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2 years ago

9

Tanya is training a turtle for a turtle race. For every of an hour that the turtle is crawling, he can travel of a mile. At what

unit rate is the turtle crawling?

1 answer:

Daniel [21]2 years ago

5 0

1 Mile per hour because 1 mile for every hour<span />

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The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

tatuchka [14]

Answer:

$y=\dfrac{7}{5}x-\dfrac{67}{5}$

Step-by-step explanation:

<u>Slope-intercept form of a linear equation:</u>

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:

$\implies -5x-7y=-17$

$\implies -7y=5x-17$

$\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}$

Therefore, the slope of the given equation is -⁵/₇.

If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

$\sf m=\dfrac{7}{5}$

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:

$\implies -5=\dfrac{7}{5}(6)+b$

$\implies -5=\dfrac{42}{5}+b$

$\implies b=-\dfrac{67}{5}$

<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

$\implies y=\dfrac{7}{5}x-\dfrac{67}{5}$

Learn more about slope-intercept form here:

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8 0

1 year ago

Someone please help?

dybincka [34]

Answer:

42°

Step-by-step explanation:

its 42° because its smaller than 48° and that's the only option smaller lol

5 0

2 years ago

Read 2 more answers

Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.

Alenkasestr [34]

Given :

Let sin(45°)=0.7071.

To Find :

The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .

Solution :

We know , value of sin x and cos x is same at x = 45° .

Now , cos (-x) = cos(90°+x)

Therefore , μ in given question is :

μ =90°+45°

μ=135°

So , for angle of type 360°n + :

μ = 360°n + 135° .

Hence , this is the required solution .

5 0

3 years ago

Alex and Peter win some money and share it in the ratio 3:5. Alex gets £33. How much did Peter get?

IgorLugansk [536]

Answer:

Step-by-step explanation:

Set it up as fractions, Alex over Peter.

3/5 : 33/x Let x represent Peter's amount. Now find out: how do you get from 3 to 33? What times 3 equals 33? 11

What you do on the top, you must do on the bottom. If 3 times 11 equals 33, then 5 times 11 equals x. 5 times 11 equals 55, so x equals 55.

Peter will get 55. Don't forget the pound symbol.

5 0

2 years ago

20/100 equivalent answers

Karolina [17]

Answer:

1/50,

2/10,

10/50,

20/100,

40/200,

80/400

160/800

Multiply the common denominator and numerator by a number.

4 0

2 years ago

Read 2 more answers