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stepladder [879]
2 years ago
14

How do I write the system of linear equations for this graph?

Mathematics
2 answers:
goblinko [34]2 years ago
5 0

( 1 ) First graph -

x-intercept = 2

y-intercept = -4

y=2x-4

[ Proof ]

2x-4=0\\2x=4\\x=2

For y-intercept, it's y = 0 -4 = -4

( 2 ) Second graph -

x-intercept = 2

y-intercept = 1

slope = -1/2

y=-\frac{1}{2}x+1

[ Proof ]

-\frac{1}{2}x+1=0\\-x+2=0\\-x=-2\\x=2

For y-intercept, it's y = 0 + 1 = 1

So it's y = 2x - 4

and y = -1/2x + 1

nataly862011 [7]2 years ago
4 0

Answer:y=-2x+0

Step-by-step explanation:

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(m+2)(m+3)=(m+2)(m-2)
Anastaziya [24]
(m+2)(m+3)= (m+2)(m-2)
⇒ m^2+ 3m+ 2m+ 6= m^2 -4
⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
⇒ 5m= -10
⇒ m= -10/5
⇒ m= -2

The final answer is m=-2~
6 0
3 years ago
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ArbitrLikvidat [17]

Answer:

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Step-by-step explanation:

5 0
2 years ago
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What is equation for the line that is perpendicular to y-3=-4(x+2) and passes through the point (-5,7)
jekas [21]

Answer:

y-7=1/4(x+5)

Step-by-step explanation:

y-3=-4(x+2)

y=-4x-8+3

y=-4x-5

-----------

y-y1=m(x-x1)

y-7=m(x-(-5))

y-7=m(x+5)

perpendicular means negative reciprocal of the slope,

so the slope will be 1/4

y-7=1/4(x+5)

4 0
3 years ago
Simplify the expression, if possible. (if the expression cannot be simplified, enter the given expression.) (k − 5)13 (k − 5)
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6 0
3 years ago
Which is the simplified form of the expression ((p squared) (q Superscript 5 Baseline)) Superscript negative 4 Baseline times ((
Alexus [3.1K]

Answer:

q^{-30}

Step-by-step explanation:

Given the expression:

((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}

First, we open the outer brackets

=(p^{2X-4}) (q ^{5X-4})X (p ^{-4X-2}) (q^{5X-2})\\\\=(p^{-8}) (q ^{-20})X (p ^{8}) (q^{-10})\\\\$Next, we can collect like terms\\\\=p^{-8}Xp ^{8}Xq ^{-20}Xq ^{-10}\\\\$Applying addition law of indices\\\\=p^{-8+8}Xq^{-20+(-10)}\\\\=p^0 X q^{-30}\\\\=1 X q^{-30}\\\\=q^{-30}

Therefore:

((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}=q^{-30

8 0
3 years ago
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