Answer:
y = -3x
Step-by-step explanation:
The standard expression of equation of a line in slope-intercept form is expressed as;
y = mx+c
m is the slope
c is the intercept
Given
slope m = -3
Point (x, y) = (-1, 3)
x = -1 and y = 3
Get the intercept
To get the intercept c, we will substitute the given values into the equation above to have;
y = mx+c
3 = -3(-1)+c
3 = 3 + c
c = 3-3
c = 0
Substitute m = -3 and c = 0 into the equation above;
y = mx+c
y = -3x+0
y = -3x
Hence the required linear equation is y = -3x
Step-by-step explanation:
Answer:
720 pounds
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Number of mangoes in a barrel = 400
Each mango weight = 1.8 pounds
So, we can calculate the total weight of mangoes by using following formula,
Total weight = Number of mangoes in a barrel × Each mango weight
By putting value, we get
Total weight = 400 × 1.8 pounds
= 720 pounds
Answer:
in mathematics, the sine is a trigonometric function of an angle.
Step-by-step explanation:
The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
Fixed point: 0
Critical point: kπ + π/2
Inflection point: kπ hope this helps you :)
Q' = (7, 2 ) and R' = (1, - 5 )
given P(- 4, 4 ) and P'(3, 1 ), then the translation vector is
v = < 3, 1 > - < - 4, 4 > = < 7, - 3 >
Thus to obtain the coordinates of the images, add 7 to the x-coordinate and subtract 3 from the y-coordinate
Q(0, 5 ) → Q'(0 + 7, 5 - 3 ) → Q'(7, 2 )
R(- 6, - 2 ) → R'(- 6 + 7, - 2 - 3 ) → R'(1, - 5 )
Answer:
Step-by-step explanation:
Increased amount = 3 - 2.50 = $ 0.50
Increase percentage = 
= 5 *4
= 20%
