Look at the diagram. Which of the following is another name for < 1

Mathematics

2 answers:

Naddika [18.5K]3 years ago

8 0

Another name for ∠1 is
A. ∠CBA

Mariana [72]3 years ago

4 0

Answer: A. ∠CBA

Step-by-step explanation:

We need three points to write a name of an angle. One point on each ray with the vertex lies in the middle.

There are total three ways to write a name of an angle.

For example :- M and N are points on each ray of an angle with vertex O.

Then, the name of angle can be ∠O, ∠MON or ∠NOM.

From the given picture , it can be observe that A and C are points on each ray of ∠1 with vertex B.

Then, the possible name of ∠1 will be ∠B , ∠ABC or ∠CBA.

Since, ∠CBA in given in option A.

Thus OPTION A is the correct option.

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Identify the x-intercepts of the function below f(x)=x^2+12x+24

damaskus [11]

ANSWER:

x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

SOLUTION:

Given, $f(x)=x^{2}+12 x+24$ -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

$X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for (1) a = 1, b= 12 and c = 24

$X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}$

$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$