Factorise the following: 1) -10x² + 31x +142) -24x² + 35x -4

1 answer:

katrin2010 [14]2 years ago

3 0

$-10x^{2} + 31x + 14 \\10x^{2} - 4x + 35x + 14\\-2x(5x) - 2x(2) + 7(5x) + 7(2)\\-2x(5x + 2) + 7(5x + 2)\\(-2x + 7)(5x + 2)$

$-24x^{2} + 35x - 4 \\-24x^{2} + 32x + 3x - 4 \\-8(3x) + 8(4) + 1(3x) - 1(4) \\-8x(3x - 4) + 1(3x - 4) \\(-8x + 1)(3x - 4)$

You might be interested in

The total volume is the length width and height are 3, 12.5, 8.4

sammy [17]

Volume is length time width time height

V = l x w x h

V = 3 x 12.5 x 8.4

V = 315 <<<This is the volume

Hope this helped!

6 0

3 years ago

-286 divided by 457.6 what is the quotient?

kompoz [17]

The quotient is -0.625

3 0

3 years ago

Solve the right triangle. Round to the nearest degree and nearest tenth of a unit. What is the right angleV?

N76 [4]

Answer:

m∠V ≈ 61°

Step-by-step explanation:

The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(V) = XW/XV = 7/8

The inverse sine function is used to find the angle:

V = arcsin(7/8) ≈ 61°

4 0

2 years ago

Which expression is equivalent to 4(x+2)?

Alex73 [517]

Hello!

You can expand the 4

4x + 8

the answer is 4x + 8

Hope this helps!

5 0

3 years ago

If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6)

vova2212 [387]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
X&({{ a}}\quad ,&{{ b}})\quad 
% (c,d)
Y&({{ -8}}\quad ,&{{ 6}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)$

$\bf \left( \cfrac{-8+a}{2}~,~\cfrac{6+b}{2} \right)=\stackrel{M}{(-3,-1)}\implies 
\begin{cases}
\cfrac{-8+a}{2}=-3\\\\
-8+a=-6\\
\boxed{a=2}\\
----------\\
\cfrac{6+b}{2}=-1\\\\
6+b=-2\\
\boxed{b=-8}
\end{cases}$

5 0

2 years ago