1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dmitriy555 [2]
3 years ago
5

What is the remainder when 19x^2+15x+12 is divided by x-2?

Mathematics
1 answer:
lozanna [386]3 years ago
8 0

Answer:

118

Step-by-step explanation:

You might be interested in
The measures of two supplementary angles are (4x + 8) and (6x + 3)º.
Illusion [34]

Step-by-step explanation:

A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.

The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.

4x + 8 = unknown angle

6x + 3 = unknown angle

(4x + 8) + (6x + 3) = 180

Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.

Solve for x.

(4x + 8) + (6x + 3) = 180

10x + 11 = 180

10x = 169

x = 16.9

Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.

4x + 8

4(16.9) + 8

67.6 + 8 = 75.6 degrees

and the other angle

6x + 3

6(16.9) + 3

101.4 + 3 = 104.4 degrees

Now we know that the smaller angle is 75.6 degrees.

Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.

75.6 + 104.4 = 180 so we know they are supplementary for sure.

Good luck!

7 0
3 years ago
Read 2 more answers
A sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to do
Anettt [7]

Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

The number of hours it would take the sample to double is 9 hours as computed above.

6 0
3 years ago
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
Lerok [7]

Answer:

the product does not exits

5 0
3 years ago
1) You are designing a new kiddie soccer arena. The area of the rectangular
nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

\text{Area} = \text{length}\times \text{width}

The area of a rectangular field is, <em>A</em> = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

\text{Area} = \text{length}\times \text{width}

60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\

Factorize the last equation by splitting the middle term as follows:

w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

 = 5 + 7

 = 12

The length of the rectangular field is 12 ft.

7 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
3 years ago
Read 2 more answers
Other questions:
  • Divide number 1080 into two parts in a ratio of 4:1
    8·2 answers
  • Maritza remembers her pin because it is the product of consecutive prime numbers that is between 1000 and 1500. What is her pin
    8·1 answer
  • Explanation thanks!<br> Just need help getting started
    11·1 answer
  • there is a rectangle abcd.the length of the rectangle is increased by 10%.the width of the rectangle is increased by 5%,what is
    9·2 answers
  • PLZ HELP ME ASAP W THIS !!!
    11·1 answer
  • 7. What percent of 125 is 25?
    11·2 answers
  • PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
    13·1 answer
  • No links please
    12·2 answers
  • The vertex of the graph of fox) = |x-3+ 6 is located at
    7·1 answer
  • What is the volatile acid/alkalinity relationship in a digester if the alkalinity is 2400 mg/L and the volatile acids are 90 mg/
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!