Answer:
x²−4x+4 = (x-2)²
x²−4x+4 = 1
(x-2)² = 1
x-2 = ±√1
x = 1+2 or =-1+2
= 3 or = 1
HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!
Answer:
[tex]x=32[/tex]°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}[/tex]
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
Now take the cross product in this equation to simplify it further,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
[tex]17(sin(x))=10(sin(116))[/tex]
Inverse operations, solve this equation for (x),
[tex]17(sin(x))=10(sin(116))[/tex]
[tex]sin(x)=\frac{10(sin(116))}{17}[/tex]
[tex]x=sin^-^1(\frac{10(sin(116))}{17})[/tex]
[tex]x=31.91782...[/tex]
[tex]x\approx32[/tex]
Answer:
hello,
Step-by-step explanation:
the triangle is isocele,
x+x+116=180
x=(180-116)/2
x= 32° (thirty-two , trente-deux in french)
The zeros of a function are the values of x for which the function is equal to zero. Enter a number in each blank to make true statements about the function h(x)=(2x−2)(x−5).
Answer:
i) h(x) = 0 when x = 1, and when x = 5
ii) The graph of h intercepts the x-axis at x = 1 and x = 5
iii) The zeros of h are 1 and 5
Step-by-step explanation:
Question;
From a similar question on the website, we have;
i) h(x) = 0 when x = _, and when x = _
ii) The graph of h intercepts the x-axis at x = _ and x = _
iii) The zeros of h are _ and _
Explanation;
The given function is h(x) = (2·x - 2)·(x - 5)
When h(x) = 0, we have;
h(x) = (2·x - 2)·(x - 5) = 0
Therefore, we have;
(2·x - 2) = 0/(x - 5) = 0
(2·x - 2) = 0
x = 2/2 = 1
x = 1
Where we proceed with (x - 5) = 0/(2·x - 2) = 0, we get;
(x - 5) = 0/(2·x - 2) = 0
(x - 5) = 0
x = 5
Therefore, when h(x) = 0, x = 1, and x = 5
ii) The graph of h intercepts the x-axis at h(x) = 0, at x = 1, and x = 5
Therefore, the graph of h intercepts the x-axis at (1, 0), and (5, 0)
iii) The zeros of h are the values of x for which h(x) = 0, which are x = 1, and x = 5
Find the length of the third side. If necessary, write in simplest radical form
Answer:
5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10^2 = (5 sqrt(5))^2
a^2 +100 = 25(5)
a^2 +100 = 125
a^2 = 125-100
a^2 = 25
Taking the square root of each side
sqrt(a^2) = sqrt(25)
a = 5
Do you think mathematics is used when collecting and reporting your data ? Give your reasons.
Find a recursive rule for the nth term of the sequence.
-7, -42, -252, -1512, ...
Answer:
-7*6^n
Step-by-step explanation:
The sequence is -7*6^n.
A few examples of this are the following,
ex.)
-7*6^0 = -7
-7*6^1 = -42
-7*6^2 = -252
Find the greatest common factor
Answer:
3x^2y^2
Step-by-step explanation:
I think:
3*2*x*x*x*y*y*y*y
3*3*x*x*y*y
3*6*x*x*x*y*y
They all have 3x^2y^2 in common.
Which of the following is the most direct first step in solving the system of equations be-
low using the elimination method?
x + y = 4
2x - y = 2
That is, which of the following would be the first step in a method that would require the
fewest number of steps?
A
multiplying the second equation by -2
B
adding the two equations together
С
multiplying the first equation by -2
D
multiplying both equations by 2
Step-by-step explanation:
Multiply each equation by a suitable number so that the two equations have the same leading coefficient. Step 2: Subtract the second equation from the first. Step 3: Solve this new equation for y. Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
please help! Similarity transformations!! I’ll mark brainliest later on :)
1. 1/2
2. Y
3. 1 left 3 ups. (-1, 3)
Function g can be thought of as a scaled version of f(x)=|x|
Answer:
g(x) = 1/2 |x|
Step-by-step explanation:
Scaling f(x) means it's of the form g(x) = a|x|
From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:
1 = a|2|
a = 1/2
Therefore, g(x) = 1/2 |x|
SOMEONE PLEASE HELP ME OUT ON THIS. PLEASE!
n= 1. then a1= 7+3(1)
How to solve it.
Answer:
I think this is right for the 2nd problem
Step-by-step explanation:
a1=7+(3)(1)
Step 1: Simplify both sides of the equation.
a1=7+(3)(1)
a=7+3
a=(7+3)(Combine Like Terms)
a=10
a=10
Answer:
a=10
Luna flew from Boston to Orlando with a stop in Atlanta to switch planes. The flight from Boston to Atlanta was 3 hours and 30 minutes long. Luna was in Atlanta for 1 hour and 30 minutes, and her flight from Atlanta to Orlando was 1 hour and 15 minutes long. Luna landed in Orlando at 1:45 P.M. What time did Luna's first flight leave Boston?
Answer:
1:15 minuites
Step-by-step explanation:
30 minuites
Answer:
8:30 A.M.
Step-by-step explanation:
Start by adding up the total time spent traveling.
3h 30min + 1h 30min + 1h 15 min = 5h 15 min
If she arrived in Orlando at 1:45 P.M., count back 5 h 15 min.
1:45 - 15 min = 1:30 - 5h = 8:30 A.M.
Help pls :(
Solve for x.
-4 + 3x = 20
Answer:
x = 8
Step-by-step explanation:
Given
- 4 + 3x = 20 ( add 4 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-4 + 3x = 20}\\\rightarrow\large\textsf{3x - 4 = 20}\\\\\large\text{ADD 4 to BOTH SIDES}\\\large\textsf{3x - 4 + 4 = 20 + 4}\\\large\text{CANCEL out: \textsf{-4 + 4} because that gives you \textsf 0}\\\large\text{KEEP: \textsf{20 + 4}} \text{ because it gives you the \textsf{x-value}}}\\\\\large\textsf{20 + 4 = \bf 24}\\\\\large\text{DIVIDE 3 to BOTH SIDES}\\\\\mathsf{\dfrac{3x}{3}= \dfrac{24}{3}}\\\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you \textsf 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps gives you the result of the \textsf{x-value}}\\\\\mathsf{x = \dfrac{24}{3}}\\\\\large\textsf{x= 24}\div \large\textsf{3}}\\\large\textsf{x = \bf 8}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 8}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
5.3.8 Higher / Lower 2.0
Answer:
Higher...
Step-by-step explanation:
5.3.8 isn't really a legal number... if you meant 5.38 then it would be higher than 2. If you really meant 5.3.8 then I don't know.
Or is this code?
Say you have this: (sorry there's no indentation)
my_float = round(3.3312, 2)
while True:
guess = float(input("Guess my number: "))
if guess > round(my_float, 2):
print ("Too high!")
elif guess < round(my_float, 2):
print ("Too low!")
elif round(guess,2) == round(my_float, 2):
print("Correct!")
break
print("Great job guessing my number!")
You should be able to use the round function just like you do in the if statement. This can be done on a separate line between taking input and the if or it can be done on the same like.
guess = round(guess, 2)
Or:
guess = round(float(input(“Guess my number: “)), 2)
Hope this helped! Have a nice day!
please help me i will give brainliest!
Answer:
135
Step-by-step explanation:
Multiply 2 1/4 by 3/4 by 1 1/4 to get 2 7/64.
Then, multiply 1/4 by 1/4 by 1/4 to get 1/64.
Then divide 2 7/64 by 1/64 to get 135.
Hope this helps!
If there is something wrong, just let me know.
9. Find the remainder when the polynomial: p(x) = x⁴ + 2x³- 3x² + x - 1 is divided by (x - 2)
pls it's urgent
Answer:
answer is 21..............
Explanation:
p(x) = x⁴ + 2x³- 3x² + x - 1
Factor of p(x)
x-2=0
x=2
Then by using synthetic division
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C"?
Find the coordinates of the image of a triangle with vertices A(0, – 3), B(3, 0), and
C(-7, 4) under a rotation of 90° clockwise about the origin.
Answer:
A'(-3,0), B'(0,-3) and C'(4,7)
Step-by-step explanation:
We are given that the vertices of triangle are A(0,-3), B(3,0) and C(-7,4).
We have to find the coordinates of the image of triangle under a rotation of 90° clockwise about the origin.
90° clockwise about the origin
Rule:[tex](x,y)\rightarrow (y,-x)[/tex]
Using the rule
The coordinates of A'
[tex]A(0,-3)\rightarrow A'(-3,0)[/tex]
The coordinates of B'
[tex]B(3,0)\rightarrow B'(0,-3)[/tex]
The coordinates of C'
[tex]C(-7,4)\rightarrow C'(4,7)[/tex]
Hence, the vertices of image of triangle is given by
A'(-3,0), B'(0,-3) and C'(4,7)
PPPPPlease HHHHHelp, see the picture!
This value is 52 million.
===================================================
Explanation:
During the first year, the well produced 50,000 quarts of water per week. Since there are 52 weeks in a year, the well produced 52*50,000 = 2,600,000 quarts in total for that first year alone. This is the initial value 'a'.
The common ratio is r = 1 - 0.05 = 0.95
So we have a geometric sequence with starting term a = 2,600,000 and common ratio r = 0.95
Since -1 < r < 1 is true, we can use the infinite geometric series formula as shown below.
S = a/(1 - r)
S = (2,600,000)/(1-0.95)
S = 52,000,000
S = 5.2 * 10^7 which is choice D
Can u help solve this
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
Matching the Meaning of Key Features of a Graph
Match the key aspect of a function's graph with its meaning.
Answer:
a goes to 3
b goes to 4
c goes to 1
d goes to 2
Step-by-step explanation:
just did it right on edge
Please help!!! question b do as directed
Answer:
question b do as directed
Step-by-step explanation:
can you say again
Match the word to know with its definition
Expanded form
Product
Place value
Digit
A number that is written as a sum of single digit multiples of powers of 10
Any of the symbols ( 0 to 9 ) that are used to write a number
The result of multiplying two or more numbers together
The value of where a digit is located in a number
Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is
Answer:
z₁ × z₂ = 12·cis(2·π)
Step-by-step explanation:
z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)
We have;
z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))
z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))
According to De Moivre's Theorem,
z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))
∴ z₁ × z₂ = 12·cis(2·π)
For the function F defined by F(x)=x2−2x+4, find F(|−4|).
A. 8
B. 4
C. 12
D. 28
Answer:
12
Step-by-step explanation:
F(x)=x^2−2x+4
Let x = |-4| = 4
F(|-4|)=4^2−2(4)+4
= 16 -8+4
= 8+4
= 12
Which of the following equations of a line is NOT written in standard form?
A. 12x - 2y = 82
B. y = -2x - 1
C. x – 7y = 22
D. -x + 5y = 10
Answer: B
Step-by-step explanation:
Its written in slope intercept form not standard
TIME REMAINING
43:02
Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Mark this an
the answer of this question is (-2,2)
of (3, -2) reflected across the line x = 1 is?
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
The midpoint of a segment is ( 6, -6) and one endpoint is (13,-1). Find the coordinates of the other endpoint
Can someone please help me with this I don't understand take your time if you can explain it
What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?
Answer:
The 19th term is 99.
Step-by-step explanation:
We can write a direct formula and use it to find the 19th term. Recall that the direct formula for an arithmetic sequence is given by:
[tex]x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
Since the first term is 9 and the common difference is 5:
[tex]\displaystyle x _ n = 9+5(n-1)[/tex]
To find the 19th term, let n = 19. Thus:
[tex]x_{19} = 9+5(19-1)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} x_{19} &= 9+5(18) \\ &= 9+90 \\ &= 99\end{aligned}[/tex]
The 19th term is 99.
