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3 years ago

What are the solutions to the equation x2+9x+12=6?

Mathematics

1 answer:

mart [117]3 years ago

3 0

Answer:

x=(-9+√57)/2

or x = (-9-√57)/2

Step-by-step explanation:

1. Move all terms to one side

x^2+9x+12-6=0

x^2+9x+6=0

2. Plug it in to the quadratic formula

x=(-9±√9^2-4*1*6)/(2)

x=(-9+√57)/2

or x = (-9-√57)/2

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Six times the sum of a number and 15 is -42

morpeh [17]

6(x + 15 ) = -42

6(x + 15) = -42

6x + 90 = -42

x = -132/6= -22

5 0

3 years ago

Please help and show work

oee [108]

Answer:

Coordinates of A': will NOT be the same

Coordinates of C': will NOT be the same

Perimeter of ABC: will be the same

Area of A'B'C': will be the same

Measure of ∠B: will be the same

Slope of A'C': will be the same

Step-by-step explanation:

We have a triangle ABC that will be translated (moved) 2 units down, 3 units to the right.

Since the triangle is moved, then the coordinates of every summit (A, B and C) will be affected. So,

Coordinates of A': will NOT be the same

Coordinates of C': will NOT be the same

However, since the triangle is only moved, not transformed in any way, not scaled up/down for example the following will remain the same:

Perimeter of ABC: will be the same

Area of A'B'C': will be the same

Measure of ∠B: will be the same

Since the triangle is only translated, not rotated or reflected the following will remain the same:

Slope of A'C': will be the same

3 0

4 years ago

Hi please help meeee

Tresset [83]

Answer:

Step-by-step explanation:

The attachment will help you with your question:

4 0

3 years ago

Please I have my final now can someone help me with this fast

Mariana [72]

Answer:

option B

Step-by-step explanation:

Given :

$y = \frac{2}{3}x + 3\\\\y = \frac{5}{2}x + \frac{7}{2}\\\\$

Step 1 : simplify the equation :

$3y = 2x + 9\\\\2y = 5x + 7\\$

Step 2: Arrange the terms :

$2x - 3y = - 9\\\\5x -2 y = -7$

Step 3 : Solve for x and y :

2x - 3y = - 9 ------ ( 1 )

5x - 2y = - 7 --------- ( 2 )

_____________________

( 1 ) x 5 => 10x - 15y = - 45 ---------- (3 )

( 2) x 2 => 10x - 4y = - 14 ----------- (4 )

_______________________

( 3 ) - ( 4 ) => 0x - 11y = - 31

- 11 y = - 31

$y = \frac{31}{11}$

Substitute y in ( 1 ) :

2x - 3y = - 9

$2x - 3 (\frac{31}{11}) = - 9\\\\2x = -9 + 3(\frac{31}{11})\\\\2x = - 9 + \frac{93}{11}\\\\2x = \frac{-99 + 93}{11} \\\\2x = \frac{-6}{11} \\\\x = \frac{-6}{2 \times 11} = -\frac{3}{11}$

Therefore the solution to the sytem is $( - \frac{3}{11} , \frac{31}{11})$

The solution of the system of equation is a point which lies

on the both the lines.

Option A : False , It says the solution lies above one of the given line.

But the solution of the system of equation always lies on

both the line.

Option B : True , says the solution is a point on the coordinate plane.

Option C : False, because if the solution is on the x-axis , then

the y coordinate in the solution would be zero.

But it is not zero.

Option D : False , the solution is the point where both the lines intersect.

8 0

3 years ago

if a plate of car consists of two letters and four digits and one car is chosen at random, then find the probability that the ca

Luba_88 [7]

Answer:

if u take 1 degree to 78 its answer is 79

Step-by-step explanation:

got it?

7 0

3 years ago