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Ivahew [28]
3 years ago
5

A coyote is traveling 80 feet per second. How fast is the coyote running in miles per hour?​

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

54 miles per hour ......

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Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
vladimir1956 [14]

Answer:

x2 = 60

Step-by-step explanation:

If the variables x and y are inversely proportional, the product x * y is a constant.

So using x1 and y1 we can find the value of this constant:

x1 * y1 = k

12 * 15 = k

k = 180

Now, we can use the same constant to find x2:

x2 * y2 = k

x2 * 3 = 180

x2 = 180 / 3 = 60

So the value of x2 is 60.

3 0
3 years ago
Which is not an equation of the line going through (3, -6) and (1, 2)?
777dan777 [17]

Answer:

B, C

Step-by-step explanation:

The equation of a line can be given by y -y₁= m(x -x₁), where m is the slope. This is also known as the point-slope form.

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }

Slope of the line

=  \frac{2 - ( - 6)}{1 - 3}

=  \frac{2 + 6}{ - 2}

= \frac{8}{ - 2}

= -4

<em>Substitute m= -4 into the equation:</em>

y -y₁= -4(x -x₁)

<em>Substitute a pair of coordinates into (x₁, y₁):</em>

Let's start by substituting (1, 2).

y -2= -4(x -1)

This gives us the same equation as D, making D an incorrect option. Note that the question asks for which is not the correct equation.

Let's change the above into the slope-intercept form, where by y is the subject of formula.

<em>Start by expanding the right-hand side:</em>

y -2= -4x +1

<em>+</em><em>2</em><em> on both sides:</em>

y= -4x +3

This equation is not the same as C. C is thus the correct option.

Let's check for options A and B.

The equation in option B is not the correct equation either as they have substituted (2, 1) instead of (1, 2) into (x₁, y₁). Thus, option B is also correct.

y -y₁= -4(x -x₁)

Substitute (3, -6) into (x₁, y₁):

y -(-6)= -4(x -3)

y +6= -4(x -3)

This is the same as option A, making option A incorrect too.

4 0
2 years ago
Using the side lengths, determine whether the triangle is acute, obtuse or right 9 5 10
Fed [463]

An acute triangle

Step-by-step explanation:

Using a calculator, these measurements fit an acute scalene triangle.

5 0
3 years ago
Flora made 8 withdrawls of $65 each from her bank account. What was the overall change in her account
ohaa [14]

withdrawals are when cash is taken out from the account

Flora withdraws an amount of $75 at a time from her bank account

she makes 7 such withdrawals 

one withdrawal she takes out - $75

then seven withdrawals leads to - $75 x 7 = $525 

then overall change in her account has been a net withdrawal of $525

so the overall change in the account is -$525

7 0
3 years ago
Plz solve thesessss plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
shepuryov [24]

Answer:

5.) b = -2/5 (or -0.4 in decimal form)

6.) 20.5

5 0
3 years ago
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