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Ulleksa [173]
3 years ago
10

Let f(x) = - 4x + 5. Find and simplify f(3a-4). f(3a-4)= (Simplify your answer.)

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

-12a+21

Step-by-step explanation:

-4*(3a-4)+5

-12a+16+5

-12a+21

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The midpoint of AB is M(-2, 1). If the coordinates of A are (-3,-5),
mrs_skeptik [129]

Answer:

B= (-1, 7)

Step-by-step explanation:

Midpoint formula is X1 plus X2, then divided by 2. So, because the midpoint is given you work backwards. So for the x value do (-3 + x) divided by 2 equals -2 and solve for x and you do the same thing for the Y value

8 0
3 years ago
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe
seropon [69]

The correct situation for the given condition are as follows:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

<h3>What is Area of Triangle?</h3>

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e.,  A = 1/2 × b × h.

The area of a triangle =  (base x height) / 2

and,

both lights illuminate the same base and height = (60 x 38) / 2

                                                                                 =  1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard.

The yard's total area = 60 x 38 = 2,280 sq ft,

which is twice the area lit by the lights.

Thus, The correct situation for the given condition are as follows:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Learn more about Area of triangle from:

brainly.com/question/27683633

#SPJ1

6 0
2 years ago
Find the perpendicular distance from the pointp(6, 4, 2)to the xy-plane.
Stells [14]

, 4, 2)to the xy............................................

7 0
3 years ago
Math is so hard for no reason​
Mashcka [7]

Answer: 0.12244898

Step-by-step explanation:

Find the square root of 36/49

(っ◔◡◔)っ ♥ Hope It Helps ♥

3 0
3 years ago
Which equation has x = -i and x = = 21v3 as two of its solutions?
Drupady [299]

Answer:

The equation in option A is correct.

Step-by-step explanation:

Given the equation

\:y=x^4+13x^2+12

Let us find the solution by setting y=0

x^4+13x^2+12=0\:\:\:\:\:

\mathrm{Rewrite\:the\:equation\:with\:}u=x^2\mathrm{\:and\:}u^2=x^4

u^2+13u+12=0

if ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

u+1=0\quad \mathrm{or}\quad \:u+12=0

u=-1,\:u=-12

\mathrm{Substitute\:back}\:u=x^2,\:\mathrm{solve\:for}\:x

x^2=-1,\:x^2=-12

solving

x^2=-1

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{-1},\:x=-\sqrt{-1}

x=i,\:x=-i            ∵ \:\sqrt{-1}=i

solving

x^2=-12

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{-12},\:x=-\sqrt{-12}

x=2\sqrt{3}i,\:x=-2\sqrt{3}i

Hence, the solutions are:

x=i,\:x=-i,\:x=2\sqrt{3}i,\:x=-2\sqrt{3}i

Therefore, the equation in option A is correct.

6 0
3 years ago
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