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Leno4ka [110]
1 year ago
5

For what value of x is r(x)= -21??

Mathematics
1 answer:
Naily [24]1 year ago
4 0

Answer:

Rx= - 21

Rx/r= - 21/r

X=-21/r

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Can someone please explain how the answer is D
Kitty [74]

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

x =  |sx - tx|  \\ y =  |sy - ty|

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

{c}^{2}  =  {x}^{2}  +  {y}^{2} \\  {c}^{2}  =  {8}^{2}  +  {17}^{2} = 64 + 289  \\  {c}^{2}  = 353 \\ c =  \sqrt{353}

And finally, the correct answer is in fact 353.

3 0
2 years ago
points a,b and c are collinear on AC, and AB:BC=3/4. A is located at (x,y), B is located at (4,1), and c is located at (12,5). w
olga_2 [115]
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:

We use the distance formula to find the distance between coordinates:

3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²]  = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28  --> eqn 1

The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2

Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1

So, the second equation is

y = 1/2x -1 or x = 2 + 2y --> eqn 2

Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28 
Solving for y, 
y = -2
x = 2+2(-2) = -2

Therefore, the coordinates of point A is (-2,-2).

5 0
3 years ago
Read 2 more answers
Divide 128 chairs among 3 rooms in the ratio of 1 : 3 : 4.​
Alex_Xolod [135]

Answer:

Step-by-step explanation:

1x+3x+4x= 128

8x=128

x=128/8

x=16

therefore,

room 1 = 1x

           = 1*16=16

room 2 = 3x

            =3*16=48

room 3 = 4x

            =4*16=64

PLS MARK BRAINLIEST, THNX

6 0
2 years ago
NEED HELP ASAP:
zepelin [54]

Answer:

2035.8  (approximately)

6 0
3 years ago
Read 2 more answers
Please help me with this wirk​
user100 [1]
I can’t answer this question because I can’t see the model
7 0
2 years ago
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