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BlackZzzverrR [31]
2 years ago
10

Find the distance between -2 3/5 and -2 3/10 on a number line.​

Mathematics
1 answer:
alina1380 [7]2 years ago
7 0
Answer: 3/10. -2 3/5 = -2 6/10. -2 6/10 - -2 3/10 = - 3/10. -3/10 = 3/10 away on a number line
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A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
alekssr [168]

Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1

Set f'(x) equal to 8/7 and solve for x:

\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}

Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
2 years ago
We're working with single variable equations and I'm okay at them, but I'm rusty when it comes to using it with fractions. If an
jasenka [17]

Answer: v=-18/5

Step-by-step explanation:

Assuming you want to solve for v, we need to use our algebraic properties.

\frac{v}{3}+2=\frac{4}{5}                 [subtract both sides by 2]

\frac{v}{3}=-\frac{6}{5}                    [multiply both sides by 3]

v=-\frac{18}{5}

Now, we know that v=-18/5.

3 0
3 years ago
Find the number, if 15% of it is equal to 9.
BlackZzzverrR [31]

Answer: 60

Step-by-step explanation:

9/15 = 0.6 = 1%    1% x 100 = 100%     so 0.6 x 100 = 60

7 0
2 years ago
Read 2 more answers
Solve for x. 2.6, 10.4
Liono4ka [1.6K]

Answer:

x=13

Step-by-step explanation:

2.6+10.4=13

8 0
3 years ago
Read 2 more answers
Factor the following polynomial completely.<br><br> 6x^5-30x^4-84x^3
Lerok [7]

6x^5 - 30x^4 - 84x^3

we can factor out 6x^3

6x^3(x^2 - 5x - 14)

Also, we can factor x - 7 and x + 2 out of x^2 - 5x - 14

The final answer = 6x^3(x - 7)(x  + 2)

6 0
2 years ago
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