Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
Answer:
102 minutes=1 hour and 42 minutes
6:45+1 hour and 42 minutes=8:27 p.m.
hence, the answer is 8:27 pm
hope this helped.
Answer:
The answer is 144
Step-by-step explanation:
*The side with the middle length is 12cm, therefore BC must be 12 cm
------------------------------------------------------------<span>
Ratio
------------------------</span>---------------------------------<span>--
BC:AC:AB
4 : 3 : 5
</span>-----------------------------------------------------------
<span>Find 1 share
</span>-----------------------------------------------------------<span>
Given that BC = 12 cm
4 shares = 12 cm
1 share = 12 ÷ 4 = 3cm
</span>-----------------------------------------------------------
Find AC (4 shares)
-----------------------------------------------------------<span>
3 shares = 3 x 3 = 9 cm
BC = 9cm
</span>-----------------------------------------------------------
<span>Find AB (5 shares)
</span>-----------------------------------------------------------<span>
5 shares = 5 x 3 = 15cm
AB = 15cm
</span>------------------------------------------------------------
Length
-----------------------------------------------------------
BC : AC : AB
12cm : 9cm : 15cm<span>
---------------------------------</span>---------------------------------<span>
Perimeter
</span>------------------------------------------------------------------
<span>12 + 9 + 15 = 36cm
</span>------------------------------------------------------------------
<span>Answer: The perimeter is 36cm
</span>------------------------------------------------------------------<span>
</span>------------------------------------------------------------------
<span>Area
</span>------------------------------------------------------------------
1/2 x 9 x 12 = 54cm²<span>
</span>------------------------------------------------------------------
Answer: Area = 54cm²
------------------------------------------------------------------<span>
Given that the biggest ratio is AB
</span>⇒AB is the hypotenuse
AB = 15 cm
------------------------------------------------------------------
Answer: Hypotenuse = AB = 15cm
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