Answer:
Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.
Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.
Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.
Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.
Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:
-2| 1 2 -4 8
↓
1
Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:
-2| 1 2 -4 8
-2
1
Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:
-2| 1 2 -4 8
-2
1 0
Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:
-2| 1 2 -4 8
-2 0
1
Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:
-2| 1 2 -4 8
-2 0
1 0 -4
Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x2 + 0x - 4 R 16
x2 - 4 R16
Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).
Step-by-step explanation:
That was quite long, but those are the steps to synthetically divide polynomials.
To form a hyperbola what is the relationship between the base of the cone and the angle of the plane that intersects the cone
A. The plane is a parallel to the base of the cone
B. The plane may be perpendicular to the base of the cone
C. the plane must be at a 45 degree angle to the base of the cone
D. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone
what are the four functions that are increasing on the interval
Answer:
Tbh i don’t really know
Step-by-step explanation:
Ask someone else
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.
Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.
Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{11}{4}[/tex]
Tan θ = 2.75
θ = [tex]Tan^{-1}[/tex] 2.75
= 70.0169
θ = [tex]70^{o}[/tex]
Considering triangle formed by the tower and the stake to determine the value of l, we have;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]70^{o}[/tex] = [tex]\frac{23}{l}[/tex]
l = [tex]\frac{23}{Cos 70^{o} }[/tex]
= [tex]\frac{23}{0.3420}[/tex]
l = 67.2515
l = 67 feet
The length of the guy wire is 67 feet.
For more on trigonometric, check: https://brainly.com/question/6459892
solve for q
q/-2+17=13
q=
Answer:
q = 8
Step-by-step explanation:
-q/2 + 17 = 13
subtract 17 from each side to get:
-q/2 = -4
to isolate the 'q', multiply each side by -2 to get:
q = 8
Solve for x then y.
y+10=-1/6(x-6)
Answer:
y= -x/6-9
x= -6y-54
Step-by-step explanation:
someone help me pls
i need it now
just simply choose the letter of the correct answer
Answer:
Step-by-step explanation:
1. D
2. A
3. A
4. B
5. B
dont know the rest sorry
which of the following is not a true dilation?
A. The image and preimage have congruent angles
B. The image and preimage have proportional sides
C. The image and preimage are congruent
D. The image and preimage are similar
Answer:
umm i think it is B.
Step-by-step explanation:
Select all statements that are true about the triangles.
Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices
Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.
Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.
There is not enough information to determine if the triangles are congruent
Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
Pls help me i only have 20 mins
Answer:
In bold below.
Step-by-step explanation:
Part 1A: 60 hours * $11.50.
Ashly's GMI is $690.00
Part 2A: To find out how much Ashly's income goes towards technology, we need to find out how much 10% of $690.00 is. To do that, multiply 690 * 0.1. You'll get $69.00.
$69.00 goes towards Ashly's technology.
Part 2B: To find out how much she spends on lunch, we must do the same as above, only replacing 0.1 with 0.02. 690.00 * 0.02 = 13.8
$13.80 goes towards Ashly's technology.
Part 2C: $13.80 + $69.00 = $82.80
$82.80 is Ashly's monthly deductions.
Part 3A: If Ashly's annual salary is $8,280, we divide that by 12 to see how much she gets per month.
Ashly's GMI is $690.00
When resting, a spring measures 73.3 millimeters. When the spring is
compressed, it measures 51.29 millimeters. Find the percent of
decrease in the length of the spring. Round to the nearest percent if
necessary
Answer:
-30%
Step-by-step explanation:
The percentage change in length is given by ...
percent change = ((new length) -(original length))/(original length) × 100%
= (51.29 -73.3)/73.3 × 100%
= -22.01/73.3 × 100% = -0.30027 × 100%
= -30%
The decrease in the length of the spring was 30%.
Answer:
30
Step-by-step explanation:
because divide
A shop increases all its prices by 10%. Calculate the new price for an article which was previously sold for £7,500
Answer:
Your answer is 8250
Step-by-step explanation:
STEPS:
7500 x (1+0.1)
7500x1.1 = 8250
Hope this helped :)
PLS HELP WILL MARK BRAINLIEST!
Answer:
I think the answer is B.
Step-by-step explanation:
Answer:
c. 81x^2 -4y^2
Step-by-step explanation:
Area of full square - area of white square.
Lines A and B have
the same y-intercept,
but different slopes.
Both slopes are
negative.
PARALLEL PERPENDICULAR OR NEITHER
Answer:
Neither
Step-by-step explanation:
Since line a and b have different slope, it isnt parallel, and since the slopes both negative, its not an opposite reciprocal, so that isnt perpendicular, thus leading to neither
The table gives information about the heights of 50 trees. Work out an estimate for the mean height of the trees.
Answer:
add h then divide by 2 for h times f
Step-by-step explanation:
The circumference of a circle is 20pi m. find its diameter,in meters
Answer:
20 mStep-by-step explanation:
Circumference formula:
C = πdSubstitute and solve for d:
20π = πdd = 20π/πd = 20Someone please help me. Thank you!
Answer:
y = -1/2x
Step-by-step explanation:
Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.
Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b into y = mx + 0. Since it's 0, let's just drop it out of our equation.
So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x
It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.
Select all the rates equivalent to the rate 3/4 cup per pound
Answer:
Step-by-step explanation:
Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.
variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5
Answer:
16.3x
17. 8y
18.x+y
I thing these are the answers of these equations
please help!! this is for my geometry class
Answer:
x = 48°
Step-by-step explanation:
The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°
The 3 angles on the base line sum to 180° , that is
60° + 54° + base = 180°
114° + base = 180° ( subtract 114° from both sides )
base = 66°
The triangle on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then
x = 180° - (66 + 66)° = 180° - 132° = 48°
I need help pls help me
Answer:
$1,270
Step-by-step explanation:
let x be the total amount of ice cream sold without tax
x + (x*0.0635)=21270
1.0635x=21270
x=20,000
so the amount he needs to send to state is
21270-20000
1,270
Total cost of icecream without cost be x
[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]
[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]
[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]
Amount to be paid
[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]
If the radius of a circle equals 20 cm find its circumference correct to one decimal place
Answer:
125.66
Step-by-step explanation:
i don't get the one decimal place part but there your answer
Find the measure of each angle indicated.
Step-by-step explanation:
92°
as the has given pair of angle is Alternate Exterior angle so they have same values.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
HELP ASAP
Solve for the measure of ∠PMR
Answer:
116*
Step-by-step explanation:
Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.
Tell me if I'm wrong :)
HELLLP-
What is the location of the origin?
(0,0)
(1,1)
0
(10,10)
What’s the product of 2.6
Answer:
2×6=12
Step-by-step explanation:
Please help homework due tomorrow!!
12. Ms. Kerr needs $450 to purchase new volleyballs. She has already saved 65% of the money, how much
additional money does she need to save to have enough to purchase the equipment?
13. A 6th grade student is 5 feet tall and casts a 12 foot shadow. How tall is the 8th grader standing next to
him that casts a 14.4 foot shadow?
Answer:
12-157.5 13-6ft
Step-by-step explanation:
the first one just look up 65% of 450 and minus the number you get by 450
the second one do the butterfly method
[tex]\frac{5}{12} \frac{x}{14.4} \\[/tex]
the heights on top and shadows on bottom
12x=72
x=6
1. 1. MP.5 Use Appropriate Tools Carla had a piece of rope that was 14 in. long. She used some of the rope for a crafts project. Now there is 14 in. left. How much rope did she use? Use the number line to help.
Answer:
4/8, 1/2
Step-by-step explanation:
7/8 - 3/8 = 4/8
4/8 >>> divide both by 4
4 divided by 4 = 1
8 divided by 4= 2
1/2 Inches
Find the missing dimensions: Use the scale factor 1/4:3
Answer:
The answer is 1/4!
Step-by-step explanation:
If there are four quarts in a gallon, how many quarts are in 101/2 gallons?
Answer:
202
Step-by-step explanation:
What is 5/6 of 78kg?