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4 years ago

What is the measure of angle 1?

Mathematics

1 answer:

KiRa [710]4 years ago

6 0

The sum of the two remote angles = the non connecting exterior angle. In plain simple English it means that
80o + 60o = <1
140 = <1 <<<<<<< ==== answer.

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Three is a zero of the equation x^3−4x^2−3x+18=0. Which factored form is equivalent to the equation?

Novosadov [1.4K]

Answer:

$x_1=-2,\ x_2=x_3=3\\ \\(x+2)(x-3)^2=0$

Step-by-step explanation:

Consider the equation

$x^3-4x^2-3x+18=0$

The zeros of the equation can be the divisors of 18:

$\pm 1,\ \pm2,\ \pm3,\ \pm 6,\ \pm 9,\ \pm 18$

Check them:

$1^3-4\cdot 1^2-3\cdot 1+18=1-4-3+18=10\neq 0\\ \\(-1)^3-4\cdot (-1)^2-3\cdot (-1)+18=-1-4+3+18=16\neq 0\\ \\2^3-4\cdot 2^2-3\cdot 2+18=8-16-6+18=4\neq 0\\ \\(-2)^3-4\cdot (-2)^2-3\cdot (-2)+18=-8-16+6+18=0$

So, x=-2 is zero. Now

$x^3-4x^2-3x+18\\ \\=x^3+2x^2-6x^2-12x+9x+18\\ \\=x^2(x+2)-6x(x+2)+9(x+2)\\ \\=(x+2)(x^2-6x+9)\\ \\=(x+2)(x-3)^2$

Thus, x=3 is the second root (of multiplicity 2)

6 0

4 years ago

Solve for x show all work -2× + 5=4× -7

Anestetic [448]

5=4x+2x-7
5+7=6x
12=6x
12/6=6x/6
2=x

6 0

4 years ago

Read 2 more answers

What is the value of p?

grigory [225]

Answer: p = 42

The bottom chord is 21+21 = 42 units long. This bottom chord is 11.2 units away from the center. Any other chord the same distance from the center will have the same length. The top chord has the same length of 42 units as it is also 11.2 units from the center.

8 0

3 years ago

Graphing<br>solve a system of equation by graphing

Alex787 [66]

SOLUTION:

$Point \ (1,3)$

<h2>Explanation:</h2>

Let's use the following System of Linear Equations in Two Variables in order to solve this exercise:

$\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}y=2x+1\\y=-4x+7\end{array}\right.$

So we can graph these lines using two points.

For eq (1):

$y=2x+1 \\ \\ If \ x=0 \ then \ y=2(0)+1 \therefore y=1 \\ \\ If \ y=0 \ then \ 0=2x+1 \therefore x=-\frac{1}{2} \\ \\ \\ Points: \\ \\ (0,1) \\ \\ (-\frac{1}{2},0)$

So graph a line that passes through these two points. This is the red line shown below.

For eq (2):

$y=-4x+7 \\ \\ If \ x=0 \ then \ y=-4(0)+7 \therefore y=7 \\ \\ If \ y=0 \ then \ 0=-4x+7 \therefore x=\frac{7}{4} \\ \\ \\ Points: \\ \\ (0,7) \\ \\ (\frac{7}{4},0)$