All categories

3 years ago

Write a two-column proof.

Mathematics

1 answer:

-Dominant- [34]3 years ago

7 0

Proof:-

In ∆XYZ and ∆VWZ

$\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf$

Hence

∆XYZ $\cong$ (Side-Angle-Side)

You might be interested in

Find the length of the diagonal of a square with perimeter 32.

snow_lady [41]

Answer:

i think A. because she is 4/2

7 0

2 years ago

Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

What is the multiple zero and multiplicity of f(x) = (x − 3)(x − 3)(x + 5)? a. Multiple zero is 5; multiplicity is 1 b. Multiple

dolphi86 [110]

Answer:

c. Multiple zero is 3; multiplicity is 2

Step-by-step explanation:

The factor is repeated, that is, the factor ( x − 3 ) appears twice. The number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity. The zero associated with this factor, x = 3 , has multiplicity 2 because the factor ( x − 3 ) occurs twice.

Then

Multiple zero is 3; multiplicity is 2.

6 0

3 years ago

Read 2 more answers

Find the solution to the system of linear equations y = 5x + 4 and y = −3x + 12 using the intersection method. Check your answer

Umnica [9.8K]

Answer:

The solution to the system of linear equations is (1,9).

Step-by-step explanation:

The given system of linear equations

$y=5x+4$ ... (1)