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irinina [24]
3 years ago
6

(4p2 - 5p - 4) + (5p2 - 4-2p)​

Mathematics
2 answers:
Rasek [7]3 years ago
5 0

Answer:

9p^2 - 7p - 8

Hope this helps! Can I have BRAINLIEST please?

Strike441 [17]3 years ago
4 0

Answer:

Answer = 11p - 8

Step-by-step explanation:

(4px2 - 5p - 4) + (5px2 - 4 -2p)

(8p - 5p - 4) + (10p-4 - 2p)

(3p - 4) + (10p -4 -2p)

3p - 4 + 8p - 4

3p + 8p = 11p  

4+4 = 8

Answer 11p - 8

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Viefleur [7K]
I hope this helps you

4 0
3 years ago
A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other
Sonbull [250]

Answer:

The lengths are

8 + 8[root]3 , 12 + 8[root]3 and 20 + 8[root]3.

Step-by-step explanation:

Let the side against the barn be xft

We were told that the adjacent side is 4ft more than the side against the barn. This means it has a length of (x + 4)ft.

Lastly, we are told that the hypotenuse is 8ft longer than the side along the barn I.e (x + 4 + 8)ft = ( x + 12)ft.

Since the three lengths form a triangle, the square of the hypotenuse equals the square of the adjacent side plus the square of the opposite side. This is the pythagoras' theorem.

Mathematically, this can be written as follows:

(x + 12)^2 = x^2 + (x + 4)^2

This yields x^2 + 24x + 144 = x^2 + x^2 + 8x + 16

x^2 + 24x + 144 = 2x^2 + 8x + 16

Rearranging this will yield:

x^2 - 16x - 128 = 0

Using the quadratic formula yields the following values for x :

8 - 8[root]3 and 8 + 8[root 3]

Since the first is negative, we discard it and the only correct value of x is 8 + 8[root]3

Now the other length is 12 + 8[root]3 and 20 + 8[root]3.

4 0
4 years ago
Read 2 more answers
The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent: Parallelogram ABC
Studentka2010 [4]

General Idea:

The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.

Applying the concept:

Angles PBC and BAD are congruent by the <u>Corresponding Angle Theorem</u>.

Angles ABC and BAT are congruent by the <u>Alternate Interior angle Theorem</u>.

8 0
3 years ago
Read 2 more answers
A car rental agency charges 150 per week +0.45 per mile to rent car express the weekly cost to rent a car if as a function of th
Mashcka [7]

Answer:

The required function is:

C(x) = 150+0.45x

Step-by-step explanation:

We have to represent the given scenario as an equation or function

Let x be the number of miles driven in a week

Let C(x) be the function of the number of miles driven

As it is given that charges are 150 per week, these charges are constant so they will be used as it is.

It is also given that the cost of car is 0.45 per mile so for x miles the cost will be:

0.45x

Combining both terms, we get

C(x) = 150+0.45x

Hence,

The required function is:

C(x) = 150+0.45x

3 0
3 years ago
Alex has 84 quarters and nickels worth a total of $17.80.
Hunter-Best [27]

The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.

<h3>Quarters and nickels</h3>

  • Total coins = 84
  • Total value = $17.80

let

  • Number of quarters = q
  • Number of nickels = n

n + q = 84

0.05n + 0.25q = 17.80

From equation (1)

n = 84 - q

Substitute into (2)

0.05n + 0.25q = 17.80

0.05(84 - q) + 0.25q = 17.80

4.2 - 0.05q + 0.25q = 17.80

- 0.05q + 0.25q = 17.80 - 4.2

0.20q = 13.60

q = 13.60 / 0.20

q = 68

Substitute q = 68 into

n + q = 84

n + 68 = 84

n = 84 - 68

n = 16

Therefore, the number of quarters and nickels are 68 and 16 respectively.

Learn more about quarters and nickels:

brainly.com/question/17127685

#SPJ1

6 0
2 years ago
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