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3 years ago

Function lis defined by the equation r

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

6 0

Answer:

Both have the same y-intercept (-9)

Step-by-step explanation:

✔️Function 1, r = ⅝t - 9, is given in the slope-intercept form, y = mx + b.

b = y-intercept = -9

y-intercept for Function 1 = -9

✔️Function 2, using the table given, the y-intercept is the value of r when t = 0.

Thus, r = -9 when t = 0.

y-intercept for Function 2 = -9

✔️Both functions has the same y-intercept. None is greater than the other.

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Wright 6.789 in word form

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What is the circumference of the circle with radius 8cm in terms of ?

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A coordinate plane with a line passing through (0, negative 4) and (2, 0). What is the equation of the graphed line written in s

Hoochie [10]

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d) The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

Step-by-step explanation:

Step(i):-

Given points are ( 0, -4) and (2 ,0)

slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}$

Step(ii):-

The equation of the line passing through the point ( 0,-4) and having slope

$m = \frac{-1}{2}$

$y - y_{1} = m ( x - x_{1} )$

$y - (-4) = \frac{-1}{2} ( x - 0 )$

2 ( y +4) = -x

2 y + 8 = -x

2 y = - x - 8

$y = \frac{-x}{2} - \frac{8}{2}$

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Final answer:-

The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

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in CAT the measure of the largest angle is 10 less than 5 time the smallest angle. The measure of the middle angle is 6 more tha

Vsevolod [243]

Answer:

The measure of middles angle is 113.5° .

Step-by-step explanation:

Given as :

The measure of the largest angle is 10 less than 5 time the smallest angle.

The measure of the middle angle is 6 more than twice the measure of the largest angle

Let The largest angle = L

Let The middle angle = M

Let The smallest angle = S

As per statement

Largest angle = 5 times smallest angle - 10

i.e L = 5 × S - 10 .....1

Again

Middle angle = twice largest angle + 6

i.e M = 2 × L + 6 ......2

Since for any Triangle sum of three angles = 180°

i.e ∠L + ∠M + ∠S = 180°

Or, ( 5 × S - 10 ) + ( 2 × L + 6 ) + S = 180°

Or, ( 5 × S - 10 ) + [ 2 × (5 × S - 10 ) + 6 ] + S = 180°

Or, 5 S - 10 + (10 S - 20 + 6) + S = 180°

Or, 5 S - 10 + 10 S - 20 + 6 + S = 180°

Or, (5 + 10 + 1) S - 24 = 180°

Or, 16 S = 180° + 24

Or, 16 S = 204

∴ S = $\dfrac{204}{16}$

i.e S = 12.75

So, The measure of smallest angle = S = 12.75°

And

L = 5 × 12.75 - 10

i.e L = 53.75

So, The measure of Largest angle = L = 53.75°

And

M = 2 × L + 6

Or, M = 2 × 53.75 + 6

i.e M = 107.5 + 6 = 113.5

So, The measure of middles angle = M = 113.5°

Hence, The measure of middles angle is 113.5° . Answer

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