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coldgirl [10]
4 years ago
15

Find the distance, to the nearest tenth, from R(7, –7) to U(–3, 2).

Mathematics
1 answer:
charle [14.2K]4 years ago
4 0

Answer:

<h2>The answer is 13.5 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

R(7, –7) to U(–3, 2).

The distance between them is

|RU |  =  \sqrt{ ({7 + 3})^{2}  + ( { - 7 - 2})^{2} }  \\  =  \sqrt{ {10}^{2}  +  ({ - 9})^{2} }  \\  =  \sqrt{100 + 81}  \\  =  \sqrt{181}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 13.4536240...

We have the final answer as

<h3>13.5 units to the nearest tenth</h3>

Hope this helps you

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Just do 4x5 then add the zeros
5 0
3 years ago
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Find the value of x. Then find the missing angle measures of the polygon.
Naily [24]

The sum of the angles equals 540

There are 3 angles that measure (x - 30) and 2 angles that measure (x)

3(x - 30) + 2(x) = 540

3x - 90 + 2x = 540

5x - 90 = 540

5x = 630

x = 126

x - 30   = 126 - 30   = 96

Answer: x = 126,  x-30 = 96

8 0
3 years ago
What is the product of -2x^3+x-5 and x^3-3x-4 ? (a) Show your work
saul85 [17]

Answer:

-3x3 - 2x - 4

Step-by-step explanation:

 ((((2•(x3))+x)-5x3)-3x)-4

 (((2x3 +  x) -  5x3) -  3x) -  4

Pulling out like terms :

4.1     Pull out like factors :

  -3x3 - 2x - 4  =   -1 • (3x3 + 2x + 4)

Polynomial Roots Calculator :

4.2    Find roots (zeroes) of :       F(x) = 3x3 + 2x + 4

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  4.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2 ,4

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -1.00    

     -1       3        -0.33        3.22    

     -2       1        -2.00        -24.00    

     -2       3        -0.67        1.78    

     -4       1        -4.00        -196.00    

     -4       3        -1.33        -5.78    

     1       1        1.00        9.00    

     1       3        0.33        4.78    

     2       1        2.00        32.00    

     2       3        0.67        6.22    

     4       1        4.00        204.00    

     4       3        1.33        13.78    

Polynomial Roots Calculator found no rational roots

Final result :

 -3x3 - 2x - 4

Processing ends successfully

plz mark me as brainliest :)

8 0
3 years ago
A line passes through point A(10,15). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v
melisa1 [442]

The equation of the line in the point-slope form is y - 15 = -\frac{3}{2} (x - 10)

Step-by-step explanation:

The point-slope form of a linear equation is y-y_{1}=m(x-x_{1}) , where

  • m is the slope of the line, where m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , (x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line
  • (x_{1},y_{1}) is a point on the line

∵ Point A = (10 , 15)

∵ The x-coordinate of the second point is 125% of x-coordinate

  of point A

∴ x-coordinate of second point = \frac{125}{100} × 10

∴ x-coordinate of second point = 12.5

∵ The y-coordinate of the second point is 75% of y-coordinate

  of point A

∴ y-coordinate of second point = \frac{75}{100} × 15

∴ y-coordinate of second point = 11.25

∴ The coordinates of the second point are (12.5 , 11.25)

Let us find the slope of the line by using the rule of it above

∵ (x_{1},y_{1}) = (10 , 15)

∵ (x_{2},y_{2}) = (12.5 , 11.25)

∴ m=\frac{11.25-15}{12.5-10}=\frac{-3.75}{2.5}=-\frac{3}{2}

Now we can write the equation

∵ The point-slope form is y-y_{1}=m(x-x_{1})

∵ m=-\frac{3}{2}

∵ (x_{1},y_{1}) = (10 , 15)

- Substitute these values in the form of the equation

∴ y - 15 = -\frac{3}{2} (x - 10)

The equation of the line in the point-slope form is y - 15 = -\frac{3}{2} (x - 10)

Learn more:

You can learn more about the linear equation in brainly.com/question/4152194

#LearnwithBrainly

5 0
3 years ago
What expression is equivalent to (x+7)+3y
Marizza181 [45]

Answer: (3y) + 7+x

Step-by-step explanation:

You just flip and then their equivalent

3 0
4 years ago
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