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2 years ago

9. Use the quadratic formula to solve the equation.

Mathematics

2 answers:

Kryger [21]2 years ago

8 0

You’re answer here is the third one

rodikova [14]2 years ago

4 0

your answer the third one

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Find an equation of a plane containing the line r = ⟨−5, 1, 0⟩ + t ⟨7, −8, 4⟩ which is parallel to the plane 4x + 1y −5z = −24.

Ipatiy [6.2K]

1-Find an equation of the plane.

The plane that passes through (8,0,-1)

and contains the line x=4-4t , y=1+5t , z=4+2t

------------

2-Find an equation of the plane.

The plane that passes through the point (-2,2,2)

and contains the line of intersection of the planes

x+y-z=3 and 3x-y+5z=5

---------------

3-Find an equation of the plane.

The plane that passes through the line of intersection of the planes x-z=1 and y+2z=2

and is perpendicular to the plane x+y-4z=3

------------

4-Where does the line through

<span>(1, 0, 1) and (4,-2,3)intersect the plane</span><span>x + y + z = 8 ?</span>

8 0

2 years ago

Please help answer needed asap

Basile [38]

Answer:

Step-by-step explanation:

a = 3n-30 solve for 'n'

a + 30 = 3n

n = (a+30)/3

n(a) = (a+30)/3

5 0

2 years ago

A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning

zvonat [6]

Answer: $46x^2+73x+15$

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

$A=lw$

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are $(6x+7)$ by $(8x+5)$ , its area is:

$A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35$

As they are planning that the dimensions of the mural be $(x+4)$ by $(2x+5)$ , its area is:

$A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20$

Then the area of the remaining wall after the mural has been painted is:

$A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15$

8 0

3 years ago

Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the w

Kay [80]

When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle.

$x\propto \frac{1}{y}$

We know that the area of a rectangle is given by the product of the length and width of the rectangle.

Area = Length*Width

In this given problem,

The length of the rerectanglctangle is represented by x

and the width of the rectangle is represented by y

If the area of the rectangle is represented by A now.

So by the formula,

A = x*y

When A is constant then,

x = A/y

$\therefore x \propto \frac{1}{y}$

So from the above calculation we can conclude that about relation between length and width that,

"When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle."

Learn more about Area here -

brainly.com/question/25292087

#SPJ10

5 0

1 year ago

Solve x2+12x=82 using completing the square. Answer the questions below.

galben [10]

Answer:

exact form : x = ± √ 118 − 6

Decimal form : x = 4.86278049 or − 16.86278049

Step-by-step explanation:

Use the formula ( b /2 ) ^2 in order to create a new term. Solve for x by using this term to complete the square.

4 0

2 years ago