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kifflom [539]
3 years ago
5

Hawick is 15 miles south of Abbotsford, and Kelso is 17 miles east of Abbotsford.

Mathematics
2 answers:
vazorg [7]3 years ago
6 0
You are gonna use a^2 + b^2 = c^2 because the cities make a right triangle and you are trying to find the hypotenuse (c). C^2 ends up being 517 and the square root, your answer, is 22.7 miles
SSSSS [86.1K]3 years ago
5 0

Answer:

22.67 miles\\

Step-by-step explanation:

Suppose the position of Abbotsford is at the center of the graph, then Hawick lies to its south at 90 degrees and Kelso  lies to its east at 90 degrees

So both Hawick and Kelso becomes the two end points of the hypotenuse

So the length of hypotenuse = \sqrt{15^2 + 17^2} \\= \sqrt{225 + 289} \\= \sqrt{514} \\\\= 22.67 miles\\

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Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a
Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given y=\frac{\ln\left(5x)}{x^2}

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

y'=\frac{1-2\ln\left(5x)}{x^3}=0

x = \sqrt e/5 is absolute maximum

y''=\frac{6\ln\left(5x)-5}{x^4}=0

x=e^{5/6}/5 is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

4 0
3 years ago
6/7 divided by 12/14 please show the work
Minchanka [31]

Answer:

1

Step-by-step explanation:

When dividing one fraction by another, the best way to solve it is to multiply by the reciprocal. The reciprocal just flipping the fraction over. So you would leave the 6/7 and the multiply by 14/12( because you are multiplying by the reciprocal). When you do that, you then can just multiply the top and the bottom to form one fraction. The numerator is 6*14 = 84, and the denominator is 7*14 = 84. So you are left with 84/84 which anything over itself is equal to one.

Hope this helps!

3 0
2 years ago
Read 2 more answers
The radius of a circle is 12 in. Find its area in terms of \piπ.
iren [92.7K]

Answer:

pi144

Step-by-step explanation:

square the radius but dont multiply by pi because the question wants you to leave it out.

7 0
2 years ago
The ratio of bleach to water in a cleaning solution is 2:18. For every 1 liter of bleach, how many liters of water are in the so
Paha777 [63]

Answer:

For every 1 liter of bleach there are 9 liters of water in the solution

Step-by-step explanation:

∵ The ratio of bleach to water in a cleaning solution is 2 : 18

- That means for every 2 liters of bleach there is 18 liters of water

∵ There is 1 liter of bleach

- Let us use the ratio method

→  bleach  :  water

→  2           :  18

→  1            :  x

- By using cross multiplication

∴ x × 2 = 1 × 18

∴ 2 x = 18

- Divide both sides by 2

∴ x = 9

∵ x represents the number of liters of the water in the solution

∴ The number of liters of the water in the solution is 9

For every 1 liter of bleach there are 9 liters of water in the solution

7 0
3 years ago
C(2, 5), D(3, 1)<br><br> Find the slope of the line that passes through each pair of points.
Tpy6a [65]
Slope=-4 or -4/1

Work:

(2, 5) (3, 1)
x1 y1. x2 y2

M= y2-y1/x2-x1
M= 1-5/3-2
M= -4/1
M=-4
5 0
3 years ago
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