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wariber [46]
2 years ago
12

What are the x and y- intercepts for the line 4(y+3)=−2(x+6)?

Mathematics
1 answer:
Elodia [21]2 years ago
5 0
X - intercepts y = 0, then 
<span>4(0+3)=−2(x+6)
12 = -2x -12
2x = -24
x=-24/2
x = -12

</span>y- intercepts x = 0 then
4(y+3)=−2(0+6)
4y +12 = -12
4y = -24
y = -24/4
y = -6
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Type the correct answer in the box. Round off your answer to the nearest integer.
Mkey [24]

Answer:

∠ p ≈ 59°

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABD to find DB

DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )

DB = \sqrt{61}

---------------------------------------

Using the cosine ratio in right triangle DBC

cos p = \frac{adjacent}{hypotenuse} = \frac{DC}{DB} = \frac{4}{\sqrt{61} } , thus

p = cos^{-1} ( \frac{4}{\sqrt{61} } ) ≈ 59°

6 0
3 years ago
here is my question: Find the rule which gives the number of matchsticks required to make the following matchstick patterns?
kipiarov [429]
Number of matchsticks required is 2. Rule which matchstick pattern is 2 x n.
5 0
2 years ago
Ineed help help me please
melamori03 [73]
The symbol ₁₂P₉ represents the permutations of 9  quantities out of 12.
By definition,
_{12}P_{9} =  \frac{12!}{(12-9)!} = \frac{12!}{3!}

From the calculator,
12! = 479,001,600
3! = 6

Therefore
₁₂P₉ = 479001600/6 = 79,833,600

Answer: 79,833,600
8 0
3 years ago
PLZ ANSWER ASAP!!!
ruslelena [56]
One because if you look at the graph you go to 3 and there is only one.
4 0
2 years ago
Read 2 more answers
X/2 - y/3 = 3/2<br>X/3 + y/2 = 16/3
Ivenika [448]
X/2-y/3=3/2
(6×x/2)-(6×y/3)=6×3/2
3x-2y=9______(1)

x/3+y/2=16/3
(6×x/3)+(6×y/2)=6×16/3
2x+3y=32_____(2)
(1)×3____9x-6y=27____(3)
(2)×2____4x+6y=64____(4)
(3)+(4)___13x=91
x=7
3(7)-2y=9
-2y=-12
y=6
4 0
2 years ago
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