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3 years ago

Slope of segment DE is -2 and slope of segment AC is -2 whAT is the justification for this statement?

1 answer:

5 0

Answer:
slope formula

Explanation:
1- Slope of DE:
Assume point D is (x1, y1) and point E is (x2, y2). To get the slope of DE, we will substitute with the given points in the following formula:
slope of DE = (y2-y1) / (x2-x1) = -2

1- Slope of AC:
Assume point A is (x1, y1) and point C is (x2, y2). To get the slope of AC, we will substitute with the given points in the following formula:
slope of AC = (y2-y1) / (x2-x1) = -2

3- Therefore, the easiest way to get the slope of any line is by using the slope formula.

4- Note that since the two slopes are equal, this means that the two lines are parallel.

Hope this helps :)

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(x-1)^2+(2-x)^2-3(x-5)*(x-5)

Natali5045456 [20]

Answer:

$-x^2+24x-70$

Step-by-step explanation:

$(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70$

Formula used =

$(a-b)^2 = a^2+ 2ab + b^2$

8 0

2 years ago

The volume of a can of Pepsi is 0.33liter. There are 12 cans in 1 carton

marusya05 [52]

Answer:

19 liters 800 milliliters

Step-by-step explanation:

0.33 * 12 * 5 = 19.8 liters

6 0

1 year ago

¿Cuál es la ecuación de la recta con pendiente -2 y el punto (4, 10)?

Sophie [7]

The general slope-intercept form equation is:

$\begin{gathered} y=mx+b \\ \text{Wher m is the slope and b is the y-intercept value} \end{gathered}$

In this case, m=-2 and with the point (4, 10) we can find the value of b:

$\begin{gathered} We\text{ evalute the equation in the point (x, y) = (4 , 10):} \\ 10=-2\cdot4+b \\ 10=-8+b \\ b=10+8=18 \end{gathered}$

We found that b = 18, so:

$y=-2x+18$

4 0

11 months ago

Can someone and give me the right answer

kolezko [41]

The 1st option is your answer,

because to solve c, the -11 and 11 = 0, so your left with adding 23 and 11, then you divide -4 on both sides to get the variable (x) by itself

And for f, you only need to divide -4 on both sides to get x by itself.

6 0

2 years ago

If g(x)=3f(x)-8 and f(x)=10-x to the second, then what if the value of g(-2)

babymother [125]

Answer:

Step-by-step explanation:

g(x)=3(10-x)^2-8

=3(12)^2-8

=144*3-8

=432-8

=424

7 0

2 years ago