Answer:
y=-4x-14
Step-by-step explanation:
Lines that are parallel would have the same slope, so the slope is
m= -4
Use point slope equation to solve for the slope intercept equation.
y-y1=m(x-x1)
m= -4
x= -3
y= -2
y-(-2)=-4(x-(-3))
y+2=-4x-12
y=-4x-14
Answer:

Step-by-step explanation:
The lab technician is dividing a cell that has a diameter of

The new cells has a diameter that is half of the diameter of the original cell.
The diameter of the new cell is given as:

Rewrite the numerator in standard notation:


We rewrite in scientific notation to obtain:

Answer:
35%
Step-by-step explanation:
Find the percent by dividing 98 by 280
98/280
= 0.35
So, 98 is 35% of 280
The picture shows the answer I got!
Also! For the future, I use a site called
math way and it is great for problems like these.
Answer:
(-21, 16)
Step-by-step explanation:
A is at (-33, 0) and B is at (0, 44),
A point that divides the line segment in a ratio of 4:7 also divides the differences of the x-and y-coordinates in the same ratio.
If we divide each distance into 11 equal parts and choose a length 4/11 of the distance, the other part will be 7/11 of the distance. The two parts will be in a ratio of 4:7.
For the x-coordinate,
x₂ - x₁ = 0 - (-33) = 0 + 33 = 33
(4/11) × 33 = 12
-33 + 12 = -21
The x-coordinate of M is (-21, 0).
For the y-coordinate,
y₂ - y₁ = 44 - 0 = 44
(4/11) × 44 = 16
0 + 16 = 16
The y-coordinate of M is (0, 16).
The coordinates of M are then (-21, 16).
The diagram below shows the point M that divides AB in a 4/7 ratio.