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Hoochie [10]
3 years ago
13

Twice the difference between x and k

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0
Twice the difference between x and k is 2(x-k)
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Find the midpoint M of the line segment joining the points A = (-5, 7) and B = (-1, -5).
11111nata11111 [884]

Answer:

M = (-3,1)

Step-by-step explanation:

We need to find the midpoint M of the line segment joining the points

A = (-5,7) and B = (-1, -5)

The mid point of the line segment joining the points (x₁,y₁) and (x₂,y₂) is given by :

M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\M=(\dfrac{-5+(-1)}{2},\dfrac{7+(-5)}{2})\\\\M=(-3,1)

Hence, the required point is (-3,1).

6 0
3 years ago
Which expression is equivalent to<br> ва ?<br> o areks<br> 22<br> зев<br> обек<br> 22<br> 34
anyanavicka [17]

Answer:

22

Step-by-step explanation:

it is epuivalet

5 0
3 years ago
Read 2 more answers
Please answer question three and four if you can :)<br> Show full working out ty;)
nikklg [1K]

Step-by-step explanation:

3

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

D = ( \frac{2 + 5}{2},  \:  \:  \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \:  \:  \frac{ 1}{2} ) \\ \therefore D= (3.5, \:  \: 0.5) \\  \& \: A=(-1,\:\:4)...(given) \\\\  now \: by \: distance \: formula \\  \\ Length  \: of \:  segment  \: AD \\  =  \sqrt{( - 1 - 3.5)^{2}  +  {(4 - 0.5)}^{2} }  \\ =  \sqrt{(4.5)^{2}  +  {(3.5)}^{2} }  \\ =  \sqrt{20.25 + 12.25 }  \\  =  \sqrt{32.5}  \\    \red{ \boxed{\therefore Length  \: of \:  segment  \: AD  = 5.7 \: units}}

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0
3 years ago
5. This diagram of a baseball field is composed of a square, a semicircle, and a quarter
mart [117]

Answer:this one is hard

Step-by-step explanation:

4 0
3 years ago
I Need help please :&gt;
Bezzdna [24]
1. What is the total mass of the items in the wheel barrow?
9300g


2. What’s the mass of items, in kg, left in the barrow?
4.9kg
5 0
3 years ago
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