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Tanya [424]
2 years ago
12

What is the distance between the points G(−5, 4) and H(2, 6)?

Mathematics
1 answer:
iris [78.8K]2 years ago
4 0

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ G(\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad H(\stackrel{x_2}{2}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ GH=\sqrt{[2-(-5)]^2+[6-4]^2}\implies GH=\sqrt{(2+5)^2+(6-4)^2} \\\\\\ GH=\sqrt{7^2+2^2}\implies GH=\sqrt{49+4}\implies GH=\sqrt{53}\implies GH\approx 7.28

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3/4 (x +21) = 10 1/2<br> What does x equal?
Elena L [17]

Answer:

\huge \boxed{ \boxed{ \red{x  =  - 7}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • equation
  • PEMDAS
<h3>let's solve:</h3>
  1. \sf distribute :  \\  \frac{3 x+ 63}{4}  =  10\frac{1}{2}
  2. \sf simplify \: mixed \: fraction :  \\  \frac{3x + 63}{4}  =  \frac{21}{2}
  3. \sf cross \: multipication :  \\ 2(3x + 63) = 84
  4. \sf distribute \: 2 :  \\ 6x + 126 = 84
  5. \sf cancel \: 126 \: from \: both \: sides :  \\ 6x + 126 - 126 = 84 - 126 \\ 6x =  - 42
  6. \sf divide \: both \: sides \: by \: 6 :  \\  \frac{6x}{6}  =  \frac{ - 42}{6}  \\  \bcancel{\frac{6x}{6} } =  \frac{ \cancel{ - 42}  \: ^{ - 7} }{  \cancel{ \: 6}}  \\   \therefore \: x =  - 7
3 0
3 years ago
Read 2 more answers
Evaluate f(-12) given f(x) = -21x - 12
frozen [14]

Answer:

The answer for the given function is f( -12 ) = 240.

Step-by-step explanation:

Given:

f(x)=-21x-12

To Find :

F ( -12 ) = ?

Solution:

Function:

  1. A function is like a machine that gives an output for a given input.
  2. A function has an independent variable which is called the input of the function.
  3. The output for a given input is called the dependent variable.

For Example

f ( x ) = x + 3

x = independent variable

f ( x ) = Output for a given input

Here we have

f(x)=-21x-12\\Put\ x=-21\\\therefore f(-12) = -21\times -12 - 12\\\therefore f(-12) = 252 - 12\\\therefore f(-12) = 240

Therefore f(-12) = 240

8 0
3 years ago
Read 2 more answers
What happens as the triangle goes from obtuse to acute
jeka57 [31]

Answer:  the degree will go down 90 degrees

Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.

7 0
2 years ago
Perpendicular to the line -2x+y=1; contains the point (-2,-4); what is the equation of the line?
Damm [24]
The equation is y= -1/2 x -5
6 0
3 years ago
How is this solved please help anyone
irina [24]

h = 2 \\ 6x + 18 = 2(3x + 9) \\ 6x + 18 = 6x + 18 \\ 18 = 18 \: always \: true
5 0
3 years ago
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