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Oksi-84 [34.3K]
4 years ago
14

Find the slope through the points (-18, -20), (-18, -15) SHOW ALL WORK, PLEASE HELP ASAP

Mathematics
1 answer:
Korvikt [17]4 years ago
5 0

Answer:

Step-by-step explanation:

The x-value stays the same which means that it is a vertical line. Vertical lines have no slope.

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The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func
alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

h(t)=-16t^2 + 96t

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq  0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq  0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible  \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)

Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

0 \leq  t \leq  6

The height will be positive in the above interval.

7 0
3 years ago
Read 2 more answers
Ella bought some key chains. if she paid $24 for the keys chains, and each one cost the same wholedollar amount , how many could
olga_2 [115]
Hello,                                                                                                                       To solve this problem, you need to use a process of trial and error, and add up each number until you get 24 or above.  If you get above, it is wrong.  The only number that goes into 24 evenly is 8, so the answer is 8 keychains.<span>
</span>
3 0
4 years ago
Find the volume of this cone. round to the nearest tenth. l=10 r-6
lesya [120]

Answer:

376.8

Step-by-step explanation:

Formula Volume Cone = πr² * h/3

Volume = 3.14 * 36 * 3 1/3

Volume ≈ 376.8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
3 years ago
What are the solutions to the equation x2 +2x-8=0
Solnce55 [7]

Answer:

x=2                    x=-4

Step-by-step explanation:

x^2 +2x-8=0

Factor

What numbers multiply to -8 and add to 2

-2*4 = -8

-2+4 =2

(x-2) (x+4) =0

Using the zero product property

x-2 =0             x+4 =0

x-2+2=0+2       x+4-4=0-4

x=2                    x=-4

5 0
3 years ago
Read 2 more answers
Complete the paragraph below. The standard deviation is used in conjunction with the​ ______ to numerically describe distributio
Bumek [7]

Answer:

The standard deviation is used in conjunction with the​ mean to numerically describe distributions that are bell shaped. The​ mean measures the center of the​ distribution, while the standard deviation measures the​ spread of the distribution.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

The mean is the average value of the measures while the standard deviation measures how spread the measures are from the mean. So

The standard deviation is used in conjunction with the​ mean to numerically describe distributions that are bell shaped. The​ mean measures the center of the​ distribution, while the standard deviation measures the​ spread of the distribution.

4 0
3 years ago
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