D + 3 < 12 Select one: a. d < –9 b. d <

Helpppppppppppppppppppppp!!!!!!! Plzzzzzzzzzzzzzzz

diamong [38]

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180° so we can write

$y + 2y + 3y = 180° \Rightarrow 6y = 180°$

Solving for y, we get

$y = 30°$

So the other two angles of the triangle are

$2y = 2(30°) = 60°$

and

$3y = 3(30°) =90°$

7 0

3 years ago

Use the parabola tool to graph the quadratic function f(x)=x2−12x+27. Graph the parabola by first plotting its vertex and then p

alina1380 [7]

Answer:

vertex is (6 , -9)

points are (9,0) and (3,0)

Step-by-step explanation:

Given quadratic function $f(x)=x^2-12x+27$

We have to plot the given quadratic function.

Consider the Given quadratic function $f(x)=x^2-12x+27$

The general form of quadratic function is given $f(x)=a(x-h)^2+k$

Where, (h, k) is vertex , given $h =\frac{-b}{2a}$ and $k = f(h)$

Thus, for given quadratic function $f(x)=x^2-12x+27$

a = 1 , b= -12 , c = 27

Thus,

$h =\frac{-b}{2a}=\frac{12}{2}=6$

$k = f(h)$ that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9

Thus, given quadratic function $f(x)=x^2-12x+27$ in standard form is $f(x)=(x-6)^2-9$

Thus, vertex is (6 , -9)

For second point put $f(x)=0$ , we get,

$f(x)=(x-6)^2-9=0$

$\Rightarrow (x-6)^2-9=0$

$\Rightarrow (x-6)^2=9$

$\Rightarrow (x-6)=\pm 3$

$\Rightarrow x= 6\pm 3$

Thus, $\Rightarrow x=6+3=9$ and $\Rightarrow x=6-3=3$

thus, points are (9,0) and (3,0)

Graph is attached below.

5 0

3 years ago

What is the negative root of 2x^2 + x − 6 = 0

max2010maxim [7]

Hello!

Here we can use the quad formula to solve for the x values or roots.
$x=(-2+or - \sqrt{2^2-4*2*-6})/2*2$ = -2 and 3/2
The negative root for this equation is x=-2

We find the roots of an equation by solving for x by different ways, most common ones being the quadratic formula of x= [-b +/-sqrt(b^2-4ac)]/2a or factoring and setting equal to zero and solving for x value(s) that way. Also the roots are where the graph of the equation crosses the x-axis.

Hope this helps. Any questions please just ask. Thank you kindly

4 0

3 years ago

andres has 4 bunches of balloons. there are 6 balloons in each bunchs how many balloons does andres have in all

Whitepunk [10]

$\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}$