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aleksandr82 [10.1K]
2 years ago
5

Calculate the distance between the points P=(-9, 1) and C=(−6, 8) in the coordinate plane.

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
6 0
Using Pythagoras
Distance between P and C = sr[(-6 - -9)^2 + (8 - 1)^2]
= sr(3^2 + 7^2)
= sr(9 + 49)
= sr(58) exactly
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Which is a possible turning point for the continuous function f(x)?
babymother [125]

Answer:

We are given coordinates of a continuous function f(x)

(–2, 0)

(0, –2)

(2, –1)

(4, 0).

We need to find the possible turning point for the continuous function.

Note: Turning point is a point on the graph where slope of the curve changes from negative to positive or positive to negative.

A turning point is always lowest or highest point of the curve (where bump of the graph seen).

For the given coordinates we can see that  (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis.

But the coordinate  (0, –2) is the lowest point on the graph.

Therefore, (0, –2) is the turning point for the continuous function given.

hoped this was helpful!

5 0
3 years ago
11
Natalka [10]
Your answer is $7.50x=90
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3 years ago
Subtract the sum of -1250 and 1138 from the sum of 1136 and 1272
Whitepunk [10]
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5 0
3 years ago
Read 2 more answers
0.6x-0.1=0.5x+2 <br> The solution set is {_} <br><br> PLEASE PLEASE PLEASE EXPLAIN HOW
timurjin [86]

Answer:

21

Step-by-step explanation:

Step 1:

0.6x - 0.1 = 0.5x + 2      Equation

Step 2:

0.1x - 0.1 = 2     Subtract 0.5x on both sides

Step 3:

0.1x = 2.1     Add 0.1 on both sides

Step 4:

x = 2.1 ÷ 0.1    Divide

Ansewr:

x = 21

Hope This Helps :)

3 0
3 years ago
A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d
Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

6 0
3 years ago
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