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solniwko [45]
3 years ago
9

What is the equation for g(x)?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0
To translate an equation/function down in the vertical direction, you subtract the distance translated down.

Since the equation f(x)=4x^{2}+6 is being translated 4 units down, subtract 4 from f(x) to get:
g(x) =4x^{2}+6-4\\g(x)=4x^{2}+2
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PLEASE HELP!
Mariana [72]
-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4

-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13

-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7

-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7

-----------------------------------------------
Simplify:
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6 = 2y - 7

-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y

-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2

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Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------


6 0
3 years ago
What is the length of the unknown leg
likoan [24]

Answer:

6 mm

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the unknown leg

a^{2} +b^{2}=c^{2}

Since we need to solve for a, we will manipulate the equation in terms of b and c → a=\sqrt{c^{2}-b^{2}  }

Here,  b = 7 mm and c = \sqrt{85} mm

Plugging these numbers into our equation gives us a=\sqrt{(\sqrt{85})^{2} -(7)^{2}  } →\sqrt{85-49} = \sqrt{36} = 6 mm

6 0
3 years ago
Add. write your answer as a mixed number in simplest form. 5 1/2+6 7/9
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The answer is 12 5/18 hope it helps
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3 years ago
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