There are 4 angles shown. Which of these are Acute,Right,Obtuse,and Straight angle?

What multiplies to 16 and adds to negative 12

Factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm

we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

0=x^2+12x+16
a=1
b=12
c=16

x= $\frac{-12+/- \sqrt{12^{2}-4(1)(16) }}{2(1)}$
x= $\frac{-12+/- \sqrt{144-64 }}{2}$
x= $\frac{-12+/- \sqrt{80}}{2}$
x= $\frac{-12+/- 4\sqrt{5}}{2}$
x= $\frac{-6+/- 2\sqrt{5}$
x= $\frac{-6+ 2\sqrt{5}$ or $\frac{-6- 2\sqrt{5}$

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

6 0

2 years ago

Read 2 more answers

Which graph shows the solution to this system of inequalities? y < 2x + 4 y > -X -3

Arturiano [62]

Answer:

The answer is Graph X.

Always start by isolating the variable \color{red}y on the left side of the inequality.
Change the inequality to equality symbol.
Graph the boundary line from step 2 in the XY-plane.
The last step is to shade one side or region of the boundary line.

Please Mark Brainliest If This Helped!

3 0

2 years ago

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

Stolb23 [73]

Answer:

t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

1) Explanation of the model:

Given: h(t) = -16t² + 48t

This is a quadratic function, so the height is modeled by a patabola.

This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

2) Axis of symmetry:

The axis of symmetry of a parabola is the vertical line that passes through the vertex.

In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

Conclusion: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0

2 years ago

Which of the following square root of -80

Marta_Voda [28]

You can factor -80 as

$-80 = (-1)\cdot 16 \cdot 5$