Answer:
Step-by-step explanation:
You need to tell us more than that to answer it
A = 8i + 6j
b = 4i + 5j
ab = (8i + 6j)(4i + 5j)
ab = 8i(4i + 5j) + 6j(4i + 5j)
ab = 8i(4i) + 8i(5j) + 6j(4i) + 6j(5j)
ab = 32i² + 40ij + 24ij + 30j²
ab = 32i² + 64ij + 30j²
ab = <32, 30>
The answer is D.
Answer:
y = -4x-21
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.
Parallel lines have the same slopes. So let's find the slope of y=-4x-1.
The line is written in the form y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.
It's also the slope of the line parallel to that line.
Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).
We can substitute those values into the formula for point-slope form, which is
, where m is the slope and
is a point.
We can label the values of everything to help us avoid confusion.
m=-4
![x_1=-4\\y_1=-5](https://tex.z-dn.net/?f=x_1%3D-4%5C%5Cy_1%3D-5)
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
![y--5=-4(x--4)](https://tex.z-dn.net/?f=y--5%3D-4%28x--4%29)
Now simplify.
![y+5=-4(x+4)](https://tex.z-dn.net/?f=y%2B5%3D-4%28x%2B4%29)
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!
Answer:
Area of sphere is given by
·
· ![r^2](https://tex.z-dn.net/?f=r%5E2)
Step-by-step explanation:
The surface area of sphere is given by:
·
· ![r^2](https://tex.z-dn.net/?f=r%5E2)
Option C and D are correct but is missing in the options
Option A and B are incorrect.
to solve the area of sphere when radius is given a constant value.
Answer:
D
Step-by-step explanation:
The diagramatic representation of the life cycle of a darkling beetle is shown in the attached file below.
The metamorphosis of the darkling bettle takes four stages:
egg → larva → pupa→ adult
After laying the eggs by an adult darkling bettle, the eggs are encased in a fluid-like covering to prevent it from damage as a result of environmental factors. The egg metamorphosize into the larva stage; a period of feeding and growth. They then in turn proceed into the pupa stage where they are being enclosed in a cocoon. In the cocoon, they undergo modifications and become sexually matured before they enters into adulthood.
Thus, the stage that represent the change fromm larva to adult is the pupa stage and it is shown in the diagram as option D