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oksano4ka [1.4K]
3 years ago
6

Consider the line which passes through the point P(3, 1, 5), and which is parallel to the line x=1+5t,y=2+5t,z=3+1t Find the poi

nt of intersection of this new line with each of the coordinate planes:
xy-plane: ( , , )
xz-plane: ( , , )
yz-plane: ( , , )

Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

The point of intersection

(0,-14,22/5), (2,0,24/5), (-22,-24,0).

Step-by-step explanation:

Check attachment for solution

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Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared eq
Setler79 [48]

Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

5329 = 784 + 2025

5329 ≠ 2809

As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

AC = 53

Therefore, the hypotenuse is 53 units

4 0
3 years ago
Read 2 more answers
What two numbers multiplied equal -9 but add up to -6
jeka94
No numbers, is the question correct? Are you factoring?
4 0
3 years ago
Plz help ill give brainlist to you
Lelu [443]
0.4% of $4,800 is $19.2, otherwise written as $19.20 in terms of money, apparently. This is based off the calculations of a calculator, though if you prefer to do the rough work, be my guest. The work for finding it on raw work is below.

(EX.) EQUATION : y = p% × x
EQUATION : y = 0.4% 
× 4800

To make this work, you gotta convert that percent into a decimal, by dividing the percentage by 100. 0.4 ÷ 100 = 0.004

EQUATION : y = 0.004 
× 4800.

Once you multiply them, you get : 19.2 (otherwise known as $19.20)
6 0
3 years ago
A hula hoop club bought new hula hoops. The state charges 6% sales tax. If the cost for one hula hoop was $17, what was the tota
True [87]
15.98 is the answer
8 0
3 years ago
A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke
defon

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

Value of each nickel = 5 cents

Value of each dime = 10 cents

According to given statement;

x+y=253     Eqn 1

5x+10y=1595     Eqn 2

Multiplying Eqn 1 by 5

5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330

Dividing both sides by 5

\frac{5y}{5}=\frac{330}{5}\\y=66

Putting y=66 in Eqn 1

x+66=253\\x=253-66\\x=187

There are 187 nickels and 66 dimes in the jar.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/12905000
  • brainly.com/question/12918501

#LearnwithBrainly

5 0
3 years ago
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