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tatuchka [14]
3 years ago
11

Blake is playing a racing game on his computer. The game tracks the locations of objects using x and y coordinates (see graph be

low). Suddenly, Blake spots a shortcut that would take him straight to the finish line. How much shorter is the shortcut than the normal course?
Mathematics
1 answer:
MissTica3 years ago
3 0

Answer:

Step-by-step explanation:

10738

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Anyone help me, please I need help<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20-%205%7D%20%20%3D%20%208%20%5Csqrt%5B%5
Ilya [14]

Answer:

No Real Solutions.

Step-by-step explanation:

√(x-5)=8√(x-2)

Square on both sides,

(√(x-5))^2=(8√(x-2))^2

or,(x-5)=64(x-2)

or,x-5=64x-128

or,-5+128=64x-x

or,123/63=x

Therefore, x=41/21

If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.

7 0
3 years ago
If f(x)=sinx−1/cos2x, then limx→π2f(x) is equivalent to which of the following?
Harrizon [31]

Answer:

2

Step-by-step explanation:

Given g(x) = sin(x)-1/cos2(x), we are to find the limit if the function g(x) as g(x) tends to π/2

Substituting π/2 into the function

lim x-->π/2 sin(x)-1/cos 2(x)

= sin(π/2) - 1/cos(2)(π/2)

= 1 - 1/cosπ

= 1- 1/-1

= 1 -(-1)

= 1+1

= 2

Hence the limit of the function h(x) = sin(x)-1/cos2(x) as x--> π/2 is 2

8 0
3 years ago
Prove the divisibility of the following numbers:
yan [13]
8^{10}-8^9-8^8=8^8(8^2-8-1)=8^8(55)

81^7-27^9-9^{13}=3^{28}-3^{27}-3^{26}=3^{26}(3^2-3-1)=3^{26}(5)=3^{24}(45)
8 0
2 years ago
What is the solution to 4+ 5ex+2 11?
BlackZzzverrR [31]

Answer:

x= 1/e or x= 0.367

Step-by-step explanation:

:))) Your welcome

3 0
2 years ago
Read 2 more answers
*SOMEONE WHO CAN SIMPLY ORDER INTERVALS!*
Travka [436]

Answer:

Step-by-step explanation:

The time intervals are [0.00, 0.10], [0.10, 0.30], and [0.30, 0.60].

The rate of change in each interval is the slope of the line between the endpoints:

m = [f(b) − f(a)] / (b − a)

Filling out the table:

\left[\begin{array}{ccc}Time (s)&Height (ft)&Rate\ of\ change(ft/s)\\0.00&96.44\\&&\frac{97.60-96.44}{0.10-0.00}=11.6 \\0.10&97.60\\&&\frac{98.57-97.60}{0.30-0.10}=4.85\\0.30&98.57\\&&\frac{98.30-98.57}{0.60-0.30}=-0.90\\0.60&98.30\end{array}\right]

The intervals are already in order from greatest to least.  Simply reverse the order to get least to greatest:

[0.30, 0.60]

[0.10, 0.30]

[0.00, 0.10]

5 0
2 years ago
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