5x + 6y = 7 SUBSTITUTION METHOD
2x + 2y = 4
5x + 6y = 7 Solve for either x or y in 1 of the 2 equations.
- 6y - 6y
-----------------------
5x = -6y + 7
----- ------ ----
5 5 5
x = -6/5y + 7/5
2(-6/5y + 7/5) + 2y = 4 Substitute the expression you got for x or y into
-12/5y + 14/5 + 2y = 4 the other equation.
-2/5y + 14/5 = 4
- 14/5 - 14/5
------------------------------
-2/5y = 6/5
-------- --------
- 2/5y - 2/5y
y = -3
5x + 6(-3) = 7 Plug in the value you got for y in step 2 into the
5x - 18 = 7 equation that you didn't use.
+ 18 + 18
------------------
5x = 25
--- -----
5 5
x = 5
(x,y) ⇒ coordinate
(5,-3) ⇒ final answer
Answer:
Step-by-step explanation:
a) Yes, both are congruent.
Congruence rule: Side Angle Side - S A S
b) Yes both are congruent
S S S congruence rule
Answer:
<em>75.408 ft</em>
Step-by-step explanation:
In 20 minutes, the angle swept by a minute hand is calculated as
(20/60) x 360° = 120°
The length of the minute hand = 36 ft
To calculate the distance moved by the minute hand, we solve for the fraction of the circumference of a circle swept by the minute hand in going through this 20 min.
we use the expression
Distance moved by the tip of the minute hand d = (θ/360) x 2πR
where
θ is the angle swept in the 20 minutes = 120°
R is the length of the minute hand, which is the radius of the circle formed if the minute hand moves completely in a 360° motion round the clock.
R = 36 ft
substituting values, we have
d = (120/360) x (2 x 3.142 x 36) = <em>75.408 ft</em>
Answer:
true
Step-by-step explanation:
the powers are first, they are in alphebetical order
<h2><em><u>xoxo, </u></em></h2><h2><em><u>your highness...</u></em></h2>
Answer:
2/7
Step-by-step explanation:
this is because you can simply do the butterfly method and multiply 4 times 2 which is 8 for 2/7 and 7 times 1 for 1/4 which is 7 so 2/7 is greater than 1/4