Given:
The three equations for the three numbers are
[tex]a=x^2-y^2[/tex]
[tex]b=2xy[/tex]
[tex]c=x^2+y^2[/tex]
To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get
[tex]a=4^2-1^2[/tex]
[tex]a=16-1[/tex]
[tex]a=15[/tex]
In the same way find b and c.
[tex]b=2(4)(1)[/tex]
[tex]b=8[/tex]
The third number is
[tex]c=4^2+1^2[/tex]
[tex]c=16+1[/tex]
[tex]c=17[/tex]
The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.
f(x) = 3x^4 + 19x^3 + 69x^2 + 99x + 26
a) Use the Rational Zeros Theorem to list all the possible rational zeros of f(x). List all possible zeros.
b) Use synthetic division and the possible rational zeros above to obtain the FIRST zero. What is the first zero you used? Show the steps used using synthetic division that you
used to arrive at the answer.
c) Use synthetic division and the possible rational zeros to obtain the SECOND zero. What was the second zero you used? Show the steps used using synthetic division that
you used to arrive at the answer.
d) Find the remaining zeros by using factoring, the square root property, or the
quadratic formula.
e) List all the zeros
Show all the work
Answer:
sorry
Step-by-step explanation:
6b + 2bc - 4b divided by c ; b = 10 , c = 5
Answer: 32
Work in the picture!
Mark brought chocolate and vanilla cupcakes to school for his birthday
100 students decided to take a cupcake, and 80% of them picked vanilla.
How many people picked a vanilla cupcake?
Answer:
80 students decided to take a vanilla cupcake.
Step-by-step explanation:
100 * 0.80 = 80
Solve 4 5/6 + 9 5/9 for the answer
Answer:
259 /18 = 14 7/18 ≈14.389
Step-by-step explanation:
Zeros of the function of x = -6, and x = -2
Answer:
Step-by-step explanation:
If x=(-2,-6) are zeros of the function y then
y=(x+2)(x+6) which expands to
y=x^2+8x+12
Fill in the Blank:
1. A binomial expression that differs only in the second term is called a
_______.
Answer:
The exponent of the second term (b) starts with 0 (b0 = 1) and then increases by one in each following term until it is equal to the exponent of the binomial (5).
Step-by-step explanation:
Please help me.......
Can someone tell me what x equals!
Answer:
12
Step-by-step explanation:
hope u find this helpfull
Answer:
Step-by-step explanation:
x = 12
the triangle was made smaller (i forget what the term is)
it was made smaller by [tex]1\frac{1}{3}[/tex]
to find that you divide 24 by its equivalent side on the other triangle which would be 18
24 / 18 = [tex]1\frac{1}{3}[/tex]
to find what x is equal to you have to find the equivalent side on the other triangle. this would be 16. since the triangle with 16 is bigger the equation is:
16 / [tex]1\frac{1}{3}[/tex] = 12
so x = 12
find the gradient of the line passing through (6,8) and (4,10)
Question:
Find the gradient of the line passing through (6,8) and (4,10).
Answer:
-1 is the right answer.
Step-by-step explanation:
Slope of the line = The gradient of the line
Gradient of the line is known as change in the value of y-axis by change in the value of x-axis
Gradient = ∆y\∆x
[tex] Gradient = \frac{y_ 2 - y_1}{x_2 - x_1} = \frac{(10 - 8)}{(4 - 6)} = \frac{(2)}{(- 2)} =\boxed{- 1}\\[/tex]
What’s the area? For this
to figure out the area you have to use the formula 1/2 base times height.
-16t^2 + 121t + 1
Help me pleaseeee!
Which are the solutions to 49x2 – 36 = 0
A. r=
7
ő
C. x=+
7
B. x=
49
36
D. No real solution
PLEASE ASAP I NEED HELP ON THIS PROBLEM
Answer: to be true I don't understand this
Step-by-step explanation:
someone pls help me!!
Answer:
[tex] r = \frac{12\sin 20\degree}{ \sin 35\degree } [/tex]
Step-by-step explanation:
By sine rule
[tex] \frac{r}{ \sin \angle R } = \frac{p}{ \sin \angle P} \\ \\ \frac{r}{ \sin 20\degree } = \frac{12}{ \sin 35\degree } \\ \\ r = \frac{12\sin 20\degree}{ \sin 35\degree } [/tex]
If f(x) = 2(3x) + 1, what is the value of f(2)?
What is 4 1/4 - 1 7/8?
Answer:
[tex]4 \frac{1}{4} - 1 \frac{7}{8} = 2 \frac{3}{8} [/tex]
For these questions find the probability of drawing the given cards at random from a standard 52-card deck under each condition: (a) with replacement and (b) without replacement. Write your answers as fractions in simplest form.
2) A club, then a spade
a. With replacement
b. Without replacement
3) An ace, then a queen
a. With replacement
b. Without replacement
Answer:
2
a) 6.37%
b) 6.25%
3
a) 0.60 %
b) 0.59 %
Step-by-step explanation:
2 )
a) With replacement
Probability of extracting a club is 13/52
Probability of extracting a spade is 13/51
13/52 * 13/51
= 6.37 %
b) Without replacement
13/52 * 13/52
= 6.25 %
3) With replacement
Probability of extracting a ace is 4/52
Probability of extracting a queen is 4/51
4/52 * 4/51
= 0.60 %
b) Without replacement
4/52 * 4/52
= 0.59 %
Paul organised an event for a charity.
Each ticket for the event cost £19.95
Paul sold 395 tickets.
Paul paid costs of £6000
He gave all money left to the charity
Work out the an estimate for the amount of money Paul gave to the charity?
Answer:
The answer is 2000. Hope this helps! If I could have brainliest I'm trying to rank up :)
Step-by-step explanation:
This question asks us to estimate the amount of money Paul gave to Charity.
To work out an estimate we must start by rounding the numbers we are given to 1 significant figure and the
Starting with 19.95 --> this rounds to 20 and 395 rounds to 400.
Then we have to multiply these numbers together:
20 x 400 = 8000
3. Finally subtract 6000 from our estimate
8000-6000=2000
The answer is 2000.
Solve the system of equation 2x + y = -4 and 5x – 3y = 1 by the method of elimination
Step-by-step explanation:
first step while implementing the elimination method is to look at the numbers which can be multiplied to which in order to have like terms as solved below
as you can see in equation number 2 that the number three can be multiplied with equation 1 in order to have like terms so you can cancel them out
so , multiply 3 with the whole of equation 1
3( 2x + y = -4 )
= 6x + 3y = -12
( keep in mind the sign of the number)
5x -3 y = 1
now ,
we have
6x + 3y = -12
5x -3y = 1
as you can see that now we have like terms and when we add both these equations the like terms cancel out each other as they have opposite signs ( + - gives you - )
so , once you add the like terms this is what you will get
6x + 5x +3y-3y -12+1
= 11x + 0 - 11
then you can simplify this further for x first
11x = 11
x = 11/11
x = 1
now we have the value of x let's simply further for y
let's take equation 2
5(1) - 3y =1
5 -3y = 1
5-1 = 3y
4 = 3y
4/3 = y
to confirm your values you can put these values in one of the two equations given initially , let's use equation two to check .
5x-3y = 1
( now let's place the values of x and y into the equation and see if our answer is 1 )
5 (1) - 3 (4/3)
= 5 - 4
= 1
it is correct
I need these questions done. I'm lost. And all my points are gone pls help............................................................................
Answer:
Step-by-step explanation:
(x+1)(x+6)/(x+1) = x + 6
(x-19)(x+2)/(x+2)= x - 19
(x-8)(x-2)/(x-2)= x - 8
Answer:
x+6 x-19 x-8 from top to bottom
Step-by-step explanation:
Hope this helps give brainliest if you can
I need help ASAP will mark you the brainliest
Answer:
B
Step-by-step explanation:
<DCE = BCA (vertical angles are congruent)
DC corresponds to CB,
DC/CB = 15/5 = 3
EC corresponds to CA,
EC/CA = 12/4 = 3
Thus, two sides in ∆ABC are proportional to two corresponding sides in ∆EDC, and also, the included angle in ∆ABC and ∆EDC are congruent to each other. Therefore, based on the SAS Similarity Theorem, ∆ABC and ∆EDC are similar.
What is the measure of angle Q?
A. 27°
B. 33°
C. 40°
D. 120°
Answer:
27 degrees ( option A)
Step-by-step explanation:
It is the only option that is smaller than 33 degrees, (which is because SRT ~ PQB) and it is dilated by a fraction
Answer:
q=33
Step-by-step explanation:
is the correct answer because we can see that r=q
what is -3(2m-5)=1/2(-12m+30)
Answer:
answer is 0
Step-by-step explanation:
What three consecutive even integers have a sum of 78
Answer:
24,26,28
Step-by-step explanation:
78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers
List all number from the given set that are: real number, whole number, integers, natural number, rational numbers and irrational number
(-3, -2/7,0,0.75, square root of 5,2.6, square root of 36)
Determine the values of the variables that will prove the figures similar
Will make brainliest answer!!!!
Is the sequence 4, 8, 12, 16, 20, ... a geometric sequence? If it is a geometric sequence, what is the common ratio?
Answer and Step-by-step explanation:
This sequence is NOT a geometric sequence.
It is an arithmetic sequence, because the numbers are going up using addition, going up each time by 4.
#teamtrees #PAW (Plant And Water)
I NEED HELP PLZ WILL GIVE BRAINLYIST FOR CORRECT ANSWER (NO LINKS)
Answer:
Carter scored 21 points
Step-by-step explanation:
If Denise scored 3 fewer points, then you would add three to 18 to get the number of points that Carter scored.
18 + 3 = 21
Kate bought a house for 198,000 and then sold it for 230,000 when you’re later. What is the profit as a percentage?
Answer:
16.16%
Step-by-step explanation:
calculate the percent change
Help me plzzzzzzzzzZzzzzzzzzzZ
Answer:
Option A is correct answer..
Pls sandhya se baat karado yaar ,
nhi to mai mar jaunga .
Pls sandhya baat karlo na yaar .
ʜᴀᴠᴇ ᴀ ɢᴏᴏᴅ ᴅᴀʏ
❥︎ ʏᴜɢᴀʟᵇᵒˢˢ!
Answer:
its A
Step-by-step explanation: