Answer:
Step-by-step explanation:
f(x)=x^4-11x^2-80=x^4-16x^2+5x^2-80
=x²(x²-16)+5(x²-16)
=(x²-16)(x²+5)
=(x-4)(x+4)[x²-(-5)]
=(x-4)(x+4)[x^2-(5i²)]
=(x-4)(x+4)(x-√5 i)(x+√5 i)
so zeros are 4,-4,√5 i,-√5 i
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Dilation is the change in size of of object. The length of the side OB' will be 3 units
Dilation of coordinateFrom the given diagram, we can see that there is a change in the side of the triangle OAB to OA'B'
Given the following parameters
OB = 3/4 units
Scale factor = 4 units
The measure of OB' = 4 * 3/4 = 3 units
Hence the length of the side OB' will be 3 units
Learn more on dilation here: https://brainly.com/question/10253650
Answer:
3
Step-by-step explanation:
edg 2022
What the line measures
Lola bought 4.25 yards of ribbon. The ribbon cost $1.59 per yard. What was the
total cost of her ribbon to the nearest cent?
Fill in the blanks with an operation symbol and a number to complete the
equation.
4.25___$1.59 = $_
Help picture below problem 17
Answer:
40
Step-by-step explanation:
Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!
I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)
15 POINTS ANSWER FAST!
A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 14 inches, and the width QR is labeled as 7 inches. The side LM of the square is labeled as 7 inches.
Anna says that the length of diagonal SQ is two times the length of diagonal OM.
Is Anna correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Find the product. (6y - 2)2
A. 36y2 - 24y + 4
B. 36y2 + 24y = 4
C. 36y2 + 4
D. 12y2 - 16y + 4
Answer:
A. 36y² - 24y + 4Step-by-step explanation:
Use identity
(a ± b)² = a² ± 2ab + b²Here we have a = 6y, b = 2
(6y - 2)² = (6y)² - 2(6y)(2) + 2² = 36y² - 24y + 4Correct choice is A
(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?
A. 1,050$
B. 150$
C. 900$
Choose the correct graph of the function y=√x+2 .
Answer:
[D]
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 2
1 3
2 3.41
Graph is below:
[RevyBreeze]
Mike is buying a car for $24,300. He wants to make a maximum down payment of $3.000. TWo. deals are available, both for 48-month loans. In the first deal, with a factory rebate his down payment will be $1,000. His monthly loan payments would be $573 21 at 8.4% interest. In the second deal, he gets no rebate and makes a $3,000 down payment but his interest rate is 0.9% resulting in a $451.95 loan payment. a) What total amount will Mike pay with the first deal? b) What total amount will Mike pay with the second deal?
Answer:
1,000
Step-by-step explanation:
An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1750 feet apart . As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. If If A=30 degrees and B=20 degrees how high is the airplane?
Answer:
at aircraft(at z) sported by
what is 2+2 because i just decided to ask this
Answer:
4
Step-by-step explanation:
2+2 = 4
The equation is :
Answer x =
Answer:
4x-11=73,
x=21
Step-by-step explanation:
11 subtracted from means -11
four times a number means 4(x) because x is the number
is = equals
so
4x-11=73
+11 +11
4x=84
/4 /4
x=4
Jonathan wraps a gift box in the shape of a triangular pyramid. The figure below shows a net for the gift boxIf all the triangles are equilateral, how much wrapping paper did he use, in square meters
Jonathan will need a warping paper of 420.78m^2
Data;
slant height = 12mlength of sides = 10.39mSurface Area of an Equilateral TriangleTo find the amount of warping paper used, we can use the formula of surface area of an equilateral triangle since the triangle used here is an equilateral triangle.
[tex]Surface Area = base area + \frac{1}{2}(perimeter * slant height)[/tex]
Let's calculate the base area and perimeter of the triangle.
base area of an equilateral triangle is given as
[tex]B.A = \frac{\sqrt{3} }{4} a^2[/tex]
a = length of the sideLet's substitute the value and solve
[tex]B.A = \frac{\sqrt{3} }{4} a^2\\B.A = \frac{\sqrt{3} }{4}*10.39^2\\B.A = 46.74m^2[/tex]
The base area is 46.74m^2
Let's calculate the perimeter of the triangle
[tex]P = 3a\\[/tex]
Substitute the value into the equation and solve
[tex]P = 3a \\P = 3 * 10.39\\P = 31.17m^2[/tex]
We can proceed to substitute the values of the base area and perimeter of the triangle into the formula of the surface area of an equilateral triangle.
[tex]S.A = base area + \frac{1}{2}(perimeter * slant height)\\S.A = 46.74 + \frac{1}{2}(31.17*12)\\S.A = 46.74 + 374.04\\S.A = 420.78m^2[/tex]
The surface area of the equilateral triangle is 420.78m^2
Jonathan will need a warping paper of 420.78m^2
Learn more on surface area of an equilateral triangle here;
https://brainly.com/question/14886715
Answer:c
Step-by-step explanation:
Define the algebraic terms by counting how many terms given on the expression below.
4x + 3n + 5
Answer:
Two terms ( [tex] x [/tex] and [tex] n [/tex])
Step-by-step explanation:
If simplified it gives 3n+4x+5
And cannot be factored
=======================================================
We're given the following expression:
[tex]\bigstar{\boxed{4x+3n+5}[/tex]
Here,
4x is a term
3n is a term
5 is a term
4 is the coefficient of x
x is a variable
3 is the coefficient of n
n is a variable
5 is a constant
Details:-
A coefficient is a number before a variable
A variable is a letter
A constant is a number without any variables next to it
=========================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
[tex]5xy { - x} ^{2} {t} + 2xy + 3x {}^{2} t[/tex]
what's the answer
Answer: 7xy + 2x^2t
Step-by-step explanation:
A pencil has a mass of 25 grams of there are 8 pencils what is the total mass of all the pencils
Answer:
200g/0.2kg
Step-by-step explanation:
8 × 25g = 200g
The total mass of the pencil is 200 grams.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
A pencil has a mass of 25 grams.
there are 8 pencils.
Total number of pencils = 8
Mass of each pencil = 25 grams
Total mass of the pencils = 8 × 25 = 200 grams
Hence the total mass is 200 grams.
Learn more about Multiplication here :
https://brainly.com/question/29153616
#SPJ2
what is 6(8x+1) equil to ?
Hello!
Let's use the Distributive Property & simplify:
6(8x+1)
distribute 6 by multiplying it times 8x and 1:
48x+6
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Answer:
[tex]\displaystyle 6 + 48x[/tex]
Step-by-step explanation:
[tex]\displaystyle 6[8x + 1] \hookrightarrow \boxed{48x + 6}[/tex]
I am joyous to assist you at any time.
Factor 5x2y + 22xy – 15y.
Answer:
5y(x^2 - 3)
Step-by-step explanation:
Hope this helps :)
X^2 - 2x = 8
Find the value of X
To find the solutions to the quadratic equations
⇒ factor the equation
[tex]x^2-2x = 8\\x^2-2x-8=0\\(x-4)(x+2) = 0[/tex]
Now to find the exact solutions, we have to set 'x - 4' and 'x + 2' equal to 0
[tex]x - 4 = 0\\x = 4\\\\x + 2 = 0\\x = -2[/tex]
Thus the solution to this problem is -2 and 4
Hope that helps!
Answer:
4 and - 2
Step-by-step explanation:
x² - 2x = 8
x² - 2x - 8 = 0
x² + 2x - 4x - 8 = 0
x ( x + 2 ) - 4 ( x + 2 ) = 0
( x + 2 ) ( x - 4 ) = 0
x + 2 = 0
x = - 2
x - 4 = 0
x = 4
The values of x are - 2 and 4.
What equation results from completing the square and then factoring?
x^2 + 4x = 5
A. (x + 2)^2 = 3
B. (x + 2)^2 = 7
C. (x + 2)^2 = 1
D. (x + 2)^2 = 9
Answer:
(x+2)^2 = 9
Step-by-step explanation:
To complete the square we need to add 4 to both sides of the equation,
Why we add 4 to both sides? Because if we add it to one side only, the equation will turn into an inequation
x^2 + 4x + 4 = 5 + 4
x^2 + 4x + 4 = 9 and the factor of the expression is (x+2)*(x+2) = 9
(x+2)^2 = 9
A rectangular table cloth measures 150cm by 200cm.the area of the table cloth in square meters is ?
Answer:
30,000
Step-by-step explanation:
150 x 200
Explanation:
To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.
Rectangular rug has a perimeter of 3320 inches the length is 25 inches more than twice the width find the length and width of the rug
Answer:
length= 1115 inches
width= 545 inches
Step-by-step explanation:
The perimeter of the rectangular rug is the sum of the lengths of all its sides.
Start by defining the variables that we are going to use throughout our working.
Let the length and the width of the rug be L and W inches respectively.
Perimeter= 2(L +W)
Given that the length is 25 inches more than twice the width,
L= 2W +25 -----(1)
3320= 2(2W +25 +W)
Divide both sides by 2:
1660= 2W +W +25
1660= 3W +25
3W= 1660 -25
3W= 1635
Divide both sides by 3:
W= 1635 ÷3
W= 545
Substitute W= 545 into (1):
L= 2(545) +25
L= 1115
Thus, the length and width of the rug is 1115 and 545 inches respectively.
I need help with this question please
Answer:
Step-by-step explanation:
As ABCD is a rectangle, ∠A = 90°.
Diagonal BD will be the hypotenuse.
[tex]Sin \ 53^{ \circ} = \sf \dfrac{opposite \ of \ angle \ 53}{hypotenuse}\\\\\\0.7986=\dfrac{AB}{42.3}\\\\\\0.7986*42.3=AB\\\\\bold{AB = 33.8}[/tex]
Length = AB = 33.8 cm
[tex]\sf Cos \ 53^{ \circ} =\dfrac{adjacent \ side \ to \ angle \ 53}{hypotenuse}\\\\\\0.6018 = \dfrac{AD}{42.3}\\\\\\0.6018*42.3 =AD\\\\\bold{AD = 25.5 }[/tex]
Width = 25.5 cm
Sayeed is buying a crate for his puppy. The crate is 20 inches long, 13 inches wide, and 16 inches high. What is the volume of the crate?
I have a question whats 2+2
Answer:
22
Step-by-step explanation:
You add the to numbers together and the answer will be 22
I hope it helps! Have a great day!
Muffin ^^
How do you solve this?
Answer:
22
Step-by-step explanation:
5x + 8 = 118
5x = 110
x = 22
2. An object of mass 20kg is released from a height of 10m above the ground level. The kinetic energy of the object just before it hits the ground is (g=10ms-²
Answer:
2000j
Step-by-step explanation:
Kinetic Energy = mgh
= 20 x 10 x 10 J
= 2000J
a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?
(someone asked this question but all the answers were wrong, so I am letting you know that the correct answer is 83.3%)
Answer:
83.3%
Step-by-step explanation:
pls help me how do they get 9 7/5 = 10 2/5 ( its in the example number 1) plss help me i don't know :⊂
Answer:
INSTRUCTION FOLLOWED: write the sum as a mixed number where the fractional number is less than one.5/5 out of the 7/5 make ONE whole while 2/5 is left over.
The ONE whole is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
Step-by-step explanation:
INSTRUCTION FOLLOWED: write the sum as a mixed number where the fractional number is less than one.5/5 out of the 7/5 make ONE whole while 2/5 is left over.
The ONE whole is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
can you please help me
Answer:
Angle ABC = 6x
Step-by-step explanation:
this is an isosceles triangle so the values of angle ACB and angle ABC are the same.