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2 years ago

NEED HEELLLLPPPPPP!!

Mathematics

1 answer:

Tju [1.3M]2 years ago

6 0

It looks equivalent.

Do the Pythagorean theorem on the triangle shown.
2.1^2-1.4^2

4.2-1.96=2.24

Sqrt of 2.24 is 1.496 or 1.5
Now multiply this by 2 to get the length of x

HOPE THIS HELPS

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Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

3 years ago

What is the correct 3a(8a-6b)

seropon [69]

You would distribute the 3a to the other terms inside the parenthesis:

3a*8a=24a^2
3a*(-6b)=-18ab

Your answer would be 24a^2-18ab

3 0

3 years ago

What is the relationship between RR' and SS'?

dolphi86 [110]

The complete question in the attached figure

the answer is the option <span>c.) RR' || SS'

</span>Because the line that passes through the points RR' is perpendicular to the line WY and the line that passes through the points SS' is also perpendicular to the line WY

therefore
RR' || SS'

6 0

3 years ago

Read 2 more answers

Given 2 points on a graph, write the equation of the graph. Vertex (3,5). Point(5, -3)

damaskus [11]

We know that
for
y=a(x-h)^2+k
vertex is (h,k)
given vertex is (3,5)
y=a(x-3)^2+5
we are also given
(5,-3)
x=5 and y=-3 is a possible solution

-3=a(5-3)^2+5
-3=a(2)^2+5
minus 5 both sides
-8=a(4)
-8=4a
divide by 4 both sides
-2=a

the equation is
$y=-2(x-3)^2+5$

4 0

3 years ago

A political poll showed that 80 percent of those polled said they would vote for proposition P. Of those who said they would vot

Jlenok [28]

Answer:

60%

Step-by-step explanation:

Let the total number of people polled to vote be 1000

80% said they would vote for him

That is 800

20% said they would not vote for him

That is 200

Out of the 800, 70% actually voted

That will be ;

70/100 * 80 = 560

Also, 20% of the 200 that said they would not vote actually voted

That will be ;

20/100 * 200 = 40

Total is thus;

569 + 40 = 600

% is 600/1000 = 60%

5 0

3 years ago