We have a line y = 1/3x -6
We want a line that is perpendicular to this line
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
3 * 1/3 *m = -1 * 3
m = -3
The slope of the perpendicular line is -3
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
We have a point on the line ( 7 ,-23)
Substitute this point into the equation
-23 = -3(7)+b
-23 = -21+b
Add 21 to each side
-23+21 = -21+21+b
-2 = b
y = -3x-2
In slope intercept form, the line perpendicular passing through (7,-23) is
y = -3x-2
Do 2x6=12×3 since there is 3 packages 2 rows and 6 in each row
Answer:
see explanation
Step-by-step explanation:
Given
2x + 7y = 42
To find the x- intercept let y = 0 in the equation and solve for x
2x + 7(0) = 42, that is
2x = 42 ( divide both sides by 2 )
x = 21 ← x- intercept or (21, 0 )
To find the y- intercept let x = 0 in the equation and solve for y
2(0) + 7y = 42 , that is
7y = 42 ( divide both sides by 7 )
y = 6 ← y- intercept or (0, 6 )
Answer:
7/36
Step-by-step explanation:
1 die has 6 faces
When two dice are rolled, the total number of outcomes
= 6 × 6 = 36
The Probability of having(5) =
(1 & 4), (2 & 3) , ( 3 & 2), (4 & 1)
= 4
The probability of having (10) =
(5 & 5), (4 & 6) , ( 6 & 4)
= 3
The probability that the score on the dice is either 5 or 10.
P(5) + P(10)
= 4/36 + 3/36
= 7/36
Answer:
Step-by-step explanation:
7w+w-15=17
8w=17+15 add like terms
8w=32 divide
w=32/8=4
now check
7*4+4-15=17
28+4-15=17
17=17
