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enyata [817]
2 years ago
5

What is the slope of this line?

Mathematics
2 answers:
Pani-rosa [81]2 years ago
8 0

Answer:

The slope is -3/4 or -0.75

Step-by-step explanation:

Rise over run:

Find the two points, count all the way to your next point on your y-axis which is your rise ( 3) count all the way to your next point on your x-axis which is your run (4). divide 3/4 however the line is going down so the answer is negative.

Lostsunrise [7]2 years ago
4 0

Answer:

the slope of this line is 3/4

Step-by-step explanation:

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List the transformations of the function<br> j(x) = 3(-7(x+2))-4
allsm [11]

Answer:

transformations of function 3(-7(x+2))-4

  • vertical stretch
  • horizontal compression
  • translates left
  • translates down
  • reflection across y-axis
8 0
3 years ago
3. Vlad (the vampire) wanted to line the inside of his cofin bed with purple cloth. He measured
il63 [147K]

Answer:L x W x H

Step-by-step explanation:

6 0
3 years ago
The image of the point (-6, -2) under a translation is (-4,2). Find the coordinates of the image of the point (-3, 4) under the
QveST [7]

ANSWER

(-1, 8)

EXPLANATION

First we have to find the rule for this translation.

The image of the x-coordinate of the given point is 2 untis more than the point, so the rule for the horizontal translation is to add 2.

The image of the y-coordinate of the given point is 4 units more than the point, so the rule for the vertical translation is to add 4:

(x,y)\rightarrow(x+2,y+4)

Therefore, the image of point (-3, 4) under the same translation is:

(-3,4)\rightarrow(-3+2,4+4)=(-1,8)

4 0
1 year ago
Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x ×
Alex73 [517]

A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.

<h3>What is a Complex Number?</h3>

A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.

As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.

A.) x+y=y+x

x+y=y+x\\a+bi+c+di=c+di+a+bi

As the two sides of the equation are equal, the equation is true.

B.) (x × y) × z = x × (y × z)

(x \times y) \times  z = x \times  (y \times  z)\\\\\ [ (a+bi)  \times (c+di) ]\times (f+gi) = (a+bi)  \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)=  (a+bi)  \times (cf+cgi+fdi-dg)

(ac+adi+bci-bd) \times (f+gi)=  (a+bi)  \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi

As the two sides of the equation are equal, the equation is true.

C.) x−y=y−x

x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi

As the two sides of the equation are not equal, the equation is not true.

D.) (x+y)+z=x+(y+z)

(x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi

As the two sides of the equation are equal, the equation is true.

E.) (x−y)−z=x−(y−z)

(x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)

As the two sides of the equation are not equal, the equation is not true.

Hence, all the statements are true except C and E.

Learn more about Complex Number:

brainly.com/question/12464608

6 0
2 years ago
A particular electric utility charges customers different rates depending on their daily rate of energy consumption: $0.05/kWh u
Yanka [14]

Answer:

(a) the number of 100W light bulbs is 11

(b) the daily cost of 2000 kW is $4,800

Step-by-step explanation:

charge of energy consumption up to 20 kWh = $0.05/kWh

charge of energy consumption above 20 kWh = $0.10/kWh

(a) number of 100 W light bulbs that can be run continuously for less than $10 per week

Total energy consumed by 100 W in 1 week = (0.1 kW) x (7 x 24 h)

                                                                          = 16.8 kWh

Charge associated with this consumption = $0.05/kWh

let the number of 100 W light bulbs = n

n(\frac{\$ 0.05}{kWh} \times 16.8 kWh) = \$10\\\\n(0.84) = 10\\\\n = \frac{10}{0.84} \\\\n = 11.9

Since 0.9 is not a whole number, the number of 100 W light bulbs is 11.

(b) if 2000 kW is used continuously

total energy consumption = 2000 kW x 24 h = 48,000 kWh

The daily cost is calculated as;

= \frac{\$0.10 }{kWh}  \ \times \ 48,000 kWh\\\\= \$ 4,800

4 0
3 years ago
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