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3 years ago

What is 13/8 as a improper fraction

Mathematics

1 answer:

satela [25.4K]3 years ago

8 0

13/8 is already an improper fraction

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Write an equation of the line parallel to y=3x−7 that passes through point (2, 4).

MrRissso [65]

Parallel lines share the same slope. y=3x+7 has a slope of 3, so that is the slope of the parallel line. Then use y=mx+b an plug in (2,4).
y=3x+b
4=3(2)+b
4=6+b
b=-2

So the equation is y=3x-2

6 0

3 years ago

The value of

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

Let us assume that:

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

We can also write it as:

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

Comparing the given equation with ax² + bx + c = 0, we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

By quadratic formula:

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

But "x" cannot be negative. Therefore:

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

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2 years ago

Which unit would you use to measure the height of a birds

Mkey [24]

I think that inches would be most common for height but centimeters and feet could also be used.

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3 years ago

Use the following function rule to find f(2). f(x) = 10x f(2)=

zalisa [80]

It would be 20, since you’re replacing the x value with 2. 10(2) is 20.

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1 year ago

Write an equation for a line in slope-intercept form that is parallel to y=−2x+5 and passing through the point (3,−10)

STALIN [3.7K]

Answer: y=-2x-4

Step-by-step explanation:

y=-2x+b

-10=-2(3)+b

-10=-6+b

-4=b

5 0

3 years ago

Read 2 more answers