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MArishka [77]
3 years ago
12

( please help!! )Find the slope of each line

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

-2/5

2

Step-by-step explanation:

Slope is rise over run according to my former algebra teacher, but I learned it differently (still correct tho).

The first moves 2 units down so negative 2, and moves 5 units right, so -2/5 since the rise is -2, and run is 5.

The second one moves 2 x-units for every 1 y-unit, so the slope is 2,

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A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes
Arturiano [62]

Answer: 50 large box

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

Let x = number of large boxes

y = number of small boxes

"There are 115 boxes in all" means x + y = 115 [eq1]

Now, the pounds for each kind of box is:

(pounds per box)*(number of boxes)

So,

pounds for large boxes + pounds for small boxes = 4125 pounds

"the truck is carrying a total of 4125 pounds in boxes"

(50)*(x) + (25)*(y) = 4125 [eq2]

It is important to find two equations so we can solve for two variables.

Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x:

x = 115 - y [from eq1]

50(115-y) + 25y = 4125 [from eq2]

5750 - 50y + 25y = 4125 [distribute]

5750 - 25y = 4125

-25y = -1625

y = 65 [divide both sides by (-25)]

There are 65 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

x = 115 - y

x = 115 - 65

x = 50

There are 50 large boxes.

Check (very important):

Is 50+65 = 115 ? [eq1]

115 = 115 ?yes

Is 50(50) + 25(65) = 4125 ?

2500 + 1625 = 4125 ?

4125 = 4125 ? yes

4 0
2 years ago
Yesterday the temperature at noon was 15.1°F. By midnight, it had dropped by
AfilCa [17]

Answer:

-9.1 degrees at midnight

Step-by-step explanation:

15.1 - 24.2 = -9.1 degrees

5 0
3 years ago
What are the real and imaginary parts of the complex number?
Hoochie [10]

Answer:

  • real: -9
  • imaginary: 8

Step-by-step explanation:

The imaginary number <em>i</em> signifies the imaginary part of a complex number. The imaginary part of the number is the coefficient of <em>i</em>. The real part is everything else.

__

In (a +bi), (a) is the real part, and (b) is the imaginary part.

In (-9 +8i), (-9) is the real part and (8) is the imaginary part.

  • real: -9
  • imaginary: 8
6 0
2 years ago
Two sides of a triangle have measures 3 ft. and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate
Tanya [424]

Answer:

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c = 27ft

Step-by-step explanation:

Since the angle is located in  between the sides of the sides, we will use the cosine rule to get the unknown sides

Let c be the missing sides

According to the cosine rule;

c² = a²+ b² - 2abcosC

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c² = 9 + 36 - 36cos60

c² = 45 - 36cos60

c² = 45 - 36(0.5)

c² = 45 - 18

c² = 27ft

Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60

8 0
3 years ago
Find the midpoint of the segment with the following endpoints(-8,-6) and (2,-10)
Aleks [24]

Answer:

(-3, -8)

Step-by-step explanation:

-8+2/2= -3

-6 -10/2= -8

(-3, -8)

4 0
3 years ago
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