Answer:
Points P ( 4 , - 7 ) and Q ( 1 , 5 ) belong to the equations:
1 ; 4 ; and 5
Step-by-step explanation:
Equations 1 ; 4 and 5 are the same equation
Equation 1 y = - 4*x + 9
Equation 4
y + 7 = - 4 * ( x - 4 ) ⇒ y + 7 = - 4*x + 16 ⇒ y = - 4*x - 7 + 16
y = -4*x + 9
Equation 5
4*x + y = 9 ⇒ y = - 4*x + 9
Now for the equation y = - 4*x + 9
P ( 4 , -7)
For x = 4 y = - 4*(4) + 9 ⇒ y = - 16 + 9 ⇒ y = - 7
Then point P is in the line y = - 4*x + 9
Point Q (1 , 5 )
For x = 1 y = - 4 * ( 1) + 9 ⇒ y = - 4 + 9 ⇒ y = 5
Point Q is in the line y = - 4*x + 9
Equation 2
y = - 4*x - 23
Point P ( 4 , - 7 )
For x = 4 y = 16 - 23 y = - 7
Point P is in the line
Point Q
For x = 1 y = - 4 *(1) - 23 ⇒ y = - 27
Then poin Q is not in the line
Equation 3
y - 1 = - 4 * ( x - 4 )
y - 1 = -4*x + 16 ⇒ y = - 4*x + 17
Point P ( 4 , - 7 )
For x = 4
y = - 16 + 17 ⇒ y = 1
Point P is not in the line
And Point Q ( 1 , 5 )
For x = 1
y = - 4* ( 1 ) + 17 ⇒ y = 13 Q is not in the line
Answer:
3
Step-by-step explanation:
To turn the word problem into an equation, when we read:
"I am thinking of a number" we write "x"
"when I double my number" we write "2x"
"and then subtract the result from 5" we write "5 - 2x"
"I get negative one" we write "-1 = 5 - 2x"
Now we solve for the number, which is x.
<em>Equation: </em>-1 = 5 - 2x
-1 = 5 - 2x
subtract 5 from both sides
-6 = -2x
divide both sides by -2
3 = x
<h3>
There we go! The number is </h3><h2>
3</h2>
Answer:
thou answer is gonna be 20.8
I'm not 100% sure, but I think it is A - Reflectional symmetry
I think it's Reflectional symmetry because If you look at the body of the butterfly, there is an implied vertical symmetry line right through the body.
This line makes the left image look mirrored to the image on the right.
Hope this helps :))