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3 years ago

How to solve -2p^2=16p+24

1 answer:

8 0

Add 2p² to each side of the equation. Then you have

2p² + 16p + 24 = 0 .

Before you roll up your sleeves and start working on it, you can make it
even more convenient if you divide each side by 2 . Then you have:

p² + 8p + 12 = 0 .

Now you have a nice, comfortable, familiar-looking quadratic equation.
You can either factor the left side into (p + 6) (p + 2), or, if you can't find
the factors, you can apply the quadratic formula to it.

That's how to solve it, and find its two solutions.

You might be interested in

A ship is anchored off a long straight shoreline that runs north and south. From two observation points 16 miles apart on shore,

ELEN [110]

D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222 miles

6 0

3 years ago

Look at the picture

valentina_108 [34]

9514 1404 393

Answer:

Step-by-step explanation:

When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are exterior.

If angles are in the same direction from the intersection point, they are corresponding.

Angles in opposite directions from the point of intersection are vertical angles.

same-side interior: {3, 5} and {4, 6}. (supplementary)

same-side exterior: {1, 7} and {2, 8}. (supplementary)

alternate interior: {3, 6} and {4, 5}. (congruent)

alternate exterior: {1, 8} and {2, 7}. (congruent)

corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

6 0

3 years ago

QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.

GalinKa [24]

Answer:

Part a) The company can not build 12 chairs and 5 tables

Part b) The company can build 18 chairs and 3 tables

Part c) The company can build 12,13,14,15,16 or 17 chairs

Step-by-step explanation:

we know that

If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph

Part a) Can the company build 12 chairs and 5 tables?

In this problem we have the ordered pair A(12,5)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

The company can not build 12 chairs and 5 tables

Part b) Can the company build 18 chairs and 3 tables?

In this problem we have the ordered pair B(18,3)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

therefore

The company can build 18 chairs and 3 tables

Part c) One week, the company decides to build 4 tables. how many chairs can the company build?

For y=4

Find the value of x in the graph

The solutions point for y=4 tables are

(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)

therefore

The company can build 12,13,14,15,16 or 17 chairs

3 0

3 years ago

Hello everyone, I have this question. Please help me.

kobusy [5.1K]

Answer:

7 reservoirs

Step-by-step explanation:

1 yards = 3 feet => 3.5 yards = 10.5 feet

To determine how many numbers of reservoirs to reserve 90000, we first need to determine the capacity of each reservoirs (how much liquid one reservoir can contain) - which is equal to the volume.

The formula to calculate the volume of a circular cylinder is:

- Volume of cylinder = Area of base x Height

The base of this cylinder is a circle with radius equal to 4 feet. ( $\pi = 3.14$ )

=> The are of the base is = $\pi *radius^{2}$ = 3.14 x 4^2 = 50.24 feet square

=> The volume of cylinder = Area of base x Height

=> The volume of one cylinder = 50.24 x 10.5 = 527.52 Cubic foot

We have: 1 cubic foot = 28.317 liters

=> 1 liter = 1/28.317 cubic foot

=> 90000 liters equal to: 90000/28.317 = 3,178.303 cubic foot

The number of reservoirs needed to contain 90000 liters of liquid is:

3,178.303/527.52 = 6.025

=> So that it needs 7 reservoirs to store all 90000 liters of liquid.

5 0

3 years ago

PLEASE HELP

kumpel [21]

10x+5. Hope this helped

7 0

3 years ago

Read 2 more answers