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Goshia [24]
3 years ago
13

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in

simplest radical form.
(−5,−1) and (−3,−8)
Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

d=\sqrt{53}

Step-by-step explanation:

We need to find the distance between two points i.e. (−5,−1) and (−3,−8).

It can be calculated using distance formula as follows :

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8

Put all the values,

d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}

So, the distance between the points is equal to \sqrt{53}

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Given: <br> PQ<br> ⊥<br> QR<br> , PR=20,<br> SR=11, QS=5<br> Find: The value of PS.
dlinn [17]

Answer:

The value of the side PS is 26 approx.

Step-by-step explanation:

In this question we have two right triangles. Triangle PQR and Triangle PQS.

Where S is some point on the line segment QR.

Given:

PR = 20

SR = 11

QS = 5

We know that QR = QS + SR

QR = 11 + 5

QR = 16

Now triangle PQR has one unknown side PQ which in its base.

Finding PQ:

Using Pythagoras theorem for the right angled triangle PQR.

PR² = PQ² + QR²

PQ = √(PR² - QR²)

PQ = √(20²+16²)

PQ = √656

PQ = 4√41

Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.

Finding PS:

Using Pythagoras theorem, we have:

PS² = PQ² + QS²

PS² = 656 + 25

PS² = 681

PS = 26.09

PS = 26

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3 years ago
a crystal that is 0.12 millimeters long appears to be 60 millimeters long under a microscope what is the power of the microscope
AlladinOne [14]
The power of the microscope is x500
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Cuál es el máximo común divisor de<br>25:<br>30:​
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5

Step-by-step explanation:

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3 years ago
At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40. How much does honey cos
kondor19780726 [428]

Answer:

<u>The honey costs US$ 0.45 per ounce</u>

Step-by-step explanation:

1. Let's review the information given for solve the question:

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Weight of the honey bought by the customer = 12 ounces

2. This is the formula to find out the cost per ounce:

Cost per ounce = Cost of the honey/Weight of the honey bought by the customer

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Cost per ounce = 0.45

<u>The honey costs US$ 0.45 per ounce</u>

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3 years ago
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Answer:

1: inequality

2: solution

3: open circle

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Step-by-step explanation:

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