Answer:
y = (-2/3)x +1
Step-by-step explanation:
The standard equation of a line is: y=mx+b where m-is the slope, and b-is the y intercept. Rewrite the given equation in standard form.
3x+2y = 6
2y = 3x+6
y= (3/2)x+3
So the given equation has the slope m =3/2 and y-intercept= 3
A line ⊥ to the given line will have the slope <u>negative reciprocal </u>so the line is
y= (-2/3 )x +b
To find b will substitute the given point (6,-3) in the new found equation
-3= (-2/3 )6 +b
-3= -4 +b
-3+4 = b
1 = b
The equation of the line that is perpendicular to the graph of 3x+2y=6 and contains the point (6,-3) is y = (-2/3)x +1
Answer:
The difference of the profit of two companies is $ 417
Step-by-step explanation:
Given as :
The company A loss amount in January = $ 255
The company B profit amount in January = $ 162
Let the difference between there profits = x
So, x = company B profit - ( company A profit)
I.e x = company B profit - ( - company A loss)
Or, x = $ 255 + $162
∴ x = $ 417
Hence The difference of the profit of two companies is $ 417 . Answer
Answer:
38°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (119 + 23) = missing angle
180 - (142) = missing angle
38 = missing angle
So, the missing angle has a measurement of 38°
Answer:
Step-by-step explanation:
Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:
3x² + 7x - 20
The number outside the box is the number we are dividing into this original polynomial. This is a number in solution form. That means that x = -4. If
x = -4 is a solution, then the factor is (x + 4) = 0.
The numbers in the very bottom row are the coefficients of what is called the depressed polynomial, and this depressed polynomial is one degree less than the degree with which we started. So this depressed polynomial is a linear one (first degree, which is a line). The very last number in this bottom row is the remainder. If the remainder is 0, then -4 is a solution of the polynomial, it is also a 0, and (x + 4) is a factor of the polynomial. Our remainder is a 0.
So putting that all together gives us the answers as A, C, and E are our choices.
