ILL GIVE BRAINLIEST PLZZ I NEED THIS
Answer:
Q1
[tex]by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37[/tex]
Q2
[tex]by \ pythagoras \ thm, \\(7x -12) ^2 = (5x +10)^2 +(2x)^2\\\\49x^ 2 +144 - 168x = 25x^2 +100+ 100x +2x^2\\\\49x^ 2 +144 - 168x - 25x^2 -100- 100x -2x^2 = 0\\\\22x^2 -268x -44 = 0\\11x^2 - 134x - 22 = 0\\x=12.0154[/tex]
Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7
Given
f(x) = 2x - 1 and g(x) = 4x + 6,
which operation completes the statement?
f(x) ___ g(x) = 8x^2 + 8x - 6
i need to determine what math sign i have to use on the ____ the options are *,+,-, and the divide symbol
this is operations on functions!!!
f(x) times g(x) = 8x^2+8x-6
(2x-1) times (4x+6) = 8x^2+8x-6
====================================================
Explanation:
The functions f(x) and g(x) are linear functions. The result of f(x) ___ g(x) is some quadratic function.
It's very likely that the answer is a multiplication sign because of the general template of
(linear)*(linear) = (quadratic)
For example, x*3x = 3x^2.
Let's see if the two functions multiply out to 8x^2+8x-6 or not.
-----------------------
f(x) * g(x) = ( f(x) ) * ( g(x) )
f(x) * g(x) = ( 2x-1 ) * ( 4x+6 )
f(x) * g(x) = y * ( 4x+6 ) ......... let y = 2x-1
f(x) * g(x) = 4xy + 6y ......... distribute
f(x) * g(x) = 4x( y ) + 6( y )
f(x) * g(x) = 4x( 2x-1 ) + 6( 2x-1 ) .... replace y with 2x-1
f(x) * g(x) = 8x^2-4x + 12x-6 .... distribute twice more
f(x) * g(x) = 8x^2+8x-6
We end up getting the correct result. So this confirms that a multiplication sign is needed to fill in the blank.
ANSWER THIS ASAP NO FILE AT ATT!!
The answer would be A
Answer:
It would be A
Step-by-step explanation:
Once again the shape does not rotate or flip it stays the same but moves on the coordinate plane.
find the value of x. round to the nearest degree
Not drawn to scale
Answer:
[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]
x= 57°
What is MR?
MR =
help me plz
Answer:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
MR = MN+NP+PQ+QR
MN=4 and MN≡QR so QR=4
PQ=6 and PQ≡NP so NP=6
MR = 4+6+6+4 = 20
The talk-time battery life of a group of cell phone is normally distributed with a mean
of 5 hours and a standard deviation of 15 minutes.
b) What percent of the phones have a battery life between 4.5 hours and 5.25
hours? (include 1 decimal place WITHOUT the % sign)
Answer:
Step-by-step explanation:
What is it help
Approximately 47.72% of phones have a battery life of between 4.5 and 5.25 hours.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
here, we have,
To determine the percentage of phones with a battery life between 4.5 hours and 5.25 hours, we need to find the area under the normal curve between those two points.
To do this, we can standardize the lower and upper limits of the range and use a table of the normal distribution to find the area.
The lower limit of the range, 4.5 hours, is 0.25 hours less than the mean of 5 hours. Since the standard deviation is 15 minutes, which is equal to 0.25 hours, the lower limit is 0.25 standard deviations below the mean.
The upper limit of the range, 5.25 hours, is 0.25 hours more than the mean of 5 hours. Since the standard deviation is 15 minutes, which is equal to 0.25 hours, the upper limit is 0.25 standard deviations above the mean.
The area under the normal curve between the lower and upper limits is therefore the area under the normal curve between -0.25 and 0.25 standard deviations.
Using a table of the normal distribution, we find that the area under the normal curve between -0.25 and 0.25 is approximately 0.4772.
Thus, about 47.72% of phones have a battery life between 4.5 hours and 5.25 hours.
Learn more about the standard deviation here:
brainly.com/question/14747159
#SPJ3
The answer to the above question
Answer:
Step-by-step explanation:
Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have
[tex]2^2=\sqrt{2}^2+b^2[/tex] and
[tex]4=2+b^2[/tex] so
[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]
Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so
[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then
[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]
Enter the values for the highlighted variables to
complete the steps to find the sum:
az
b =
3x 9
+
2x - 6 6 - 2x
CE
d =
3 x
9
+
2x-6 al 2x-6)
3x b.
+
2x-6 2x - 6
3х – с
2x-6
d{x - e)
f(x-3)
= 9
e =
f=
III
g=
DONE
Answer:
a = - 1
b = - 9
c = 9
d = 3
e = 3
f = 2
g = 3/2
Step-by-step explanation:
For a;
6 - 2x = - (2x - 6)
For b;
-1 * 9 = - 9
For x ;
3x + (-9) = 3x - 9
3x - 9 = d(x - e)
Factorizing :
3(x - 3)
d = 3 ; e = 3
2x - 6 = f(x - 3)
Factorize :
2x - 6 = 2(x - 3)
3(x - 3) / 2(x - 3)
g = 3/2
Maddie has $50. she worked for five days and she now has $270. what integer represents the average increase in value PER DAY
Tala drives 8 miles to work each day. how many miles does she drive to work in 83 days?
Answer:
664 miles by only going to work not coming back.
Step-by-step explanation:
The base of a rectangular prism has an area of 6 cm². The height of the
rectangular prism is 5 cm. What is the volume of the prism?
Answer:
30 cm ^3
Step-by-step explanation:
Volume = Length x Width x Height
L and W =6cm^2
H=5cm
Hope this helps!
what is the area of parallelogram BCDE
Step-by-step explanation:
[tex] \: \:\huge\mathfrak\purple{Answer...} \\ \\ here \: is \: your \: solution \\ \\ area \: of \: parallelogram = base \times height \: \\ \\ base = 10cm \: \\ \\ height = 6cm \: \\ \\ aera \: of \: pralelogram = 10 \times 6 \: \\ \\ area \: = 60 \: cm.sq \\ \\ \huge\mathfrak\red{hope \: it \: helps...}[/tex]
Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.
Answer:
their graphed
Step-by-step explanation:
10
1 point
Solve the system of linear equations. Check your solution.
2x+y = 3
X-y= 3
Solution type your answer...
type your answer...
Answer:
x = 2, y = -1.
Step-by-step explanation:
2x + y = 3
x - y = 3
Adding the 2 equations eliminates y:
3x = 6
x = 2.
Substitute for x in the first equation:
2(2) + y = 3
y = 3 - 4
y = -1.
Check the results by substitution in equation 2:
2 - (-1)
= 2 + 1 = 3 .
Checks OK.
The location of a public library is 12 miles east of a residential apartment. The location of a school is 5 miles south of the residential apartment. What is the SHORTEST distance between the public library and the school?
Answer:
13 miles
Step-by-step explanation:
12 miles
Home --------------------------------------------------------Library
|
5 miles |
|
|
|
School
We can draw an imaginary line betwen school and library. by using the pythagoras theorem, because it is a right triangle. the distance between school and library is 13.
Tina has 8 pounds of flour to bake cookies. She uses 1/2 of a cup of flour to make each batch. How many batches of cookies can she make?
Group of answer choices
16
8
1/16
9
Help pls I’ll give extra points
Answer:
Step-by-step explanation:
Which of the following graphs is the graph of a linear function?
Answer:
A is the answer
Step-by-step explanation:
The TSA decides to hold back for inspection 4% of all pieces of carry-on luggage. Assuming selections are independent, for the next 150 pieces of luggage, a) find the exact probability that 7, 8, or 9 will be selected. Interestingly enough, this is a case where two of our approximation methods may be appropriate. b) Using Poisson approximation, recalculate the probability from a), and compare. c) Using normal approximation, recalculate the probability from a), and compare
Answer:
a) 0.3140
b) 0.3098
c) 0.3447
Step-by-step explanation:
Given data :
p = 4% = 0.04
Assuming selections are independent for next 150 pieces
n = 150
a) Probability that 7,8,9 will be selected
P( 7,8,9 ) = 0.3140
b) probability that 7,8,9 will be selected using Poison approximation
P( 7,8,9 ) = 0.3098
c) using normal approximation to determine the probability from ( a )
P ( 7,8,9 ) = 0.3447
Attached below is the detailed solution
The angles in this diagram are complementary. What is the value of x?
(4x)
(2x + 6)
Answer:
2(4)+6(4)
Step-by-step explanation:
Distribute
(4)(2+6)
(4x)(2x+6)2(4)+6(4)
2x(4x)+6(4x)
Solution
2(4)+6(4)
Please give brainliest :)
Options are:
80
45
90
100
=>x+45+45=180°
=>x+90=180°
=>x=180°-90°
=>x=90°
Solve for x in this equation: 3/4+ |5-x| = 13/4
Answer:
x = 2.5 or 7.5
Step-by-step explanation:
Subtract 3/4.
|5 -x| = 10/4 = 2.5
This resolves to two equations:
5 -x = 2.5 ⇒ x = 5 -2.5 = 2.55 -x = -2.5 ⇒ x = 5 +2.5 = 7.5The solutions are x = 2.5 or 7.5.
solve for x 9.2, 16.5, x
Answer:
152
Step-by-step explanation:
HELP AND I WILL GIVE BRAINLIEST!
What is the value of c such that x^2 - 6x + c is a perfect-square trinomial?
a. 36
b. 9
c. -3
d. 18
Answer:
[tex]x^2 -6x +c \ is \ the \ perfect \ square\\=> x^2 -6x + c = (x -k)^2\\=>x^2 -6x+c = x^2 -2kx + k^2\\Equating \ the \ like \ terms,\\-6x = -2kx\\k = 3\\substituting \ k \ in \ (x-k) = (x-3)\\x^2 -6x +c = (x-3)^2\\\\X^2 - 6x + c = x^2 -6x +9 \\\\=> c = 9[/tex]
opion. b
Answer:
b
Step-by-step explanation:
Please help me with this problem
ln -3x + ln 4 = ln 58
9514 1404 393
Answer:
x = -29/6 = -4 5/6
Step-by-step explanation:
The equation simplifies to ...
ln(-3x·4) = ln(58)
Taking antilogs, the equation becomes ...
(-3x)(4) = 58
Dividing by -12 shows us the value of x.
x = -58/12
x = -29/6 = -4 5/6
__
The applicable rule of logarithms is ...
ln(ab) = ln(a) +ln(b)
Answer:
7x - 4x = 21
3x = 21
x = 21÷3
x = 7
r = 3.7 m.
Calculate the circumference of the circle.
Answer: 23.25m
Step-by-step explanation:
C=2πr=2·π·3.7≈23.24779m
Graph the image of N(3, -1) after a rotation 180° clockwise around the oriGin
Answer:
(-3, 1)
Step-by-step explanation:
180° rotation clockwise: (x,y) becomes (-x,-y)
How do you find whether if it’s a monomial?
Answer:
When it is of the form axm a x m, where a a is a constant and m m is a whole number, it is called a monomial. Some examples of monomial are 8,−2x2,4y3, and11z7 8, − 2 x 2, 4 y 3, and 11 z 7. A monomial is a term of the form axm a x m, where a a is a constant and m m is a positive whole number.
Step-by-step explanation:
Which function is represented by the graph ?!