475 marked down to 15%

Answer as quickly as you possibly can

klemol [59]

Answer:

m = 3/2

Step-by-step explanation:

You want to find the slope, or the change in y coordinates over change in x-coordinates.

The first given point is E(-2, -4)

The second point is F(2, 2)

Coordinates are given in (x, y), so following the equation and computing the x and y coordinates of E - F for both the numerator and denominator:

$\frac{y_2 - y_1}{x_2-x_1} = \frac{-4 -2}{-2 -2} = \frac{-6}{-4} = \frac{3}{2}$

You could also have went the other way and calculated F - E for the numerator and denominator and get the same answer.

Finally, to check you can also look at the graph through the rise over run (rise/run) method and see that from E, you go up 3 (rise) and to the right 2 (run) to get to the next point on the line.

5 0

3 years ago

What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

3 years ago

Can somebody please help me with question number 1

inysia [295]

Answer:

1a: 6.283

b: 51.313

c: 285.1

Step-by-step explanation:

Area of a sector = (angle/360)πr²

1a

Area=(45/360)π(4²)=6.283

b

Area=(120/360)π(7²)=51.313

c

Area=(270/360)π(11²)=285.1

6 0

3 years ago

Karen will divide her garden into equal parts. She will plant corn in 8/12 of the garden. What is the lowest number of parts she

Ronch [10]

Answer:

3 parts

Step-by-step explanation:

8/12 = 2/3

Apparently, Karen wants to divide her garden into 3 parts and plant 2 of them in corn.

5 0

3 years ago

The area of a plot of land is 2496 square meters. A small part of the land is fenced. The ratio of the area of the plot of land

AfilCa [17]

My late response (haha): First, you would write a proportion.

Step 1: 2496 over 48 = x over 31
(x represents the area of the land that is not fenced).

Step 2: Cross multiply
2496 times 31 and x times 48

Step 3: Calculate
77376 = 48x

Step 4: Divide both sides by 48
77376/48 = 1612
48x/48 = x

Step 5: Write it as a sentence
The area of the land that is not fenced is 1612 squared meters.

Hope that helped! Good luck! :]

4 0

3 years ago