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3 years ago

(1Q) Describe how to transform the graph of g(x) = lnx into the graph of f(x)= ln(x-4)+3?

Mathematics

1 answer:

xxMikexx [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.

Red: Parent Function y = ln(x)

Blue: 4 units right. 3 units up.

Answer: B

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Complete the equation of the line through (6,-6) and (8,8)

melomori [17]

General formula to determine the equation of the line
y - y₁ = m(x - x₁)
(x₁,y₁) is one of the points which lies n the line
m represents the slope

Find the slope
Given:
(x₁,y₁) = (6,-6)
(x₂,y₂) = (8,8)

We could find the slope by using this formula
m = $\dfrac{ y_{2} -y_{1} }{ x_{2} -x_{1} }$

Plug in the numbers
m = $\dfrac{ y_{2} -y_{1} }{ x_{2} -x_{1} }$
m = $\dfrac{8-(-6)}{8-6}$
m = $\dfrac{14}{ 2 }$
m = 7
The slope is 7

Determine the line equation
Plug one of the points (you could choose any of points given from the question) and the slope to the formula of line equation
y - y₁ = m(x - x₁)
y - (-6) = 7(x - 6)
y + 6 = 7x - 42
y = 7x - 42 - 6
y = 7x - 48
<em>This is the equation of the line</em>

3 0

2 years ago

HELP Whats the value of X ??

klio [65]

Depending what your solving X for what type of equation because it has different rules

4 0

2 years ago

I am stuck at this question

Marrrta [24]

Answer:

Step-by-step explanation:

B(2,10); D(6,2)

Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)

Rhombus all sides are equal.

AB = BC = CD =AD

distance = √(x2-x1)² + (y2- y1)²

As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x

A(X,0)

AB = AD

√(2-x)² + (10-0)² = √(6-x)² + (2-0)²

√(2-x)² + (10)² = √(6-x)² + (2)²

√x² -4x +4 + 100 = √x²-12x+36 + 4

√x² -4x + 104 = √x²-12x+40

square both sides,

x² -4x + 104 = x²-12x+40

x² -4x - x²+ 12x = 40 - 104

8x = -64

x = -64/8

x = -8

A(-8,0)

Let C(a,b)

M is AC midpoint

(-8+a/2, 0 + b/2) = M(4,6)

(-8+a/2, b/2) = M(4,6)

Comparing;

-8+a/2 = 4 ; b/2 = 6

-8+a = 4*2 ; b = 6*2

-8+a = 8 ; b = 12

a = 8 +8

a = 16

Hence, C(16,12)

6 0

3 years ago

What is the value of p

Elan Coil [88]

Answer:

B. 40

Step-by-step explanation:

p is the opposite of 140.

180 - 140 = 40

6 0

3 years ago

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Is 3 liters per 60 seconds a unit rate

Sauron [17]

No its not a unit rate

6 0

3 years ago