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3 years ago

Find the distance between the points (-7,-6) and (5,-6) .

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

5 0

<u>Answer:</u>

12 units

<u>Step-by-step explanation:</u>

We are given these two points, (-7,-6) and (5,-6), and we are to find the distance between them.

We know the formula for finding the distance between two points:

<em>Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ </em>

So putting in the values of the given coordinates in the above formula to get:

Distance = $\sqrt{(5-(-7))^2+(-6-(-6))^2}$ = $\sqrt{144 + 0} =12$

Therefore, the distance between the two given points is 12 units.

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Select all the numbers that are prime

Alinara [238K]

27 = 3 × 9

35 = 5 × 7

51 = 3 × 17

So answer would be 5, 11, 31.

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3 years ago

Read 2 more answers

LaShaundra is buying fence for two triangular sections of her garden.

mixas84 [53]

Answer: 80 feet.

Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

$sf=\frac{20ft}{4ft}\\sf=5ft$

3. Therefore, the lenght of the side DG of the trinagle DFG is:

$DG=5*AC\\DG=5*7ft\\DG=35ft$

4. The perimeter of the triangle DFG is:

$P_{DFG}=20ft+25ft+35ft=80ft$

5. Therefore, she would need 80 feet of fence.

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3 years ago

Find the sum of the geometric series 9000-900 +...+ 0.009

bagirrra123 [75]

Based on the calculations, the sum of this geometric series is equal to 9,990.

<h3>The standard form of a geometric series.</h3>

Mathematically, the standard form of a geometric series can be represented by the following expression:

$\sum^{n-1}_{k=0}a_1(r)^k$

Where:

a₁ is the first term of a geometric series.

r is the common ratio.

<h3>How to calculate the sum of a geometric series?</h3>

Also, the sum of a geometric series is given by this mathematical expression:

$S=\frac{a_1(1-r^n)}{1-r}$

<u>Given the following data:</u>

First term, a = 9000.

Common ratio, r = 900/9000 = 0.1

Substituting the given parameters into the formula, we have;

$S=\frac{9000(1-0.1^3)}{1-0.1}\\\\S=\frac{9000(1-0.001)}{1-0.1}$

S = 9000(0.999)/0.9

S = 8,991/0.9

S = 9,990.

Read more on geometric series here: brainly.com/question/12630565

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2 years ago

a sample of ore is found to be 0.0015% gold and 0.034% copper. what is the percentage of matter in the ore that is neither gold

Ipatiy [6.2K]

100 - 0.034 - 0.0015 = 99.9645

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3 years ago

The driver of a 810.0 kg car decides to double the speed from 23.6 m/s to 47.2 m/s. What effect would this have on the amount of

Setler [38]

Answer:

KEi = 2.256×10^5 J
KEf = 9.023×10^5 J
4 times as much work

Step-by-step explanation:

The kinetic energy for a given mass and velocity is ...

KE = (1/2)mv^2 . . . . . m is mass

At its initial speed, the kinetic energy of the car is ...

KEi = (1/2)(810 kg)(23.6 m/s)^2 ≈ 2.256×10^5 J . . . . . m is meters

At its final speed, the kinetic energy of the car is ...

KEf = (1/2)(810 kg)(47.2 m/s)^2 ≈ 9.023×10^5 J

The ratio of final to initial kinetic energy is ...

(9.023×10^5)/(2.256×10^5) = 4

4 times as much work must be done to stop the car.

_____

You know this without computing the kinetic energy. KE is proportional to the square of speed, so when the speed doubles, the KE is multiplied by 2^2 = 4.

8 0

3 years ago