Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
A soccer goal, as shows below, is composed of a pair of 8foot upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal. A soccer ball is positioned directly in front of the right goal post. If the ground distance from the ball to the right goal is 14ft, what is the ground distance from the ball to the left goal post?
Answer:
The distance from the ball to the left post is 50 feet.
Step-by-step explanation:
Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:
A ^ 2 = B ^ 2 + C ^ 2
A ^ 2 = 14 ^ 2 + 48 ^ 2
A ^ 2 = 196 + 2,304
A = √2500
A = 50
Thus, the distance from the ball to the left post is 50 feet.
0
-3 < n < 1
n is an integer.
Write down the possible values of n.
Answer:
-2,-1,0
Step-by-step explanation:
the integers between -3 and 1, not including -3 and 1 are
-2,-1,0
x/5 + 2 = 19 x______
Answer:
47x=5
or 5/47
Step-by-step explanation:
Answer:
x=85
Step-by-step explanation:
x/5 + 2 = 19
5(x/5 + 2) = 5(19) *multiply both sides of the equation by 5 to get rid of the fraction
x + 10 = 95
x = 85 *subtract 10 on both sides
Check:
x/5 + 2 = 19
85/5 + 2 = 19
17 + 2 = 19
19 = 19
For every $10,000 a company earns, it gives $500 to charity. How much does the company give to charity for every $1 earned?
Answer:
$0.05 i think
Step-by-step explanation:
Please, I need help with this
Addison and Bert are in the same reading group at school. The book they're reading right now is 256 pages long. Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book. Bert has read 142 pages, and he plans to read 11 pages every day. How many days will it be until Addison and Bert have each read the same number of pages in total? How many pages will they each have read?
Answer: The answer in this photo thanks for a little quiz
The number of day it will be until Addison and Bert each have read the same number of pages in total is 8 days.
What is an equation?In mathematics, an equation is a statement of equality between two expressions, indicated by the equals sign (=). Solutions to equations are the values for unknowns which, when substituted into the expression, make it true.
Given that, the book they're reading right now is 256 pages long.
Let the number of days be x.
Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book.
102+16x -------(i)
Bert has read 142 pages, and he plans to read 11 pages every day.
142+11x -------(ii)
Addison and Bert have each read the same number of pages in total.
So, (i)=(ii)
102+16x=142+11x
16x-11x=142-102
5x=40
x=8
Hence, the number of day it will be until Addison and Bert each have read the same number of pages in total is 8 days.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ3
Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?
A)liz
B)Rick
this is Compare rates: word problems please show and explain the work show WORK
37 degrees Celsius to Fahrenheit
Answer:
98.6 Fahrenheit
Step-by-step explanation:
Find the measure of
Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
A blank is a fraction with a denominator of one
Answer:
Whole Number
Step-by-step explanation:
Answer:
A whole is a fraction with the denominator of one.
Step-by-step explanation:
Write a polynomial in standard form that represents the area of the shaded region.
Answer:
[tex]A=p^2-2p-3[/tex]
Step-by-step explanation:
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base is p + 1 and the height is 2p - 6. Therefore:
[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]
Simplify the second term:
[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]
Distribute:
[tex]A=p(p-3)+1(p-3)[/tex]
Distribute:
[tex]A=p^2-3p+p-3[/tex]
Combine like terms:
[tex]A=p^2-2p-3[/tex]
Sarah has built a scale model of a bridge. The real bridge is 56 ft across and 21 ft wide. Sarah's model is 8 in. across and
2.5 in. wide. Is Sarah's model a true model of the bridge? Explain.
Answer:
Well, there are 12 inches ina foot so let's multiply 56 by 12. Now, divide 672 by 8: 672/8 = 84 So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model. It is not equal, so no, it is not a true scale model.
Step-by-step explanation:
HOPE THIS HELPS!!!
BRAINLIEST PLZ???
Answer:
It is not equal, so no, it is not a true scale model.
Step-by-step explanation:
Well, we need to find the ratio of it and see if both measurements of the 'scale' model are the same. But before we do, take in mind we can't divide 56/8 because 56 needs to be converted into inches.
56 • 12 = 672
divide 672 by 8:
672/8 = 84
So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model
21 • 12 = 252
2.5 • 84 = 210
It is not equal, so no, it is not a true scale model.
Helppppppppppppppppppp I’ll mark you brainlist
Answer:
1
Step-by-step explanation:
you add +6 everytime you up the number :))
Answer:
The missing value of x in this arithmetic sequence is "1"
Step-by-step explanation:
Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.
In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.
From this we know in order to get from x to 7 we added 6, now know this we can make an equation...
x + 6 = 7
And now we just solve it...
x + 6 = 7
x = 7 - 6
x = 1
Use the FOIL Method to find (w+9)(w+6)
Answer:
Step-by-step explanation:
First, outside, inside, last.
w*w
6*w
9*w
9*6
[tex]w^2+15w+54[/tex]
Answer: w^2 + 15w + 54
Step-by-step explanation:
FOIL = first, outside, inside, last.
First —> multiply first numbers of each parentheses.
Outside —> multiple the OUTSIDE numbers in each parentheses (first number in the first parentheses, second number in the second parentheses.
Inside —> multiply the INSIDE numbers in each parentheses (the second number in the first parentheses, first number in the second parentheses).
Last —> multiply second number of each parentheses.
(W + 9)(w + 6)
F = w^2
O = 6w
I = 9w
L = 54
W^2 + 6w + 9w + 54
W^2 +15w + 54
-11r + 88 = 77
Solve for r
Answer:
r=1
Step-by-step explanation:
77 - 88 = -11
-11/-11 = 1
SOMEBODY PLEASE TELL ME HHOW TO MAKE FRACTIONS INTO PERCENTS WORTH 20 POINTS
Step-by-step explanation:
Easy steps!
Turn the fraction into a decimal first (or in other words, divide) (For Example: 1/2 = 0.5)Move the decimal point to the right TWO times, and voila (For example: 0.5 = 50%)Find 39.5% of 373. Round to the nearest hundredth
39.5% of 373. is 147.336
Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC
Answer:
it is b sorry I tried to work out it best have a nice day
Answer:
a=
Step-by-step explanation:
can somebody answer it for me please. simplify and it can only contain positive exponent.
Answer:
1/2m^12
Step-by-step explanation:
simplify the expression :
m^-6/2m^3 x m^3
1/2m^9 x m^3
solution: 1/2m^12
sorry its really hard to explain the steps but I hope I helped you :)
Answer:
[tex]\frac{1 }{2m} ^x{12}[/tex]
Step-by-step explanation:
just take away the X
Please help me pls!!
Answer:
Step-by-step explanation:
Calculating the Perimeter of a Compound Shape made from Rectangles. A compound shape (or composite shape) is a more complex shape that is made up of two or more simple shapes. To find the perimeter, we simply add up the lengths of each outside edge.
HOPE IT HELPS
HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government
The answer is the first one . A
A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?
30
60
45
50
∘
Answer:
a + b + c= 90
30+30+30=90
90=90.
30 is the ans
Answer:
Step-by-step explanation:
50 degree
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Evaluate the expression 9.3^1
Answer:
9.3
Step-by-step explanation:
FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!
If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?
Answer:
a = 3
b = 5
c = -8
abc = -120
Step-by-step explanation:
Answer:
-120
Step-by-step explanation:
sorry just looked at the answer below *HAXZ*:)
Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?
Answer:
They are perpendicular to each other.
Step-by-step explanation:
It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.
Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.
Answer: C they are perpendicular to each other
Step-by-step explanation:
I took the test and got C
What is the distance of
CD
given that
C (5,-2) and D (-3,8)
Leave your answer as a square root.
Answer:
CD = [tex]\sqrt{164}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)
d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]
= [tex]\sqrt{(-8)^2+10^2}[/tex]
= [tex]\sqrt{64+100}[/tex]
= [tex]\sqrt{164}[/tex]
= 2[tex]\sqrt{41}[/tex] ← in simplest form
As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :
[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]
Here,
x₁ = 5x₂ = - 3y₁ = - 2y₂ = 8So, by filling values :
[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]
[tex] \sf : \implies CD = \sqrt{164}[/tex]
Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]
Which of these numbers lines is the X-axis?
Answer:
the one going this way -------------------------- not up and down
Step-by-step explanation:
Answer:
Step-by-step explanation:
the one on the right
can you guys help me?
HAIRCUT Josiah went to the local
barber to get his hair cut. It cost
$18 for the haircut. Josiah tipped
the barber 15%. What was the total
cost of the haircut including the
tip?
someone give the worked solution for this please!!!!
Answer:
The scale Myra should use is one graph unit = 400 km or;
←--→ = 400 km
Step-by-step explanation:
The question relates to the representation of scale drawing
The actual distance between Perth and Sydney = 3294 kilometers
The given coordinates of Perth on the grid = (1.3, 3.4)
The given coordinates of Sydney on the grid = (9.2, 3.3)
The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;
[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]
Therefore, by substitution, we have;
[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]
d ≈ 7.9 units
Therefore, we have;
7.9 units of the graph = 3294 kilometers
1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km
Therefore, the scale Myra should use for her map is 1 unit = 400 km.