A line passes through point (-2, 5) and has a slope of 2/3. Points A(x, 3) and B(-2, y) lie on the line. the value of x is ___, the value of y is ___.
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y = 2/3x +c Substitute the slope (m) in
5 = 2/3(-2) +c Substitute the point (-2,5)
5 = -4/3 +c Make C the subject
c = 19/3
y = 2/3x + 19/3 This is the equation of the line.
Next you start subbing the points A and B in separately, using the same equation.
Subbing A(x, 3)
3 = 2/3x + 19/3 Make x the subject to find it.
-10/3 = 2/3x
-5 = x
The point A is (-5,3)
Subbing B(-2, y)
y = 2/3(-2) + 19/3 y is already the subject and you just solve it
= -4/3 + 19/3
y = 5
The point B is (-2, 5)
I hope this helped you, I have also attached a photo of the written work! I'm also sorry if the answer isn't correct... >-<
Answer:
(x) = -5 (y) = 5
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Fill in the common equivalents. 1.) 662/3% = ?/?
Answers
Answers
Step-by-step explanation:
for this the Pythagoras equation must be true :
c² = a² + b²
c is the Hypotenuse the dude opposite of the right angle in a right-angled triangle.
as such it had to be the longest side.
so, c = 26
and we get
26² = 24² + 25²
676 = 576 + 625 = 1201
wrong, 1201 is not equal to 676, so, 24, 25, 26 are NOT a pythagorean triplet.
theinitialstatementisfalse.
what is it as a fraction and decimal
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I don't wish to answer this question at this time.
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2x = 30
x = 15
50x + 25(30 - x) = 1225
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Fare for each child = 0.25 dollars
Total number of passengers = 30
Total amount paid for the trip = 30 dollars
Lat us assume the number of adults = x
Then
The number of children = 30 - x
So
0.50x + 0.25(30 - x) = 12.25
50x + 25(30 - x) = 1225
This is the right way of setting up the equation and you have done it correctly.
25x + 50x = 30(1225) is the equation that wouldn't work
Step-by-step explanation:
Given,
Total passenger = 30
There can be only two cases,
Case 1 : Let x be the number of adults,
So, the number of children = 30 - x,
Since, the total fare is $12.25 or 1225¢ ( 1 dollar = 100 cents ) in which 50¢ is for each adult and 25¢ is for each child,
⇒ 50x + 25(30 - x) = 1225,
Case 2 : let x be the number of children,
So, the number of adult = 30 - x,
The equation would be,
⇒ 50(30 - x) + 25x = 1225
Hence, the equations that could not be used to solve the given problem is,
25x + 50x = 30(1225)
Step-by-step explanation:
Answers
The value of g(-4) is 1. The correct option is C
What is a Piece-Wise Function?
A function that has a different sub-function for different intervals of the domain is called Piece-Wise Function
The functions for the different interval is
g(x)= , x ≤ -4
= -x² +11 , x > -4
The value of g(-4) will be determined by using g(x)=
Substituting the value x = -4
g(x) =
g(x) = ∛1
g(x) = 1
Therefore, The value of g(-4) is 1. The correct option is C
To know more about piece-wise function
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