Step-by-step explanation:
4x-x 12 plus 3
3x 15
x 15/3
x 5
b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
Answer:
distance bw 2,5 is 2 digits
and -4,7 is 11 digits
Step-by-step explanation:
Answer:
Tuesday
Step-by-step explanation:
Given:
Monday: $1
Tuesday: $2
Wednesday: $3
Thursday: $4
Friday: $5
Saturday: $6
Sunday: $7
And after 24 days he had $93
____
So lets convert 24 days into weeks. A week has 7 days we divide 24/7 and get 3.42857 weeks or just have it as 3 weeks and 3 days.
24 days = 3 weeks and 3 days
Now we want to know how much does Eli make in 1 week, we add all the numbers 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28
Eli makes $28 in one week. And (28x3) in three weeks which is $84.
Now that we know that Eli made $84 in three weeks, we have three days left - now we calculate the difference.
93 - 84 = 9
Now these 9 dollars are split into three days. This means he started on Tuesday since Saturday is $7 and Monday is $1 and that sums it up to $8 and the first dollar was placed in his piggy bank on a Tuesday.
