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Luda [366]
3 years ago
11

Reduce the fraction 6x/12x to lowest terms.

Mathematics
2 answers:
vivado [14]3 years ago
7 0
1/2
hope it helps
thank  you
tatuchka [14]3 years ago
7 0
\frac{6x}{12x} =\frac{6x\times1}{6x\times2} =\boxed{\bf{\frac{1}{2}}}
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If the dimensions of a rectangle are enlarged by a
AfilCa [17]

Answer:

area of a rectangle = 4(length × width)

6 0
3 years ago
(a) Use a linear approximation to estimate f(0.9) and f(1.1). f(0.9) ≈ f(1.1) ≈ (b) Are your estimates in part (a) too large or
olasank [31]

Answer:

(Missing part of the question is attached)

L(x)=2x+3

Estimates are too large.

Step-by-step explanation:

Suppose the only information we know about the function is:

f(1)=5

where the graph of its derivative is shown in the attachment

<h3>(a)</h3>

If the function f\\ is differentiable at point x=1 , the tangent line to the graph of f at 1 is given by the equation:

y=f(1) +f'(1)(x-1)

So we call the linear function:

L(x)=f(1) +f'(1)(x-1)

We know the f(1)=5 as it is given in the question, and f'(1)=2 from the graph attached. Substitute in the equation of L(x).

L(x)=5+2(x-1)\\L(x)=5+2x-2\\L(x)=2x+3\\

<h3>(b)</h3>

At x=1,  f'(x) is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve f. Thus, The estimates are too large.

4 0
3 years ago
Distance between (-10,9) and (-5,2)
jonny [76]

Answer:

8.60 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula:

\sqrt{(y1 - y2)^{2} +  {(x1 - x2)}^{2}  }

Thus using the above formula,

Distance between (-10, 9) and (-5, 2)

=  \sqrt{ {(9 - 2)}^{2}  +  {( - 10 + 5)}^{2} }  \\  =  \sqrt{ {7}^{2}  + ( - 5)^{2} }  \\  =  \sqrt{74}  \\  = 8.60 \: units \: (3 \: s.f.)

8 0
3 years ago
What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88
kipiarov [429]

Answer:

\frac{3}{88}

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

\frac{1}{8} * \frac{3}{11}

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

\frac{1}{8} * \frac{3}{11}

=\frac{1 * 3}{8 * 11}

= \frac{3}{88}

At this point, the fraction can't be simplified any further.

Hence,

\frac{1}{8} * \frac{3}{11} = \frac{3}{88}

3 0
3 years ago
In a GP the second and fourth terms are 0.04 and I respectively find the common ratio and the first term​
Reptile [31]

Answer:

common ratio=0.5, a1= 0.08

Step-by-step explanation:

r=a3/a2

r=a4/a3

compare both we get:

a3/a2=a4/a3

subtitute a2=0.04 and a4=1

a3/0.04=1/a3

(a3)^2=0.04*1

(a3)^2=0.04

taking square root in both sides

a3=0.02

For r, r=a3/a2

subtitute a3 and a2 above

r=0.02/0.04

r=0.5 common ratio

For a1

r=a2/a1

0.5=0.04/a1

a1=0.04/0.5

a1=0.08

4 0
3 years ago
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