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postnew [5]
3 years ago
5

LaTanya will walk her bike from her house to the bike shop, which is 1.5 mi from her house, to get the bike fixed. She expects t

o wait 30 min for the repair. Then she will ride her bike home. Can she be home in one hour?
Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

no

Step-by-step explanation:

30+30=60

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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
3 years ago
Find the x- and y-intercept of the line x+4y=36
blagie [28]

Answer:

x=36

y=9

Step-by-step explanation:

Plug in 0 for x to find the y-intercept

0 + 4y = 36

4y = 36

y = 9

y-intercept (0, 9)

Plug in 0 for y to find the x-intercept

x + 4(0) = 36

x = 36

x-intercept (36, 0)

4 0
3 years ago
No links need help ASAP
PSYCHO15rus [73]
I think it’s (3,-2) not 100 percent but if ur rotating counterclockwise the x should be positive and the y negative... I think
7 0
3 years ago
Read 2 more answers
If s ( x ) = 2 - x² and t ( x ) = 3x, what is s ( t ( -7 ) )?
ankoles [38]

Answer:

s (t (-7))=?

Step-by-step explana

s (t (-7))=  -7s t

5 0
3 years ago
QUICK QUESTION! PLEASE ANSWER FAST!
nignag [31]

Answer:

I think √170

Step-by-step explanation:

The points are A: (-3,5) and (4,-6) so we plug this into the distance formula

√(x2-x1)^2+(y2-y1)^2

√(4-(-3))^2+(-6-5)^2

√(7)^2+(-11)^2=

√49+121= √170 or a really long decimal which starts out 13.038404810

If I got the points wrong I can redo the problem and get another answer but I did the problem on my own and used a calculator and got the same answer

8 0
3 years ago
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