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3 years ago

Part C

Mathematics

1 answer:

Genrish500 [490]3 years ago

8 0

<h3>Question</h3>

What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south?

Step-by-step explanation:

Answer: The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4,

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What is the midpoint of the line segment with endpoints (3.2, 2.5) and (1.6, -4.5)

jok3333 [9.3K]

Answer:

(2.4, -1)

Step-by-step explanation:

Using midpoint formula plug in the info (x1+x2)/2, (y1+y2)/2

8 0

2 years ago

How do you find the quadratic equation for the roots 3 and 17?

Naily [24]

The roots are 3 and 17 so the distributed equation is

(x-3)(x-17)

distribute

x²-3x-17x+51

x²-20x+51

I hope I've helped!

6 0

3 years ago

Find all the powers of 3 that are in the range 3 through 1000

Ksivusya [100]

So just use a calculator but here goes
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
3^6=729

and 3^7 is 2187 which is excluded

8 0

3 years ago

Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(

Inessa05 [86]

Answer:

$2+i$

Step-by-step explanation:

Given the expression:

$\dfrac{4+\sqrt{16-(4)(5)}}{2}$

To find:

The expression of above complex number in standard form $a+bi$ .

Solution:

First of all, learn the concept of $i$ (pronounced as iota) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by $i$ .

Value of $i =\sqrt{-1}$ .

Now, let us consider the given expression:

$\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i$

So, the given expression in standard form is $2+i$ .

Let us compare with standard form $a+bi$ so we get $a =2, b =1$ .

$\therefore$ The standard form of

$\dfrac{4+\sqrt{16-(4)(5)}}{2}$

is: $\bold{2+i}$

8 0

2 years ago

Find the measure of angle X.

densk [106]

Answer:

x = 23 degrees

Because if you look at diagram x is vertical to angle FBC, and angle FEC and angle EBA are alternate interior angles so they are equal to each other, and AC is a straight line which means it equals to 180 degrees.

$4x+65+x = 180$

x = 23 degrees

5 0

1 year ago

Read 2 more answers