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sertanlavr [38]
3 years ago
12

Look at the graph of f(x)=x^2+6x+10. What is the average rate of change between {1,3}?

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0
This equals [f(3) - f(1)]  / [3-1]

=  3^2 + 6(3) + 10 - (1^2 + 6(1) + 10)  / 2

=   (37 - 17) / 2

= 10 Answer
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find the angle between vectors a =(1,2) and b = (1,-1/2). Brainliest for correct answer. Look at photo.
rosijanka [135]

Answer:

  90°

Step-by-step explanation:

The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.

__

The slope to point 'a' is y/x = 2/1 = 2.

The slope to point 'b' is y/x = (-1/2)/1 = -1/2.

The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.

__

We can also use the trig formula for the tangent of the difference of angles.

  tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

The tangents are the slopes, calculated above, so we have ...

  tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = <em>undefined</em>

The tangent is <em>undefined</em> for angles that are odd multiples of 90°. The angle between the vectors is 90°.

8 0
2 years ago
How do the values compare? Order the values from least to greatest
malfutka [58]
-2 1/4, -1 1/4, 3/4, |-1 1/4|, |-1 3/4|, |-2 1/4
hope it helps
8 0
3 years ago
the ratio of men to women working for a company is 4 to 7 if there are 231 employees total how many women work for the company.
Dvinal [7]

Answer:

297

Step-by-step explanation:

8 0
2 years ago
I NEED HELP WITH MATHH
Nesterboy [21]
Hey I can help give me one moment .
6 0
2 years ago
The volume of a sphere is 36 cubic inches. What is the radius of the sphere?
Serjik [45]

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

\sqrt[3]{27 \div \pi}

r= 2.048in

round off to 2.05in

<u>PROOF</u>

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= <u>2.05 inches</u>

8 0
2 years ago
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