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3 years ago

What is the distance between the points (7, 8) and (–8, 0) on a coordinate grid?

Mathematics

2 answers:

Reptile [31]3 years ago

6 0

Answer:

Hence, the distance between (7,8) and (-8,0) is:

Step-by-step explanation: (a,b)=(7,8) and (c,d)=(-8,0)

Hope this helps!!!!!!

Reptile [31]3 years ago

3 0

Answer:

The answer is 17

Step-by-step explanation:

You might be interested in

In 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

Triss [41]

Answer:

$3,358\ people$

Step-by-step explanation:

The formula to calculate the exponential growth function is equal to

$f(x)=P(e)^{rx}$

where

f(x) is the population

P is the population in the year 2000

r is the rate in decimal

x is number of years since 2000

e is the mathematical constant number

we have

$x=2020-2000=20\ years\\ P=2,400\\ r=0.0168$

substitute in the formula above

$f(x)=2,400(e)^{0.0168*20}$

$f(x)=3,358\ people$

3 0

3 years ago

The winner of a race ran the distance in 45s at an average speed of 9.6 m/s. The runner who came in last finished and 48 seconds

RSB [31]

Answer:

The answer to your question is speed = 9 m/s

Step-by-step explanation:

Data

Winner Last runner

time = 45 s time = 48 s

speed = 9.6 m/s

Process

1) Calculate the distance they ran using the data of the winner

speed = distance / time

-Solve for distance

distance = speed x time

-Substitution

distance = (9.6)(45)

-Result

distance = 432 m

2.- Calculate the speed of the last runner

-Substitution

speed = 432/48

-Result

speed = 9 m/s

3 0

3 years ago

Name the salt formed when magnesium reacts with hydrochloric acid

Zielflug [23.3K]

Magnesium chloride (MgCl2)

6 0

3 years ago

The final price of the textbook for an English literature course is 13.5% more than the listed price when tax and shipping costs

GuDViN [60]

Answer:

The final price of the textbook rounded to the nearest dollar is $167

Step-by-step explanation:

To solve this problem, we need to find out what 13.5% of $147 equals.

13.5% = 0.135

0.135 x $147 = $19.845

$147 + 19.845 = 166.845

Round to the nearest dollar to get $167

3 0

3 years ago

Find the limit............

liubo4ka [24]

Answer: $-\frac{9}{x^2}$

====================================================

Work Shown:

$\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9}{x+\Delta x} - \frac{9}{x}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9x}{x(x+\Delta x)} - \frac{9(x+\Delta x)}{x(x+\Delta x)}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9x-9(x+\Delta x)}{x(x+\Delta x)}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{9x-9x-9\Delta x}{x\Delta x(x+\Delta x)}\\\\\\$

$\displaystyle \lim_{\Delta x \to 0^{+}} \frac{-9\Delta x}{x\Delta x(x+\Delta x)}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{-9}{x(x+\Delta x)}\\\\\\\displaystyle \frac{-9}{x(x+0)}\\\\\\\displaystyle -\frac{9}{x^2}\\\\\\$

The trick here is to first simplify the expression so that the $\Delta x$ term in the very lower denominator cancels out. This is to avoid dividing by zero. Once this division by zero error is avoided, we can replace the delta x term with 0 and evaluate the limit as $\Delta x$ approaches 0 from the right or positive direction.

5 0

3 years ago