1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Julli [10]
3 years ago
8

Show that (-3, 2) (1, -2) and (9, -10) are collinear? ​

Mathematics
1 answer:
elixir [45]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

<em>See attached</em>

<h3>Given points:</h3>
  • (-3, 2), (1, -2) and (9, -10)
<h3>Method 1</h3>
  • Plot points on a graph and connect them, if they make a straight line, then they are collinear
<h3>Method 2</h3>
  • Chose 2 pairs of points and find a slope, if slopes are equal then they are collinear
  • m1 = (-2 - 2)/(1+3) = -1
  • m2 = (-10 +2)/(9 - 1) = -1

You might be interested in
Complete the table for the given rule. Rule: y= x-5<br><br> x y<br> __=7<br> __=25<br> 15=__
Advocard [28]
12. 30. 10. JSU’s sh
5 0
3 years ago
Solve for b2 in A = 1/2 h(b1+b2), if A = 16, h = 4, and b1 = 3. 16= 1/2* 4(3+b2) =6+2b2 or, b2= [16-6]/2= 5
Tatiana [17]
Assuming you are referring to the area of a "trapezoid"; in which one calculates the Area, "A", as follows:
________________________
<span> A = 1/2* h(b1+b2) ;

in which: A = Area = 16 (given); 
               h = height = 4 (given);
               b1 = length of one of the two bases = 3 (given);
               b2 = length of the other of the two bases = ? (what we want to solve                                                                                            for) ;
______________________________________________________
Using the formula: </span>A = 1/2 h(b1+b2) ;
________________________________
Let us plug in our known values:
___________________________
 →  16 = (1/2) * 4*(3 + b2) ;  → Solve for "b2".
________________________________
 →Note: On the "right-hand side" on this equation: "(1/2)*(4) = 2 ." 
________________________________
 So, we can rewrite the equation as:
________________________________
 → 16 =   2*(3 + b2) ;  → Solve for "b2".
________________________________
We can divide EACH side of the equation by "2"; to cancel the "2" on the "right-hand side" of the equation:
________________________________
 → 16 / 2 =   [2*(3 + b2)] / 2  ;  → to get:
___________________________
8 = (3 + b2) ;
_________________
 → Rewrite as: 8 = 3 + b2;
_______________________
Subtract "3" from EACH side of the equation; to isolate "b2" on one side of the equation; and to solve for "b2" :
______________________________
 → 8 - 3 = 3 + b2 - 3 ;  → to get:
_____________________
b2 = 5;  From the 2 (TWO) answer choices given, this value,
"b2 = 5", corresponds with the following answer choice:
____________________
b2= [16-6]/2= 5 ; as this is the only answer choice that has: "b2 = 5".
<span>_________________________________________

As far getting "</span>b2 = 5"  from: "b2= [16-6]/2= 5"; (as mentioned in the answer choice), we need simply to approach the problem in a slightly different manner.  Let us do so, as follows:
<span>_____________________________________
Start from: </span>A = 1/2 h(b1+b2); and substitute our known (given) values):<span>
________________________
</span>→ 16 = (1/2) *4 (3 + b2) ; → Solve for "b2".
_____________________________
Note that: (½)*4 = 2;  so we can substitute "2" for: "(1/2) *4" ; 
and rewrite the equation as follows:
_________________________
→ 16 = 2 (3 + b2) ;
____________________
Note: The distributive property of multiplication:
_________________________
a*(b+c) = ab + ac ;
_________
As such: 2*(3 + b2) = (2*3 + 2*b2) = (6 + 2b2). 
_________________
So we can substitute: "(6 + 2b2)" in lieu of "[2*(3 + b2)]"; and can rewrite the equation:
______________________
→ <span>16 = 6 + 2(b2) ; Now, we can subtract "6" from EACH side of the equation; to attempt to isolate "b2" on one side of the equation:</span>
<span>________________________________________________
 </span>→ 16 - 6 =  6 + 2(b2) - 6 ;
      → Since "6-6 = 0"; the "6 - 6" on the "right-hand side" of the equation cancel.
→ We now have: 16 - 6 = 2*b2 ; 
___________
Now divide EACH SIDE of the equation by "2"; to isolate "b2" on one side of the equation; and to solve for "b2":
____________________
   → (16 - 6) / 2 = (2*b2) / 2 ; 
     → (16 - 6) / 2 = b2 ;
       → (10) / 2 = b2 = 5.
______________
NOTE: The other answer choice given: 
_____________
"<span>16= 1/2* 4(3+b2)= 6+2b2" is incorrect; since it does not solve for "b2".</span>
3 0
3 years ago
Read 2 more answers
How many rays intersect at point O<br><br> 1. 5<br> 2. 4<br> 3. 6<br> 4. 3
stiks02 [169]
For this case, what you should see is which lines contain point O.
 We have then that the lines that contain this point are:
 EC
 AD
 BO
 We note that three lines contain point O.
 Therefore, three lines intersect at the same point.
 Answer: 
 4. 3
8 0
4 years ago
Read 2 more answers
9d + 4 = 2d + 53<br> Can someone tell me what d stands for?
lara31 [8.8K]

Answer:

d=7

Step-by-step explanation:

To find d youll have to find it. 9d + 4 = 2d + 53 minus 2d on both sides> 7d+4=53 now minus 4 on both sides> 7d=49 divide 49/7 > d=7

7 0
4 years ago
A sum of Rs 135 is divided into two parts. If the greater part exceeds the smaller by Rs 25,find the parts of the sum.
Alchen [17]

The parts of the sum are 55 and 80.

Step-by-step explanation:

Let,

'x' be the smaller part and

'y' be the greater part of the number.

The sum is x+y = 135.   --------(1)

The greater part y = x+25.  ---------(2)

Substitute (2) in (1),

⇒ x+(x+25) = 135

⇒ 2x+25 = 135

⇒ 2x = 110

⇒ x= 110/2

x = 55

The smaller part is 55.

Substitute x=55 in (2)

y = 55+25 = 80

The greater part is 80.

8 0
4 years ago
Other questions:
  • What is the m<br> Help me please :(
    11·1 answer
  • Melba rode her bike 7/8 Mike in 1/4 hour. What is the u it rate in mikes per hour?
    6·1 answer
  • 5/4 divided by 2 3/8
    6·2 answers
  • in the school chorus 4/24 Students are fourth graders in simplest form what fraction of the students in school Chorus are fourth
    13·2 answers
  • You're studying different function tools and begin working with this function: y=-200-6(x) Use the equation to answer the questi
    10·2 answers
  • Write 9/12 as the product of a whole number and a unit fraction
    11·2 answers
  • Please help!!!! With this problem
    11·1 answer
  • If a $450 suit is on sale for $250, what is the discount rate (to the nearest percent)?
    10·1 answer
  • The area of the patio is 216 square feet. Write an equation that represents the area of the patio
    13·1 answer
  • Find the distance between points A and B.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!