Answer:
Step-by-step explanation:
To find a line that is perpendicular to 8x + 3y = -6 and goes through (-24, 2), lets first find what the line's slope would be.
We can find this by finding the slope of 8x + 3y = -6 and taking the negative reciprocal of it.
We can find the slope of that line by putting it in slope-intercept form:
8x + 3y = -6
Subtract 8x from both sides.
3y = -6 - 8x
Divide both sides by 3.
So the slope of that line would be -8/3.
The negative reciprocal of -8/3 would be 3/8.
Now we know that the new line would have to pass through the point (-24, 2). We can use this point and write the equation in point-slope form:
Now lets change this into slope-intercept form. Add 2 to both sides.
Distribute the 3/8.
Simplify.
And now we have our equation in slope-intercept form.
I hope you find this helpful.
4/5 = ?/45
5 times 9 = 45.
What we do to the denominator must be done to the top, as well. 4 times 9 = 36.
So, the missing number is 36.
Answer:
Step-by-step explanation:
a). Stock price arranged as arithmetic sequence will be,
5, 8, 11, 14
b). Since, explicit formula of an arithmetic sequence is given by,
Here, 
= nth term of the sequence
a = first term
n = number of term
d = common difference
From the table attached,
First term of the sequence 'a' = 5
Common difference 'd' = 8 - 5 = 3
Therefore, explicit formula for the given sequence will be,
c). Slope intercept form of the equation will be,
y = 3x + 2
d). Input out values for the graph of the given equation,
x 0 1 2 3
y 2 5 8 11
By using this data we can graph the line.
Answer:
2/5 = 6/15
1/3 = 5/15
Step-by-step explanation:
LCD of 5 and 3 is 15.
So 2/5 = 2*3/15 = 6/15
and
1/3 = 5*1 / 15 = 5/15
Step-by-step explanation:
3 rows of corn provided 270 ears.
therefore 1 for provides 270/3 = 90 ears
so, to get 360 ears of corn, we need 360/90 = 4 rows of corn.
