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.
Answer:
n≥15
Step-by-step explanation:
3n≥45
/3 /3
n≥15
ΔABC is similar to ΔDEF
Try to pair up all the similar sides.
AB = 15 cm
DE = ? cm
BC = 18 cm
EF = 6 cm
Now all you have to do is find out how the triangles are similar.
18/6 = 3
This means that triangle ABC is 3 times bigger than DEF.
15/3 = 5
So the answer is:
B. 5 cm
Answer:
Step-by-step explanation:
Second term = -12; d = 5
First term = -12 - 5 = -17
nth term = a + (n-1)*d
= -17 + (n-1)*5
= -17 + 5n - 5
= -22 + 5n
Answer:
none
Step-by-step explanation:
just none