I NEED HELP!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
1(
m<1= 62°
2)
m<1=90°
3)
180-70-65=45
m<1= 45°
4)
180-90-30=60
m<1= 60°
a polynomial function with rational coefficients has the given roots. find two additional roots -2i and square root of 10
Answer:
(-2)(100) or 10^2 is 100
Step-by-step explanation:
(x -2)(x+100) =x
Additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).
What is conjugate of complex number?
" If z = a +bi be the given complex number, then its conjugate is represented by [tex]\bar{z}[/tex] = a -bi , where real parts remain same only imaginary part get changed with opposite sign."
Theorem used
Conjugate Root theorem
Complex conjugate root theorem states that if P(x) is a polynomial in one variable with real coefficient , for P(x) if one root is a + bi with real numbers a and b then its conjugate that is a - bi is also another additional root of P(x).
According to the question,
Two given roots of polynomial function with rational coefficients are -2i and √10.
As per Conjugate root theorem,
Here one root is 0 - 2i then other root is its conjugate 0 + 2i
Also one root is 0 + √10 then another root is 0 - √10.
Therefore, two additional roots are 2i and -√10.
Hence, additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).
Learn more about conjugate of complex number here
https://brainly.com/question/18392150
#SPJ2
Find the missing angle measure. PLEASE HELP ASAP
Answer:
Angle 1 is 57 degrees
Angle 3 is 57 degrees
Angle 4 is 123 degrees
Step-by-step explanation:
Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57
Then for angles one you do the same maththat you do for finding angle 3
Then for angles 4 subtract 180-57=123
need help on this !!!!!
Answer:
17
Step-by-step explanation:
Remark
In this formation, the chords cut each other so that
Equation
(3x - 1) * 3 = 12*(x -2) Remove the brackets.
Solution
9x - 3 = 12x - 24 Add 24 to both sides.
9x - 3 + 24 = 12x - 24 + 24 Combine
9x + 21 = 12x Subtract 9x from both sides
9x - 9x +21 = 12x - 9x
21 = 3x Divide by 3
21/2 = 3x/3
7 = x
Find QR
QR = 12 + x - 2
QR = 10 + 7
QR = 17
Solve and reduce to lowest terms:
5x2/7
Answer:
10/7
Step-by-step explanation:
5*2/7=10/7
Answer:
10/7 or 1 3/7
Solve the following system of linear equations using elimination.
−2x+7y=16
8x−6y=24
Answer:
mark brainlist please
Step-by-step explanation
-2x+7y=16 x=-8,0 y=0,16/7
8x-6y=24 y=(3,0) x=(0,-4)
HELP. Pleaseee. I have no idea what this means.
Answer:
2
Step-by-step explanation:
roots are the intercepts at the x axis I believe
Jake earns $12 for each hour worked. The equation y = 12x can be used to model this situation, where x represents the number of hours worked and y represents the total amount earned.
What is the independent variable?
A. The value 12 in the equation
B. The total amount of money earned
C. The number of hours worked
D. Cannot be determined from the given info.
Answer:
it'll be B
Step-by-step explanation:
ive took the test turned out i got it right
Segment AB is being dilated with the center at the origin. The image of A, point A prime, has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B prime?
Step-by-step explanation:
The location of A is 3.2
The location of A' is 6.4
A represent pre image A' represent the new image.
The scale factor of A to A' is 2 since 3.2 x 2 =6.4
Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.
Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).
Step-by-step explanation: i hope this helps im sorry if this didnt help
what's
[tex] \sqrt{225} [/tex]
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
15
Step-by-step explanation:
Hope it is helpful....
Answer:
The Square root of 225 is 15
Which is heavier, 4 and a half pounds or 80 ounces
Answer:
80 ounces is heavier by 8 ounces or half a pound
Step-by-step explanation:
1 pound = 16 ounces
4.5*16= 72 ounces
How do you know
the quotient of 639 /
6 is greater than
100 before you actually divide
Answer:
because since the question is 639 / 6
we immediately know that 600 / 6 is 100
639 / 6 = 106.5
Answer:
You just need a little conversion to get the answer.
[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]
1.9y=11.78 ahhh helppp
Answer:
6.2
Step-by-step explanation:
Divide 11.78 by 1.9. Then you will get 6.2.
Your welcome in advanced.
-YourAverage10YearOld
help me please I don't understand this lesson
CAN SOMEONE PLEASE HELP THIS IS DUE AT MIDNIGHT (I’ll give brainlist)
Answer:
d° = 62°
e° = 90°
f° = 27°
g° = 27°
h° = 118°
j° = 62°
k° = 63°
Step-by-step explanation:
The relationship between the given angles are;
k° = 63° (Vertically opposite angles)
63° + f° = 90° (Given complementary angles)
∴ f° = 90° - 63° = 27°
f° = 27°
g° = f° (Vertically opposite angles)
∴ g° = f° = 27°
g° = 27°
e° + 63° + f° = 180° (The sum of angles on a straight equals 180°)
∴ e° = 180° - (63° + r°) = 180° - (63° + 27°) = 90°
e° = 90°
h° = 118° (Vertically opposite angles)
118° + d° = 180° (The sum of angles on a straight equals 180°)
∴ d° = 180° - 118° = 62°
d° = 62°
j° = d° (Vertically opposite angles)
∴ j° = d° = 62°
j° = 62°
b) If f(2x - 3) = 4x + 5, then find f(x) and f(-2).
c) If f(x) = 7* then prove that
f(m + n + p) = f(m) . f(n) f(p)
pls solve at least 1 only if u know
f(2x-3)=4x+5
Let, 2x-3=g
x=(g+3)/2
So,f(2{g+3}/2 -3)=4(g+3)/2 + 5
f(g)=2g+11
So,f(x)=2x+11
f(-2)=7 ##
Answer:
f(2x - 3) = 4x + 5
f(2x-3)=2(2x-3)+11
f(x)=2x+11
f(-2)=2×-2+11=-4+11=7
Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. For how many hours would both
companies charge the same amount, and what would that charge be?
The sum of three numbers is 212 .If the ratio of the first to the second is 13:16 and that of the second to the third is 2:3 then find the numbers.`
Given:
The sum of three numbers is 212 .
The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.
To find:
The unknown numbers.
Solution:
We have,
First : Second = 13:16
Second: Third = 2:3
We need to combine these ratios, to get a single ratio for all three numbers.
Second: Third = 2×8:3×8 = 16:24
Now,
First: Second: Third = 13:16:24
Let the first, second and third numbers are 13x, 16x and 24x respectively.
[tex]13x+16x+24x=212[/tex]
[tex]53x=212[/tex]
[tex]x=\dfrac{212}{53}[/tex]
[tex]x=4[/tex]
So, the numbers are,
[tex]First=13x[/tex]
[tex]First=13(4)[/tex]
[tex]First=52[/tex]
Similarly,
[tex]Second=16x[/tex]
[tex]Second=16(4)[/tex]
[tex]Second=64[/tex]
And,
[tex]Third=24x[/tex]
[tex]Third=24(4)[/tex]
[tex]Third=96[/tex]
Therefore, the three unknown numbers are 52, 64, 96.
if i had 2 cats and my mom bought me 4 dogs how many animals is that in total
Answer:
2 cats + 4 dogs = 6 animals in total.
:)
HELP ASAP PLS PLS PLS
Answer: vertical
Step-by-step explanation:
Answer: its A
Step-by-step explanation:
Find three consecutive even integers such that the product of the first and second is 8 more than 38 times the third.
Answer:
40, 42 and 44
Step-by-step explanation:
Mark these even consecutive integers as (2n-2), 2n and (2n+2)
Note that since they are integers, n > 0 and 2n is always even
Writing the equation
(2n-2) * 2n = 38 * (2n+2) + 8
// divide both sides by 2
(2n-2) * n = 19 * (2n+2) + 4
[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4
[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0
[tex]2n^{2}[/tex] - 40n - 42 = 0
// divide both sides by 2
[tex]n^{2}[/tex] - 20n - 21 = 0
// rewrite the equation
[tex]n^{2}[/tex] + n - 21n - 21 = 0
n * (n+1) - 21n - 21 = 0
n * (n+1) - 21 * (n+1) = 0
(n+1) * (n-21) = 0
// separate the two possible cases
n + 1 = 0 and n - 21 = 0
n = -1 n = 21
Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21
Calculating the consecutive even integers
2n - 2 = 2 * 21 - 2 = 40
2n = 2 * 21 = 42
2n + 2 = 2 * 21 + 2 = 44
The ratio of men and women at a class is 6 to 5. how many women are their if their are 3600 men?
Answer:
3,000
Step-by-step explanation:
6:5
1.2( divided 6 by 5):1 (Divide 5 by 5)
3600 divided by 1.2
3,000
Write the equation of the line graphed below
Answer:
y = 5/8x + 12
Step-by-step explanation:
Slope = change in y/change in x
slope = 5/8
Using y = mx + b find b.
y = 5/8x + b
-2 = 5/8(-4) + b
b = 1/2
y = 5/8x + 12
good luck, i hope this helps :)
If jon had 2,881 and tia had 4,163 how much more money tia has then jon
Answer:
Tia has $1,282 more than Jon
Step-by-step explanation:
4,163-2881 = 1282
Tia has $1,282 more than Jon
Answer:
1282
Step-by-step explanation:
If a coin is tossed 2 times, and then a standard six-sided die is rolled 2 times, and finally a group of two cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
Answer:
190,944 possibilities
Step-by-step explanation:
2 x 6 x 52 x 51
How do you find surface area of a pyramid on a prism
help me ya'll so i can go to bed! (slopes) (brainliest)
Answer:
i dont know
what you wanna know
Step-by-step explanation:
Identify the coordinates (x₁,y₁) and (x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).
Input the values into the formula. ...
Subtract the values in parentheses to get 2/ (-5).
Simplify the fraction to get the slope of -2/5.
Go to sleep this is a lullaby slopes slopes slopes over here over there slopes everywhere.
thx for points
Gabby has $1,506 in a savings account that pays 2.5% simple interest. How much interest will she earn in 3 years?
Answer:
$112.95
Step-by-step explanation:
Use the simple interest formula, I = prt
Plug in the initial amount, interest rate, and number of years
I = prt
I = (1506)(0.025)(3)
I = 112.95
So, the interest created in 3 years is $112.95
6. 14.8 divided by 0.08
Answer:
185
Step-by-step explanation:
14.8 / 0.08 = 185
Best of Luck!
Answer:
185
Step-by-step explanation:
next time you get a question like that use symbolab
Steven has 1 bag that contains disks numbered 1, 2, 3. He also has a second bag that contains four disks named A, B, C, and D. Construct a sample space of picking one disk randomly for each bag and state the total of outcomes possible
Answer:
Total possible outcomes = 12
{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}
Step-by-step explanation:
Bag 1 = { 1, 2, 3}
Bag 2 = {A, B, C, D}
Sample space :
Size of bag A * size of bag B
3 * 4
= 12