The solution in slope-intercept form for:
y + 7 = -3(x - 1) is y = -3x - 4
3x + y = -4 is y = -3x - 4
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We have been given two equations
y + 7 = -3(x - 1) and 3x + y = -4
we have been asked to simplify these equations in slope intercept form.
The slope intercept form can be written as follows:
y = mx + b
Where, m is the slope of the line and b is the y-intercept.
The y-intercept of this line is the value of y at the point where the line crosses the y axis
Now, let us write the first equation in slope intercept form as follows:
y + 7 = -3(x - 1)
y + 7 = -3x + 3
y = -3x + 3 - 7
y = -3x - 4
The slope intercept form for the first equation is y = -3x - 4
Now, let us write the second equation in slope intercept form.
This can be done as follows:
3x + y = -4
y = -3x - 4
Therefore, the slope intercept form for the second line is y = -3x - 4
Answer:
see explanation
Step-by-step explanation:
Given the recursive formula = and
= 2 = , then
= ( multiply both sides by 4 )
a₃ = 4 × = 9
= 9 ( multiply both sides by 4 )
a₂ = 36
= 36 ( multiply both sides by 4 )
a₁ = 144
The first 4 terms are
144, 36, 9, 2
Answer:
The surface area increases by 11.16 cm².
Step-by-step explanation:
First find the surface area of the original shape
A=2(wl+hl+hw) Use this equation to find the surface area of the rectangular prism.
A = 2[(4.6 x 14)+(32 x 14)+(32 x 4.6)] Multiply and add
A = 1319.2 cm²
Now increase the height by 0.3 cm
A = 2[(4.6 x 14)+(32.3 x 14)+(32.3 x 4.6)] Multiply and add
A = 1330.36 cm²
Subtract 1330.36 by 1319.2 = 11.16 cm²
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4a.4²x +3=1
Slotuion:
4²x + 3=1 : <em>x</em>= -⅛ (Decimal:<em>x</em>= -0.125)
Steps
4² x +3=1
4²=16
16x + 3=1
Subract 3 from borh sides
16x +3-3=1-3
Simplify
16x=-2
Divides both sides by 16
[/tex]
Simplitfy
Simplify
<em>x</em> = -⅛
therefore the answer is <em>x</em><em>=</em><em> </em><em>-</em><em>⅛</em>
4b.ex-1 -5 =5
x~=3.30258
explanation:
e^(x-1)-5=5
e^(x-1)=10
x-1=ln 10
x-1~=2.30258
x~=3.30258