Step-by-step explanation:
If -5 is a zero, then one of the factors must be (x+5). Typically, a problem will give you one complex root (zero), but you must infer that its conjugate is always another root. In this case, since 2+6i is a root, then 2-6i must also be a root.
Those factors must then be (x-(2+6i)) and (x-(2-6i))
To get the final polynomial, multiply the factors together: (x+5)(x-2-6i)(x-2+6I)
I would multiply the complex factors first since they will typically simplify to a more workable expression.
(x - 2 - 6i)(x - 2 + 6i) = x2 - 2x + 6xi - 2x + 4 - 12i - 6xi + 12i - 36i2
= x2 - 4x + 40
Then multiply this trinomial by the final factor: (x2 - 4x + 40)(x + 5)
= x3 + 5x2- 4x2- 20x + 40x + 200
= x3 + x2 + 20x + 200
To get a coefficient of 3, multiply this polynomial by 3.
3(x3 + x2 + 20x + 200) = 3x3 + 3x2 + 60x + 600
Answer: 3x3 + 3x2 + 60x + 600
Segment AB and segment CD intersect at point E. Segment AC and segment DB are parallel. If m∠A=41m∠A=41o and m∠D=56m∠D=56o, find the m∠AECm∠AEC.
Answer:
m∠AEC = 83°
Step-by-step explanation:
∠C and ∠D are alternate angles and are congruent because segment AC is parallel to DB
Therefore, m∠C = 56°
Sum of measures of angles of a triangle is 180.
So, m∠A + m∠C + m∠AEC = 180
41 + 56 + m∠AEC = 180
m∠AEC + 97 = 180
m∠AEC = 83°
A church is packing Thanksgiving baskets. Each basket weighs 30 pounds. Here are two situations. For each situation, write an equation to represent the situation. If you get stuck, consider drawing a diagram. Each basket contains 3 identical bags of stuffing and a 6-pound bag of rice. Each basket contains 3 boxes. Each box contains a 6-pound bag of rice and a bag of stuffing. The bags of stuffing are all identical.
Answer:
3x + 6 = 30
Step-by-step explanation:
plsss help i’ll give brainly...but pls give a correct answer
Answer:
3
Step-by-step explanation:
Terms are separated by symbols for operations (like plus, minus, multiply, divide.)
So your terms would be
8y
+z
-6
Figure B is a scale image of Figure A, as shown.
Please help
Answer:
Scale factor: 2
Step-by-step explanation:
In figure A the parralellagram his sides of 4 and 7. Figure B has sides of 8 and 14, which are double the sides of figure A.
14/7 = 2
8/4 = 2
Therefore the scale factor is 2
What is the sum of 7 3/16+3 3/4
Answer:
10.9375
Step-by-step explanation:
Answer:
10.9375
Step-by-step explanation:
After 10% tax, the phone cost $220. What was the original price?
Answer:
$198
Step-by-step explanation:
To find how much the tax was, we multiply 10% by 220. We do this in decimal form, so we write it as 0.1*220. 0.1*220 is 22. Although, we don't stop there. Now that we know how much tax is, we must subtract the tax from the price with tax to find the OG price. 220-22 is 198. That means our answer is $198. Hope this helps!
A large concrete block is used for the cornerstone of a building. The block is 132 in deep, 120 in wide, and 156 in long. What volume of concrete is needed to make this block?
Answer:1430 ft^3
Step-by-step explanation: you have to divide by 36
Please answer the following question for 85 points.
Answer:
188.4 cm²
Step-by-step explanation:
Surface area of rectangles :-
A = 15cm * 5 cm * 2 A = 150 cm²Surface area of triangles :-
A = 2 * 1/2 * 4cm * 4.6 cm A = 18.4 cm²Surface area of middle rectangle :-
A = 4cm * 5cm A = 20 cm²Total Area :-
A = ( 150 + 18.4 + 20 ) cm²A = 188.4 cm²Answer:
Solution given:
Total surface area of triangular prism=
area of two triangle +2*area of rectangle+area of base
=2*½*4*4.6+2*15*5+15*4
=228.4cm²
The area of triangular prism=228.4cm²
Find the volume of a cylinder either enter an exact number in the terms of pi areU3.14 for pie 5 and 2
Answer:
[tex]V=384\pi \ \text{unit}^3[/tex]
Step-by-step explanation:
The attached figure shows a cylinder of radius 8 units and height 6 units. We need to find the volume of the cylinder. The formula is as follows :
[tex]V=\pi r^2h\\\\V=\pi (8)^2\times 6\\\\V=384\pi[/tex]
So, the required volume of the cylinder is [tex]384\pi \ \text{unit}^3[/tex].
Mrs.Diya and her mother-in-law are both school teachers and earn Rs.16,800 and Rs. 10,500 per month respectively. Ratio of distance to the school from their home, to the distance to the school from their colleague John’s home is 2 : 1.
1) If the distance to John’s home from the school is 12 km, what is the distance from school to Mrs. Deewan’s home?
2)If John’s earning twice the income of that of the mother in law, what is the ratio of their wages?
3)Who lives nearer to the school?
i need the correct answer and a proper answer with WORKING or else i will report
Answer:
1. the distance from the school to Mrs Deewan's home = 24km
2. John's wage to the mother-in-law's wage = 2:1
Mother-in-law's wage to John's = 1:2
3. John lives nearer the school
Step-by-step explanation:
1. The ratio of the distance between Mrs Diya's (Deewan's) home and John's home to school = 2:1.
This means that the distance of Mrs Diya's home is twice that of John's home to school. Therefore if John's home from school is 12km;
Mrs Diya's home = 12 × 2 = 24km
2. If john earns twice the income of the mother-in-law, the ratio of the wages is as follows:
John's wage to the mother-in-law's wage = 2:1
Mother-in-law's wage to John's = 1:2
3. John lives nearer the school. From the calculation we've done in 1 above, you can see that the distance between John's home and the school = 12km, while the distance between Mrs Diya's home and the school is 24km, therefore, John lives nearer the school.
Find the missing measurement using the pathagreham theorem. Show steps
a^2+b^2=c^2
a=15
b=25
15^2=225
25^2=625
225+b^2=625
b^2=400
b=20
Step-by-step explanation:
you can use right angle triangle to do the calculation
Rita wants to know if seventh-grade students prefer to do their social studies homework in silence or with background music. She polled the 30 students in her music class. Ten students preferred to do their social studies homework in silence, and twenty students preferred to do their social studies homework with background music.
Answer:
They prefer to do their homework with music
Step-by-step explanation:
Because there is more students who want music
PLEASE HELP!!! Find the values of x and y for which the lines are parallel.
Answer:
x = 68
y = 72
Step-by-step explanation:
if the lines are parallel, then x-3 = 65
x = 68
(68 - 3) + 46 + y - 3 = 180
y = 72
The great pyramid in Egypt has a square base with a side length of 250 ft. It’s height is twice the size of the length of a side of its base. What is the Volume of the great pyramid?
Answer:
Step-by-step explanation:
base b = 250 ft
height h = 2b = 500 ft
volume V = (⅓)b²h
= (⅓)250²·500
≅ (10,416,666⅔) ft³
An event that is made up of two or more outcomes is called_______
Answer:
Compound Events
Step-by-step explanation:
Find the value of x so that the ratios are equivalent 9:x and 54:8
i cant seem to get it i tried 48 but it said it was wrong
Answer:
The answer is 48
Step-by-step explanation:
What type of graph would have the title, "Favorite TV Show"?
bar graph
line graph
line plot
stem-and-leaf plot
Answer:
line graph
Step-by-step explanation:
line graph
Answer:
bar graph
Step-by-step explanation:
thats what i'm guessing because a bar graphs compares categories
bongani is driving at a speed of 63 km/h. how far will he travels ( 4,5hours )
Answer:
283.5km
Step-by-step explanation:
Given data
Speed= 63km/h
Time= 4.5hours
We know that speed= Distance/time
Make distance subject of the formula
DIstance= speed*time
Distance= 63*4.5
Distance= 283.5km
Hence the distance is 283.5km
Pls help me with this problem
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
24 min : 56 min
Answer:
6/13
the simplest form of
24 / 56 is
6/13
hope it helps
Colleen earns $5 for each hour of yard work. Write an equation that shows the relationship between the time spent x and the amount earned y.
Write your answer as an equation with y first, followed by an equals sign
Answer:
Easy
Step-by-step explanation:
Y=5x
I hope this helps
ANSWR NOW PLZ I WILL GIVE BRAIN THINGY!
Write and simplify an expression for the exact area of the circular object and Find the area of the circular object, using 3.14 for π (7cm diameter)
(and a pic just in case)
Answer:
round to the nearest 100
Step-by-step explanation:
Round they want you to round
PLEASE HELP ASAP WILL GIVE BRAINLY
1st = (-4,5)
2nd = (-2,3)
3rd = (0,1)
4th = (2,-1)
5th = (4,-3)
help ASAP please! ill mark brainliest if correct
Answer:
B
Step-by-step explanation:
helpppppppppppp WILL MARK BRAINLIST
Answer: 3
Step-by-step explanation:
At x = -2, y = 3
I need this done right now and can you help me with other question. question in picture
Answer:
1 4/5
Step-by-step explanation:
x + 4 / 10 - x and it has given you that x = 5. Basically plug 5 in the x place and solve.
x + 4 / 10 - x
5 + 4 / 10 - 5
9 / 5
1 4/5 (Option D)
Hope this helps, thank you :) !!
I need serious help
Answer:
a. 3
b. 12
c. 4
Step-by-step explanation:
the equation is y= -3x+ 12, so the slope says you will lose 3 gallons of gas every hour
HELP PLEASE WORTH 30 POINTS
D.) (5 + 2) divided by (2 + 3)
The question can also be written like this.
7 divided by 5
In the end the finished quotient comes out as a divided number whereas you had to do what was in the parentheses first (PEMDAS)
Parentheses
Exponents
Multiplication
Division
Addition
Subtracting.
-R3TR0 Z3R0
We’re getting married bro
Answer:
It's not that hard so lets get a divorce bro
Step-by-step explanation:
Solve the whole problem i give brainliest please help me.
Answer:
The inequality will be $75x + $25 ≤ $340
and the amount of days that she can afford the vehicle is 4.2
Step-by-step explanation:
if you subtract 25 from both sides, you'll get
75x ≤ 315
and when you divide both sides by 75, you'll get 4.2, or 4 days