the answer is CD m=y2-y1/x2-x1
m= 10-2/4-6= 8/-2=-4
If 2 segments are parallel they have 2 have same slope
Answer:
(-6,7)
Step-by-step explanation:
The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).
Answer:
3⁸ or 6561
Step-by-step explanation:
First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
There are no parentheses, so let's solve the exponents.
3² • 9³
3² = 9
9³ = 729
Your expression is:
9 • 729
Now let's multiply.
= 6561
This number can also be expressed with exponents.
Since 9 = 3², 9³ = 3²⁽³⁾
Now your expression is:
3² • 3²⁽³⁾
First, solve the exponents by multiplying.
3² • 3⁶
When you multiply two expressions with exponents that have the same base (3), you add the exponents.
3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸
3⁸ also equals 6561.
Your answer is 3⁸ or 6561.
Hope this helps!
Answer:
The two costs will be the same at 12 pounds.
Step-by-step explanation:
Let p be the number of additional pounds.
UPS cost = 7 + 0.15p
FedEx cost = 6 + 0.25p
Make them equal
7 + 0.15p = 6 + 0.25p
0.10p = 1
p = 10
So, total weight for the cost to be equal is 12.
UPS Cost = 8.50
FedEx Cost = 8.50
AD=DC, because BD is a bisector of AC.
BD is in common.
AD and BD are perpendicular, and so are DC and BD, because BD is perpendicular to AC.
AB^2 = AD^2+BD^2 because ABD is right
BC^2 = DC^2+BD^2 because BDC is right
AB=BC because AD=DC
So, AD=DC, AB=BC and BD is common, and the triangles are congruent.