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Nutka1998 [239]
3 years ago
8

Find the distance between A (6,-5) and B(-2,-20)

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

17i

Step-by-step explanation:

d= (under radical sign) (x2-x1)^2 + (y2-y1)^2

plug in the numbers and simplify and youll get (again under the radical sign) (-8)^2 + (-15)^2

do the math again and youll get -289 under the radical. square root of 289 is 17 and you add the i next to it because it is negative and those numbers aren't real

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if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically
Artemon [7]

The value of x is 5/8.

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

Given,

  • The lines PQ and RS are parallel to each other.
  • slope of PQ= x-1/4
  • slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

⇒ 32x = 20

x = 20/32

x = 5/8

5 0
3 years ago
Three consecutive integers have a sum of 56. what are the three integers
denis23 [38]

Answer:

impossible

Step-by-step explanation:

X + X + 1 + X + 2 = 56. To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. ...

3X + 3 = 56. 3X + 3 - 3 = 56 - 3.

3X = 53. 3X/3 = 53/3.

X = 17 2/3. Since 17 2/3 is not an integer, there is no true answer to this problem.

8 0
3 years ago
Find x <br> Plz help me !!!
mel-nik [20]

Answer:

\Huge\boxed{x=33.2}

Step-by-step explanation:

Hello there!

We can solve for x using law of sines

As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)

So we can use this equation to solve for x

\frac{21}{sin(35)} =\frac{x}{sin(65)}

Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)

\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}

we're left with

x=\frac{21sin(65)}{sin(35)}\\x=33.18208755

assuming we have to round the answer would be 33.18 or 33.2

7 0
3 years ago
Graph f(x) = 1/2x - 3
goblinko [34]

Answer:

Plot a point at (0,-3) and (2,-2) then connect.

Step-by-step explanation:

Use y=mx +b to guide where you graph the line. b is the y -intercept and shoud be graphed on the y-axis. m represents the slope which is rise/run. To graph the line, mark -3 on the y-intercept. Then plot the next point 1 unit up and 2 units over at (2, -2).

8 0
3 years ago
Evaluate this exponential expression. 3 • (5 + 4)2 – 42 = A. 345 B. 15 C. 227 D. 46
LUCKY_DIMON [66]

The answer is C. 227

5 0
3 years ago
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