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3 years ago

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If you had a fraction strip folded into tenths what fractional lengths could you measure with the strip?

1 answer:

katen-ka-za [31]3 years ago

7 0

Given situation : you have a fraction strips folded into tenths, find the fractional lengths you could use to measure.
The fraction of tenths = 10/10
Possible measure of length of fractional strips:
=> 1/10
=> 2/10 or 1/5
=> 3/10
=> 4/10 or 2/5
=> 5/10 of ½
=> 6/10 or 3/5
=> 7/10
=> 8/10 or 4/5
=> 9/10
These are the possible measures of length of the folded strips that is folded in tenths

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A car moving at a constant speed passed a timing device at t=0. After 7 seconds, the car has traveled 567 ft. Write a linear fu

Alisiya [41]

Answer:

The required equation is:

d = 81t

f(t) = 81t

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

= [567 - 0] / [7-0]

= 567 / 7

= 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

or

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft

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Answer:

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Step-by-step explanation:

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Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.

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Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ $3x^2-y^2=3$ ...(equation 1)

⇒ $y+x-5=0$ ...(equation 2)

According to the 2nd equation, we get

⇒ $y+x-5=0$

⇒ $y=5-x$

On substituting the value of "y" in the 1st equation, we get

⇒ $3x^2-y^2=3$

$3x^2-(5-x)^2=3$

$3x^2-(25+x^2-10x)=3$

$2x^2+10x-28=0$

On taking common, we get

$x^2+5x-14=0$

On applying factorization, we get

$x^2+7x-2x-14=0$

$x(x+7)-2(x+7)=0$

$(x+7)(x-2)=0$

$x+7=0$

$x=-7$

or,

$x-2=0$

$x=2$

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

On substituting the values in the above formula, we get

= $\sqrt{(2-(-7))^2+(3-12)^2}$

= $\sqrt{(9)^2+(-9)^2}$

= $\sqrt{81+81}$

= $9 \sqrt{2}$ units

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Step-by-step explanation:

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