Answer:
6ab + -3a2
Step-by-step explanation:
2ab(4a2 + 3ab - 7b2) original problem
2ab(3ab + 4a2 - 7b2) commutative property
2ab(3ab + -3a2) subtract
4 - 7 = -3
6ab + - 3a2 mulitiply
2ab x 3ab = 6ab
and that is you final expression, you can't add the last 2 numbers cause they are not like terms.
Hey there! :)
We're trying to find the slope of the line on the graph (not given, but that's okay). We're given the points (-2, 2) and (4, 0).
Using the slope equation, we simply just have to plug our points in and boom - there's your slope!
Slope equation : m = y₂ - y₁ / x₂ - x₁
Now, using our given points, we can very simply plug everything in! :)
Now, in case you didn't know which number aligns with which variable, I'll go ahead and help you out with this.
x₁ = -2 , x₂ = 4 , y₁ = 2 , y₂ = 0
Now, let's plug and chug!
m = (0 - 2) / (4 - (-2))
Simplify.
m = -2 / 4 + 2
Simplify.
m = -2 / 6
Simplify.
m = -1/3
So, our slope is -1/3.
~Hope I helped!~
Answer:
She is about 14.765 miles (
miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
- The side opposite to the right angle is called hypotenuse and it is the longest side
- The other two sides called legs of the right angle
- The relation between them is: (hypotenuse)² = (leg1)² + (leg2)²
∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
- hypotenuse is the distance between her start and end points
- leg1 is her distance in south direction
- leg2 is her distance in east direction
∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse =
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ( miles) from where she started.
First we need to know how many meters that there are in a yard which is 1meter=1.09361 yards so now we need to find out how many meters that there are in 15 yards which is 13.716 now we take that times 2 because she can make 2 out of 1 meter which is 27.432 so the seamstress here can make roughly 27 aprons from 15 yards of fabric.
Enjoy!=)
