Which of the following lists of ordered pairs is a function?

What will be the total watt demand for the living area of this Dwelling?

natka813 [3]

Https://www.ecmweb.com/national-electrical-code/code-basics/article/20886603/dwelling-unit-calculations

5 0

3 years ago

Draw and label the final image of △ABC after the given sequence of transformations. Reflect △ABC over the y−axis and then transl

arlik [135]

Answer: The correct option is A.

Explanation:

From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and (-2,4) respectively.

If a point reflects over the y-axis then,

$(x,y)\rightarrow(-x,y)$

So after reflecting coordinates of point C become,

$(-2,4)\rightarrow(2,4)$

If a point translated by (a,b), then

$(x,y)\rightarrow(x+a,y+b)$

So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,

$(2,4)\rightarrow(2+2,4-2)\\(2,4)\rightarrow(4,2)$

Similarly the image of point A and B are (3,-1) and (5,1) respectively.

The image of C after reflection over y-axis followed by translation by (2,-2) is (4,2), which is shown in only graph A, Therefore A is the correct option.

8 0

3 years ago

Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0

vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

$x_1=-4+2i$ and $x_2=-4-2i$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}+8x+20=0$

so

$a=1\\b=8\\c=20$

The discriminant is equal to

$D=(b^{2}-4ac)$

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

Find the value of D

$D=8^{2}-4(1)(20)=-16$ -----> the quadratic equation has two complex solutions

Find out the solutions

substitute the values of a,b and c in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{-16}} {2}$

Remember that

$i=\sqrt{-1}$

$x=\frac{-8(+/-)4i} {2}$

$x_1=\frac{-8(+)4i} {2}=-4+2i$

$x_2=\frac{-8(-)4i} {2}=-4-2i$

8 0

3 years ago

Simplify. –24 – 8 ÷ (–4) A. –22 B. –8 C. –26 D. 8

pishuonlain [190]

Hi there! The answer is A. - 22

We can use PEMDAS to find our answer, which says divide first (before adding).

- 24 - 8 : (-4) =

Since we divide two negative numbers, we end up with a positive value.
- 24 + 2 =

Now we can add
-24 + 2 = -22

8 0

3 years ago

Read 2 more answers

Angie is on a road trip, and is reading a map that has a scale of 1 in: 40 miles. Her trip measures 5.5 inches on the map. What

WARRIOR [948]

Answer:

A. 220 miles

Step-by-step explanation:

You can multiply to find the answer. 5.5 times 40 = 220 miles.

7 0

2 years ago