Answer:
0
Step-by-step explanation:
(4x-7)+(7-4x)
cancels each other
which makes it zero
Given pair of expression :
[tex] \longrightarrow \sf {(4x -7) \: and \: (7-4x) } [/tex]
Solution :
Firstly put the sign of addition (+) at the place of and.
[tex] \longrightarrow \sf {(4x -7) + (7-4x) } [/tex]
Now, remove the brackets.
[tex] \longrightarrow \sf {4x -7 + 7-4x } [/tex]
Group like terms. Here, 4x and -4x ; -7 and +7 are like terms.
[tex] \longrightarrow \sf {\cancel{4x -4x} \cancel{ -7 + 7}} [/tex]
[tex] \implies \sf \red {0 } [/tex]
So, the answer is 0.
pls help with these the perosn with the correct answer will get a brainliest
Answer:
17 and 20
Step-by-step explanation:
omg I can't explain it took much time to solve I've got no time
im so sorry
A man's salary is increased by $925 to $1036. Find the percentage increase. What would have been his new salary if the increase had been 16%
Answer:
See the solutions below
Step-by-step explanation:
Initial Salary= $925
Final salary= $1036
% increase= Change/initial *100
substitute
% increase= 1036-925/925 *100
% increase=111/925 *100
% increase=0.12 *100
% increase=12%
2. Let us find 16% of $925
=16/100*925
=0.16*925
=$148
Hence the salary would have been
=148+925
=$1073
Round
$34.7691 to the nearest cent.
Answer:
$34.77
Step-by-step explanation:
Uma professora de artes pediu aos alunos para montarem mosaicos unindo peças. Nesse mosaico, essas peças deveriam ficar sempre ligadas pelos vértices, não poderiam se sobrepor e não deveria sobrar espaço entre elas. Além disso, para fazer esse mosaico, essa professora solicitou que todos os alunos utilizassem octógonos regulares, como o que está apresentado abaixo.
M100839H6_1
Para compor esse mosaico, junto com esses octógonos, os alunos tinham à sua disposição as peças do quadro abaixo.
M100839H6_2
Quais dessas peças os alunos poderiam escolher para compor esse mosaico?
I e III.
I, III e IV.
I e IV.
II, III e IV.
III e IV.
Answer:
coloquei a letra d- II, III e IV
Step-by-step explanation:
Answer:
é a letra D (II, III e IV)
Step-by-step explanation:
se você reparar no ângulo interno da figura do octógono está mostrando 135º e a primeira figura que no caso não encaixa mostra 60º, fazendo essa soma daria um total de 195º, o que passa de 180º que é a metade de uma circunferência, então não daria certo, ficaria uma parte sobrando, não se encaixando no mosaico.
I'm stuck on this problem! A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.
Answer:
In order two straight lines in a coordinate plane intersect, they MUST have different slopes.
This condition is NECESSARY and SUFFICIENT.
Step-by-step explanation:
The key feature of the functions that are needed to determine if the lines intersect are;
The slope; rate of changeThe y-interceptSlope and y-interceptFrom straight line geometry, we can conclude that two parallel lines whose slope are equal can never intersect.
On this note, for the functions described in the question, the functions only intersect when the slopes are different.
Additionally, the functions may intersect in the event of having equal y-intercepts.
Read more on slope and y-intercept;
https://brainly.com/question/25722412
Identify the horizontal and vertical intercepts of the limacon represented by the equation r=4-6 sin theta.
Answer:
Vertical intercepts: (-2,pi/2) and (-10,pi/2)
Horizontal intercepts: (4,0) and (-4,0)
Step-by-step explanation:
I took the test and got it right.
The required horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
To find the horizontal intercept(s) of the limacon, we need to set r equal to zero and solve for theta.
r = 4 - 6sin(Ф)
0 = 4 - 6sin(Ф)
6sin(Ф) = 4
sin(Ф) = 4/6
sin(Ф) = 2/3
We can use an inverse sine function to find the value of theta:
Ф= sin^-1(2/3)
Ф≈ 41.81° or 138.19°
These are the values of theta where the limacon crosses the x-axis (horizontal intercepts).
To find the vertical intercept(s), we need to set theta equal to zero or pi and solve for r.
When Ф= 0:
r = 4 - 6sin(0)
r = 4
So the limacon intercepts the y-axis at (0, 4).
When Ф= pi:
r = 4 - 6sin(pi)
r = 10
So the limacon intercepts the y-axis at (0, -10).
Therefore, the horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).
Learn more about intercept here:
https://brainly.com/question/3605446
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4x+5y=60. what is the x and y intercepts? show work pls!!
Answer: (4,5)
Because I don't know another way I can solve
Step-by-step explanation:
Answer:
x-intercept: (15, 0)
y-intercept: (0, 12)
Step-by-step explanation:
1.) convert the equation to y=mx+b format
4x + 5y= 60
5y = -4x + 60
y = -4/5x + 12
2.) Now we know that "b" in the equation is the y-intercept. 12 is b so the y-intercept is 12.
3.) To find x intercept we will plug in y=0.
0 = -4/5x + 12
-12 = -4/5x
15 = x
Please I need help with this math problem I would appreciate it a lot!
Answer:
4x^2 -3 + 1/x
Where ;
p(x) =( 4x^2 -3) and k = 1
Step-by-step explanation:
Here, we want to divide the given polynomial
To get this, we can use the method of long division
P(x) will be the quotient of the division, while k will be the remainder of the division
We can see the long division used in as seen in the attachment
So, we have the result as;
4x^2 -3 + 1/x
Where ;
p(x) = 4x^2 -3 and k = 1
In ΔNMP, m∠MNP =45°, MN =7.5 feet, and MP=5 feet. How many triangles can be drawn when given this information?
Answer:
None
Step-by-step explanation:
The MP = 5 is too short to touch the diagonal side
One triangle can drawn with the given information.
What is a triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Given that, in ΔNMP, m∠MNP =45°, MN =7.5 feet, and MP=5 feet.
A triangle has six elements – 3 sides and 3 angles. To construct a unique triangle, 3 elements out of six elements are required under a certain combination.
So, with the given elements we can draw a triangle.
Therefore, one triangle can drawn with the given information.
Learn more about the triangle here:
https://brainly.com/question/2773823.
#SPJ5
A parabola can be drawn given a focus of (3, 1) and a directrix of x = -5. What can
be said about the parabola?
The parabola has a vertex at
O,
Answer:
The statements that can be made about the parabola are;
The parabola opens towards the right
The equation of the parabola is (y - 1)² = 16 × (x + 1)
The parabola has a vertex at (-1, 1)
Step-by-step explanation:
The given focus of the parabola is (3, 1)
The directrix of the parabola, x = -5
Therefore, from the location of the directrix (on the x-axis) and the location of the focus relative to the directrix towards the positive direction of the x-axis relative to the directrix, the parabola opens towards the left of the coordinate chart
The general equation of the focus = (h + p, k)
The general equation of the directrix, x = h - p
Comparing with the values of the focus and the directrix of the given parabola, we have;
(3, 1) = (h + p, k)
-5 = h - p
Therefore, we get;
k = 1
h + p = 3...(1)
h - p = -5...(2)
Adding equation (1) to equation (2) gives;
h + h + p - p = 3 + (-5)
2·h = -2
h = -2/2 = -1
h = -1
From equation (1), we get;
h + p = -1 + p = 3
∴ p = 3 + 1 = 4
p = 4
The vertex of the parabola, (h, k) = (-1, 1)
The equation of the parabola in the form (y - k)² = 4·p·(x - h) is therefore, presented as follows;
The equation of the parabola = (y - 1)² = 4 × 4 × (x - (-1))
(y - 1)² = 16 × (x - (-1))
The equation of the parabola is (y - 1)² = 16 × (x + 1).
What is the image point of (4, -9) after the transformation R90°
ry-axis ?
Answer:
bit.^{}
ly/3a8Nt8n
Step-by-step explanation:
here is the link to the answer
You deposit $100 in an
account that pays an
annual rate of 4%. How
much is in the account
after 12 years?
Answer:
5669.39
Step-by-step explanation:
Are 4 7/9 and repeating 4.7 are they equal?
Answer:
Step-by-step explanation:
These two expressions are definitely not equal.
4 7/9 is a repeating decimal: 4.77777 ... (use your calculator)
whereqs 4.7 is NOT a repeating decimal.
if two congruent angles form supplementary, they are acute angles true or false
Answer:
false
Step-by-step explanation:
No, two acute angles cannot form a supplementary angle. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. ... Example: 80° +60° = 140° which is not a supplementary angle. But, in the case, if we add more than two acute angles, we can get supplementary angles.
Omar is driving to Denver. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Omar has 55 miles to his destination after 44 minutes of driving, and he has 41.5 miles to his destination after 62 minutes of driving. How many miles will he have to his destination after 74 minutes of driving?
Answer:
After 74 minutes of driving, he still has 32.5 miles to his destination.
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:
a = (y₂ - y₁)/(x₂ - x₁)
Now let's go to the question.
We know that the distance to his destination is a linear function of his total driving time.
We know that he has 55 miles to his destination after 44 minutes of driving. We can write this as the point (44 min, 55mi)
We know that he has 41.5 miles to his destination after 62 minutes of driving, we can write this as (62 min, 41.5mi)
Then the slope of this equation will be:
a = (41.5mi - 55mi)/(62min - 44min) = -0.75 mi/min.
Then the linear equation is something like:
y = (-0.75 mi/min)*x + b
to find the value of b we can use the fact that this line passes through the point (44 min, 55mi)
This means that when x = 44 min, we must have y = 55mi
Then:
55mi = (-0.75 mi/min)*44min + b
55mi + (0.75 mi/min)*44min = b
88mi = b
Then the equation is:
y = (-0.75 mi/min)*x + 88mi
Now we want to know how many miles will he have to his destination after 74 minutes of driving, then we need to replace x by 74 min.
y = (-0.75 mi/min)*74min + 88mi
y = 32.5mi
After 74 minutes of driving, he still has 32.5 miles to his destination.
El conjunto de 10 centenas de mil es igual a _________ unidades El conjunto de 10 decenas de mil es igual a __________ unidades
Answer:
10 centenas de mil = 1000.000 unidades.
Step-by-step explanation:
Recordemos que 10 centenas es igual a 1000 unidades
Ahora, 10 centenas de mil seria un millon de unidades
Osea, 1000.000 unidades.
Espero te haya servido.
welp me. i need welp pleasee
The maximum height reached by the barnacle is _______ m.
Answer:
1 answer is 1
2 answer is -1
3rd answer is 2pi
From the diagram, we can tell that the maximum height that is reached by the barnacle is 1m.
Why is this the maximum height?The Barnacle is going around the water level in the shape of a circle which the water level being the diameter.
This means that the maximum height the barnacle can reach is constricted by the radius such that it is the same as the radius of the circle. This means that the maximum height is 1m.
Find out more on the height of the barnacle at https://brainly.com/question/10417429.
(NEED HELP ASAP) which equation matches this graph?
Answer:
[tex]the \: second \: equation[/tex]
A florist measures the lengths of roses the lengths in inches of a dozen roses are given below
Answer:13.5
Step-by-step explanation:
find the equation of the exponential function represented by the table below
x y
0 3
1 9
2 27
3 81
Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
a:4
b:5
c:7
d:6
Answer: 5
Step-by-step explanation:
.
HELP ASAP!!!! Giving brainliest to whoever answers first!! No links please. :))
Answer:
45 points
Step-by-step explanation:
Average= sun of all numbers/ no. of numbers
33= (23+35+27+48+18+35+x)/7
33= 186+x/7
33×7= 186+ x
231= 186+x
x= 231- 186
x= 45
Answer:
45 points, he scored 45 points in game 7
Step-by-step explanation:
Right now, the average, or mean, is (23 + 35 + 27 + 48 + 18 + 35)/6 = 31
The number plus 23 + 35 + 27 + 48 + 18 + 35 and then divided by 7 should equal 35, that number is 45
(23 + 35 + 27 + 48 + 18 + 35 + 45)/7 = 33 = 231/7 = 33 = 33 = 33
To find the mean, you add all the numbers and then divide it by the amount of numbers there.
Justin is 12 years older than Agnes in six years timing Johnson will be twice as old as Agnes how old are they now
9514 1404 393
Answer:
Agnes: 6Johnson: 18Step-by-step explanation:
6 years from now, Johnson will be 12 years older than Agnes and twice her age. That means Agnes will be 12 and Johnson will be 24.
Agnes is 6 now, and Johnson is 18 now.
HELP!! URGENT!! 75 POINTS + BRAINLIEST!!
Find the sum or type
"impossible”
[1 -2 1] + [4 -5 -6] ]
[[?]
[ ]]
Answer:
27
Step-by-step explanation:
looked on photomath
A toy rocket is launched from a platform that is 48 feet high. The rocket’s height above the ground is modeled by h = -16t 2+ 32t + 48. a. Find the maximum height of the rocket.
Answer:
The maximum height of the rocket is 64 ft.
Step-by-step explanation:
The -t^2 term tells us that the graph of this function is a parabola that opens down. The x-coordinate of the axis of symmetry is
-b
x = -----------
2a
which here is:
-32
x = ------------ = 1
2(-16)
The value of this function at t = 1 is
h(1) = -16(1)^2 + 32(1) + 48, or 64 ft
The maximum height of the rocket is 64 ft.
Find the value of x.
X =
Tell whether the side lengths form a Pythagorean triple.
o yes
no
Answer:
x = √72 and yes, it forms a Pythagorean triple
Step-by-step explanation:
a^2 + b^2 = c^2,
3 is a, x is b, anf 9 is c
3^2 + x^2 = 9^2
9 + x^2 = 81
Subtract 9 from both sides
x^2 = 72
x = √72
a Pythagorean triple is a^2 + b^2 = c^2, and this has it
Answer:
X = 9.4
Step-by-step explanation:
Pythagorean Theorem:
Formula: a² + b² = c²
9 x 9 = 81 3 x 3 = 9 81 + 9 = 90 √90 = 9.48 (Rounded 9.5)- A Pythagorean triple consists of any three positive integers.
figure this out plz i will give brainliest also this is a question so you will have to figure out what it means
.-- .... .- - / .. ... / ...-- ----- ----- / - .. -- . ... / ---.. ----- ----- --..-- ...-- ....- ----- ..--..
What is the other shape in the composite figure besides the rectangular prism?
triangular pyramid
square pyramid
triangular prism
cube
Answer:
cube
Step-by-step explanation:
The shape in the middle of the two rectangular prism would be a cube. This is the case since the angle at the base of the rectanglular prism forms a 90-degree angle. This indicates that the line is a straight line and would also form a 90-degree angle with the bottom angles as well. This would ultimately indicate that it forms a square, and since the shape is a 3-Dimensional shape it would be classified as a cube in this image.
Answer:
Triangular Prism
Step-by-step explanation:
The middle shape is a rectangular prism.
The top and bottom is a Triangular Prism.