Answer:
the slope is -1
Step-by-step explanation:
the slope formula is y^2 - y^1 divided by x^2 - x^1
y^2 is 3
y^1 is 2
x^2 is 2
x^1 is 3
Answer:
there are no extraneous solutions to the equation
Step-by-step explanation:
Given
= x + 2 ( square both sides )
8x + 9 = (x + 2)² ← expand
8x + 9 = x² + 4x + 4 ( subtract 8x + 9 from both sides )
0 = x² - 4x - 5 ← in standard form
0 = (x - 5)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 5 :
=
= 7
right side = 5 + 2 = 7
left side = right side ⇒ x = 5 is a solution
x = - 1 :
=
= 1
right side = - 1 + 2 = 1
left side = right side ⇒ x = - 1 is a solution
There are no extraneous solutions
Answer:
BE = 49 cm
Step-by-step explanation:
Use Pythagorean theorem
(hypotenuse)² = (base)² + (leg)²
ΔDEF,
DE² + EF² = FD²
DE² + 63² = 65²
DE² + 3969 = 4225
DE² = 4225 - 3969
DE² = 256
DE = √256 = √(16*16)
DE = 16 cm
ΔCBD,
BC² + BD² = CD²
56² +BD² = 65²
3136 + BD² = 4225
BD² = 4225 - 3136
BD² = 1089
BD = √1089 = √(33*33)
BD = 33 cm
BE = BD + DE
= 33 + 16
BE = 49 cm
1 pt; or 1 pint seems most reasonable here.
To find the first number, just multiply the three numbers together.

To find the second number, multiply the three numbers together along with another number (this number can be anything).

<u>What They Have in Common:
</u><u />- All numbers will be even, since you are multiplying by 2.
- All numbers will end in a zero, since you are multiplying by 5 and also 2.