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Stels [109]
3 years ago
7

Determine if triangle a bc with coordinatesome a (0,2), b (2,5) and c (-1,7) is an isosceles triangle

Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0
It would not be isosceles it would be scalene because a scalene doenst have the same sides all it sides are different

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What is the simplified expression in standard form
Schach [20]

Answer:

\boxed{\sf - 2 {p}^{2}  - 11p - 35}

Step-by-step explanation:

\sf \implies - 2 {(p + 4)}^{2}  - 3 + 5p \\  \\  \sf \implies  - 2( {p}^{2}  + 2(p)(4) +  {4}^{2} ) - 3 + 5p \\  \\  \sf \implies  - 2( {p}^{2}  + 8p + 16) - 3 + 5p \\  \\  \sf \implies (( - 2) \times  {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\  \\  \sf \implies  (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\  \\  \sf \implies  - 2 {p}^{2}  - 16p - 32 - 3 + 5p \\  \\  \sf \implies  - 2 {p}^{2} +   (- 16p + 5p) + ( - 32 - 3) \\  \\  \sf \implies  - 2 {p}^{2}  - 11p - 35

4 0
4 years ago
foot locker uses sales per square foot as a measure of store productivity last year the mean annual sales per square foot was 39
lord [1]

Answer:

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

Step-by-step explanation:

We have a population with mean 390 and standard deviation 45.83.

Samples of size n=49 are taken.

The parameters of the sampling distribution are:

\mu_s=\mu=390\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{45.83}{\sqrt{49}}=\dfrac{45.83}{7}=6.547

First, we have to calculate the z-score that satisfies:

P(z>z^*)=0.82

This z-score, looked up in a standard normal distribution table, is z=-0.915.

Then, we can calculate the sample mean as:

M=\mu_s+z\cdot\sigma_s=390+(-0.915)\cdot 6.547=390-6=384

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

3 0
3 years ago
Kelly drove north for 9 miles and then east for 12 miles at an average rate of 42 miles per hour to arrive at the town of Prime.
mr_godi [17]

Answer:

Step-by-step explanation:

This is one of the more interesting motion problems I've seen.  I like it!  If Kelly is driving north (straight up) for 9 miles, then turns east (right) and drives for 12 miles, what we have there are 2 sides of a right triangle.  The hypotenuse is created by Brenda's trip, which originated from the same starting point as Kelly and went straight to the destination, no turns.  We need the distance formula to solve this problem, so that means we need to find the distance that Brenda drove.  Using Pythagorean's Theorem:

9^2+12^2=c^2 and

81+144=c^2 and

225=c^2 so

c = 15.

Brenda drove 15 miles.  Now we can fill in a table with the info:

                d        =        r        x        t

Kelly     12+9               42                t

Brenda    15                45                t

Because they both left at the same time, t represents that same time, whatever that time is.  That's our unknown.

If d = rt, then for Kelly:

21 = 42t

For Brenda

15 = 45t

Solve Kelly's equation for t to get

t = 1/2 hr or 30 minutes

Solve Brenda's equations for t to get

t = 1/3 hr or 20 minutes

That means that Brenda arrived at the destination 10 minutes sooner than Kelly.

4 0
4 years ago
The three volumes of Lord of the Rings sit in order on a shelf. Each is 1 1/4 inches thick, comprising an inch of pages and 1/8
zubka84 [21]

Answer:

3 1/2

Step-by-step explanation:

Just trust me

8 0
3 years ago
Read 2 more answers
Of the runners in a marathon through Northeastern Pennsylvania, 94.12% finished the race. If 2,125 runners started the race, how
aliya0001 [1]
Multiply 2,125 by 0.9412 and you get 2000.05 but you cant have 0.05 of a runner to 2,000
6 0
3 years ago
Read 2 more answers
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