All categories

3 years ago

What is the answer I’m not sure I’m right

Mathematics

1 answer:

trasher [3.6K]3 years ago

3 0

Answer:

x=0

Step-by-step explanation:

If you combine like terms it is x^2 +6x -27=-27

x^2 +6x =0

x^2=0

x=0

You might be interested in

Use Cramer Rule to solve the following system: 8x−5y=70 and 9x+7y=3

nlexa [21]

Answer:

$(x,y) = (5,-6)$

Step-by-step explanation:

$\underline{\textbf{Determinant of a matrix.}}\\\\\text{For a}~ 2 \times 2 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2\\b_1&b_2 \end{vmatrix} = a_1b_2 - a_2b_1\\\\\\\text{For a}~ 3 \times 3 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3 \end{vmatrix} = a_1\begin{vmatrix} b_2&b_3\\c_2&c_3 \end{vmatrix} - a_2 \begin{vmatrix} b_1&b_3\\c_1&c_3 \end{vmatrix}+ a_3 \begin{vmatrix} b_1&b_2\\c_1&c_2 \end{vmatrix}\\\\\\$

$~~~~~~~~~~~~~~~~~~=a_1(b_2c_3-b_3c_2) -a_2(b_1c_3-b_3c_1) +a_3(b_1c_2-b_2c_1)$

$\underline{\textbf{Cramer's Rule to solve a system of two equations.}}\\\\\text{Consider the system of two equations:}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_1x + b_1 y= c_1\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_2x +b_2 y = c_2\\\\\text{Here,}\\\\x = \dfrac{D_x}{D}= \dfrac{\begin{vmatrix} c_1&b_1\\c_2&b_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\\\ y= \dfrac{D_y}{D}= \dfrac{\begin{vmatrix} a_1&c_1\\a_2&c_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\$

$\underline{\textbf{Solution:}}\\\\~~~~~~~~~~~~~~~~~~~~~~~8x-5y = 70~~~~~~...(i)\\\\~~~~~~~~~~~~~~~~~~~~~~~9x +7y = 3~~~~~~~...(ii)\\\\\text{Applying Cramer's rule:}\\\\x = \dfrac{D_x}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 70& -5 \\3&7 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{70(7) -(-5)(3)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{490+15}{56+45}\\\\\\~~=\dfrac{505}{101}\\\\\\~~=5$

$y = \dfrac{D_y}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 8& 70 \\9&3 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{(8)(3) -(70)(9)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{24-630}{56+45}\\\\\\~~=-\dfrac{606}{101}\\\\\\~~=-6$

$\textbf{Hence, the solution to the system of equation is}~ (x,y) = (5,-6)$

7 0

2 years ago

ANYONE KNOWS THAT ANSWER FOR THIS PLEAS EHELP ME ASAP

Tasya [4]

Answer:

triangular prism

Step-by-step explanation:

Shape 1 attached is a triangular prism it has the same name and same net but is not identical as its slightly longer. The top side has 5 edges and its base has 4 edges

Has the same Faces: 5

Has the same Edges: 9

Has the same Vertices: 6

Shape 2 attached, is called a square based pyramid

It differs as its top side has 4 edges and its base has 4 edges where the base is the only common side and slope as the other one.

Faces: 5

Edges: 8

Vertices: 5

3 0

3 years ago

Sue and Cathi have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number

larisa [96]

Answer:

6 miles

Step-by-step explanation:

20 - 2 is 18, 18/3 is 6.

7 0

3 years ago

10 Which is 5,291,000 written in scientific notation

maxonik [38]

Answer: D. 5.291 x 10∧6

5 0

3 years ago

A baseball player running forward at 3 meters per second throws a ball with a velocity of 20 meters per second at an angle of 20

Gwar [14]

Answer:

22.8 m/s at 17.4°

Step-by-step explanation:

Horizontal component:

vₓ = 3 + 20 cos 20° = 21.8

Vertical component:

vᵧ = 0 + 20 sin 20° = 6.84

Magnitude:

v² = vₓ² + vᵧ²

v² = (21.8)² + (6.84)²

v = 22.8 m/s

Direction:

θ = atan(vᵧ / vₓ)

θ = atan(6.84 / 21.8)

θ = 17.4°

5 0

3 years ago

Read 2 more answers