Answer:
=17
Step-by-step explanation:
We need the slope and the y-intercept to find the equation of the linear model.
This line goes through (0,28) and (1,26), so the slope is
\frac{26 - 28}{1} = -2
1
26−28
=−2
The equation that best describes this model is
\widehat{y} = -2x + 28
y
=−2x+28
Plug in x = 5.5 in the above equation to get
\widehat{y}
y
=−2x+28
=(−2)(5.5)+28
=−11+28
=17
Based on this equation, the date in April her flowers will bloom if the average temperature in March is
Answer:
Step-by-step explanation:
Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
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Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is
through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.