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Aloiza [94]
3 years ago
13

Use the distributive property to write the next step in simplifying the equation. Use the asterisk symbol (*) to represent multi

plication. Do not multiply factors fully and do not use spaces. x(4+5) = 54​
Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

Given:

The equation is:

x(4+5)=54

To find:

The next step in simplifying the equation by using distributive property.

Solution:

Distributive property: According to this property if a, b and c are three real numbers, then

a(b+c)=ab+ac

We have,

x(4+5)=54

Using the distributive property, we get

x(4)+x(5)=54

It can be written as:

4x+5x=54

Therefore, the next step of the simplification is 4x+5x=54.

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find the slope of the curve y=x^2-2x-5 at the point P(2,5) by finding the limit of secant slopes through point P
Fynjy0 [20]

The point (2, 5) is not on the curve; probably you meant to say (2, -5)?

Consider an arbitrary point Q on the curve to the right of P, (t,y(t))=(t,t^2-2t-5), where t>2. The slope of the secant line through P and Q is given by the difference quotient,

\dfrac{(t^2-2t-5)-(-5)}{t-2}=\dfrac{t^2-2t}{t-2}=\dfrac{t(t-2)}{t-2}=t

where we are allowed to simplify because t\neq2.

Then the equation of the secant line is

y-(-5)=t(x-2)\implies y=t(x-2)-5

Taking the limit as t\to2, we have

\displaystyle\lim_{t\to2}t(x-2)-5=2(x-2)-5=2x-9

so the slope of the line tangent to the curve at P as slope 2.

- - -

We can verify this with differentiation. Taking the derivative, we get

\dfrac{\mathrm dy}{\mathrm dx}=2x-2

and at x=2, we get a slope of 2(2)-2=2, as expected.

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3 years ago
Someone please help i can’t find the answer.
irina [24]

Answer:

It would be the second one

Step-by-step explanation:

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Ten sixth-grade students in five different countries—United States, Australia, South Africa, Canada, and New Zealand—were asked
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12.3.5.5 or  New Zealand is a mean. or MAD means not now what you want to say,

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Which of the following is the equation of a line parallel to the line y=-x+1,
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Answer:

B

Step-by-step explanation:

The result says y=-x+5 which can be rearrange d to x+y=5

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3 years ago
Read 2 more answers
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