Answer:
23cm
Step-by-step explanation:
If you multiply like terms you will get the answers. Then you add last to get 23cm
The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.
How much ribbon would be needed to go around the package in centimeters is to be determined.
Perimeter is the measure of the figure on its circumference.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Quantity of ribbon = perimeter of the rectangular package
= 2 * length + 2* width
= 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
= 2 (3x^2 + 2x -10) / (x^2 + x - 3)
Thus, the required length of ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ2
(3x-4y)^2-(3x-4y)(3x+4y)
Answer:
[tex]-24xy + 32y^2[/tex]
Step-by-step explanation:
Hello!
We can use the special binomial product formulas:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex][tex](a + b)(a - b) = a^2 - b^2[/tex]Simplify[tex](3x - 4y)^2 - (3x - 4y)(3x + 4y)[/tex][tex](9x^2-24xy+16y^2) - (9x^2 - 16y^2)[/tex][tex]9x^2 - 9x^2 - 24xy + 16y^2 + 16y^2[/tex][tex]-24xy + 32y^2[/tex]The simplified form is [tex]-24xy + 32y^2[/tex]
Michael drove from home to work at an average speed of 45 mph. His return trip home took 45 minutes longer because he could only drive at 35 mph. Find the distance from his home to his work.
The distance from his home to his work place is 118.125 miles
How to find the distance from his home to his work place?He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
learn more on distance here: https://brainly.com/question/21329221
#SPJ1
20 POINTS
Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.
Parallel to y=−3/2x+1, through (0, -4)
Answer:
the answer to this question is c=-4
Please help me thanks!
Problem 1
Any pair of equilateral triangles are always similar triangles. We can use the SSS (side side side) similarity theorem to prove this. One triangle is an enlarged copy of the other, or a shrunken reduced copy.
The rectangle is NOT similar to the square. They are different shapes. Similar figures are figures that are the same shape, but different sizes.
==========================================================
Problem 2
horizontal/vertical = horizontal/vertical
24/x = 6/5
24*5 = 6x
120 = 6x
x = 120/6
x = 20
Answer: The flagpole is 20 ft high (about 2 stories tall)
==========================================================
Problem 3
The formula to use is [tex]z = \sqrt{x*y}[/tex]
z = geometric mean of x and y
We multiply the numbers and take the square root. This only works for two values at a time. The geometric mean of three numbers will involve the cube root. Four numbers involves the 4th root, and so on.
Geometric mean of 6 and 10 is sqrt(60) = 7.74597 approximatelyGeometric mean of 2 and 32 is 8 exactlyGeometric mean of 2 and 8 is 4 exactlyGeometric mean of 7 and 9 is sqrt(63) = 7.93725 approximately==========================================================
Problem 4
For each figure, the y is the altitude and can be determined using the geometric mean formula.
Figure on the left: y = sqrt(2*6) = sqrt(12) = 3.4641Figure on the right: y = sqrt(6*14) = sqrt(84) = 9.1652The decimal values are approximate.
==========================================================
Problem 5
For 45-45-90 triangles, we divide the hypotenuse over sqrt(2) to find the leg length.
For the first triangle in the first row, we have y = 18/sqrt(2) = 9*sqrt(2) after rationalizing the denominator. Multiply top and bottom by sqrt(2).
Take this process in reverse to determine the hypotenuse if you know the leg length. This explains why the hypotenuse is 3.2*sqrt(2) for the second triangle in the first row.
-------------------
For 30-60-90 triangles, we go from the short leg x to the hypotenuse 2x.
Double the short leg to get the hypotenuse.
2x = 36
x = 36/2
x = 18
This is for the first triangle in the bottom row.
For the other triangle in this bottom row, we have a long leg of 4*sqrt(3). This must mean the short leg is exactly 4 units long. Therefore, the hypotenuse is 2*4 = 8 units long.
-------------------
Summary:Top row, first column: y = 9*sqrt(2)Top row, second column: y = 3.2*sqrt(2)Bottom row, first column: x = 18Bottom row, second column: y = 8The hypotenuse of a right triangle measures 17 cm and one of its legs measures 13 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Step-by-step explanation:
13^2 + x^2 = 17^2
169 + x^2 = 289
289 - 169 = 120
x^2 = 120
[tex] \sqrt{120} = 10.9544511501[/tex]
x = 11.0
Question 3 of 10
If P(x,y) is the point on the unit circle determined by real number ø, then tang
The tangent on the unit circle is y/x
How to determine the tangent value?The point on the unit circle is given as:
Point = (x,y)
By default
(cos(ø), sin(ø)) = (x,y)
This means that:
cos(ø) = x
sin(ø) = y
The tangent of an angle is:
tan(ø) = sin(ø)/cos(ø)
So, we have:
tan(ø) =y/x
Hence, the tangent on the unit circle is y/x
Read more about unit circle at:
https://brainly.com/question/16364735
#SPJ1
Can someone pls help?
Answer:
D
Step-by-step explanation:
If you think of the x-axis as your horizontal line, you can see that there is more than one value for x for y=0.
For instance, (-2,0), (0,0), (0,2).
Do the ordered pairs in the table represent a linear function?
Answer:
No.
Step-by-step explanation:
If you look at the y values, they do not have a constant rate of change. The numbers in the row for y: 3+1 is 4. 4+1 is 5. 5+7 is 12 .12+19 is 31. 31+ 37 is 68. So, as you can see, the rates at which each number changes are not constant. Therefore, the table does not represent a linear function.
Describe the error in solving the equation -2x^2+9x=4 using the Quadratic Formula.
Answer:
The roots are 0.5 and 4.
Step-by-step explanation:
-2x^2+9x=4
Rearrange:
-2x^2 + 9x - 4 = 0
x = [-b +/- √(b)^2 - 4ac)] / 2a
Using this quadratic formula the solution is:
x = [-9 +/- √(9)^2 - 4*(-2)*(-4)] / (2*-2)
= (-9 +/- √49) / -4
= 9/4 +/- (-7/4)
= 9/4 - 7/4 = 0.5
and 9/4 + 7/4 = 4
The function f(x) is shown in this graph.
--5-
The function g(x) = -6x + 3.
Compare the slopes and y-intercepts.
OA. Both the slopes and the y-intercepts are the same.
OB. The slopes are the same but the y-intercepts are different.
C. Both the slopes and the y-intercepts are different.
OD. The slopes are different but the y-intercepts are the same.
f(x)
(0,3)
Both the slopes and the y-intercepts are different. Option C is the correct answer.
What is Straight Line?A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
Here, slope intercept form of given equation:
y = mx + c ............(i)
where, m is slope of line and c is y-intercept.
Given equation of line;
g(x) = y = -6x + 3
On comparing this with equation (i), we get
m = -6 and c = 3
Thus, Both the slopes and the y-intercepts are different. Option C is the correct answer.
Learn more about Straight Line from:
https://brainly.com/question/27560536
#SPJ1
The circumference of a circle is 9 pi m. What is the area, in square meters? Express your answer in terms of pi
Answer:
The circumference of a circle = 2πr = 9π inches
Or, 2πr = 9π
Or, r = 9/2
Or, r = 4.5 inches
The area of a circle = πr²
Or, The area of a circle = π×4.5×4.5
Or, The area of a circle = 20.25π square inches
Step-by-step explanation:
help i need answers fast now
-2 (3d - 5d²) simplify
Answer: =-6d+10d^2
Step-by-step explanation:
The function f(x) is shown on the graph.
On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).
What is f(0)?
The value of f(0) in the function f(x) is -6
How to determine the value of f(0)?The coordinates are given as:
(-2, 0), (-1, 0), (1, 0), and (3, 0), and (0, -6)
To calculate f(0), we determine the function value when x =0
From the coordinate points, we have:
Point (0, -6)
This means that:
f(0) = -6
Hence, the value of f(0) is -6
Read more about functions at:
https://brainly.com/question/4025726
#SPJ1
Answer:
Step-by-step explanation:
-2,1 or 3 only
(2,-9) and (-3,6) in slope intercept form
Answer:
2 - 9 - 36
= - 43
Step-by-step explanation:
(hope it's Help)
Members of a soccer team raised $1511 to go to a tournament. They rented a bus for $933.50 and budgeted $38.50 per player for meals. Determine the number of players the team can bring to the tournament.
hurry pls
The number of players in the team would be 15 which can bring to the tournament.
A soccer squad collected $1511 to attend a competition. They spent $933.50 on a bus rental and $38.50 for each player on food.
What is a numerical expression?A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Let the number of players would be x
As per the given information, the required solution would be as:
Total budget = (per player meal)(x players) + bus rent
1511 = 38.50x + 933.50
Rearrange the terms and solve for x
1511 - 933.50 = 38.50x
577.50 = 38.50 x
Divide both sides by 38.50 into above equation,
x = 15
Therefore, the number of players in the team would be 15 which can bring to the tournament.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
#SPJ2
Mr. Mason paints his fence on Monday, Tuesday, Wednesday, and Thursday. It takes him a total of 6 2/4 hours to paint his fence. Write a digit in each box to show how many hours he could have painted each day.
A fraction is a way to describe a part of a whole. The number of hours that Mr Mason painted each day is 1.625 hours.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The total number of hours that Mr Mason took to paint the fence is 6 2/4 hours, while the number of days taken by him is 4 hours. Therefore, the number of hours for which Mr Mason painted each day can be written as,
= (6 ²/₄)/4
= (26/4)/4
= 26/16
= 1.625 hours a day
Hence, the number of hours that Mr Mason painted each day is 1.625 hours.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ1
Which Graph Shows A System With One Solution?
Answer:I think it’s A
Step-by-step explanation:
because it intersects. Sorry if it’s wrong
help pls :) have a great day everyone plshelp me
The first step to solving almost any problem is to understand what the question is asking and what is given to us in order for us to solve for the question. In this problem, we are given a graph and asked two questions. One being what the coordinates of the vertex are and whether this parabola has a maximum or a minimum.
Let's define what a vertex, maximum, and minimums are.
Vertex ⇒ Vertex is the point at which it either reaches the maximum or minimum. This point can be easily defined as where the slope becomes flat.Maximum ⇒ Maximum occurs when the vertex is at the top and the lines go down in a negative-y-direction. Therefore with the vertex being at the top that would be considered a maximum as it's the largest point in the graph.Minimum ⇒ Minimum occurs when the vertex is at the bottom and the lines go up in a positive-y-direction. Therefore with the vertex being at the bottom that would be considered a minimum as it's the smallest point in the graph.Now, looking at our problem we can see that our vertex is at the bottom therefore it would classify as a minimum. Now that we know we have a minimum vertex, let us determine what the actual coordinates of the vertex are.
We can see that we travel -3 in the x direction and -5 in the y direction which means that the coordinate for our vertex is (-3, -5) where the first number represents the x-value and the second number represents the y-value.
Answer:
(-3, -5)
Step-by-step explanation:
Here the vertex is also the minimum value; its x-coordinate is -3 and its y-coordinate is -5. Thus, the vertex is at (-3, -5). As stated above, this is the minimum value of the function.
In the figure below, which term best describes point X?
B
OA. Centroid
OB. Incenter
O C. Circumcenter
OD. Orthocenter
The term best describes point X is option A. Centroid.
What is the centroid of a triangle and its coordinates?The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).
If the surface is plane triangle approximately and mass is uniformly distributed, then its center of mass will lie on the centroid of that triangle.
If the triangle has its vertices as [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex]then the coordinates of the centroid of that triangle is given by:
[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]
The term best describes point X is option A. Centroid.
Learn more about centroid here:
https://brainly.com/question/7358842
#SPJ1
The measures of all of the interior angles of a triangle are in the extended ratio 1 : 2 : 3. The value of the smallest angle is:
Answer:
30 degrees
Explanation:
Let the ratio's be in x, 2x, 3x
Total Interior Angle of a triangle sum ups to 180°
x + 2x + 3x = 180°6x = 180°x = 180°/6 = 30°
The smallest angle which is x is 30°
What is the area of the triangle formed from 0,-1), (0.4), and
(4,-1)?
OA. 20 square units
B. 5 square units
O C. 40 square units
O D. 10 square units
Answer:
D. 10 square units
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
__
This triangle has a base of 4 units and a height of 5 units. (These dimensions can be counted from the graph, or found by subtracting coordinate values.) Its area is ...
A = 1/2(4 units)(5 units) = 10 square units
_____
Additional comment
The first two coordinates lie on the line x=0. The length of that segment is the difference of the y-values: 4 -(-1) = 5.
The first and last coordinates lie on the line y=-1. The length of that segment is the difference of the x-values: 4 -0 = 4.
Mike knows that (3,6.5) and (4,17.55) are points on the graph of an exponential function, g(x), and
he wants to find another point on the graph of this function.
First, he subtracts 6.5 from 17.55 to get 11.05.
Next, he adds 11.05 and 17.55 to get 28.6.
He states that (5,28.6) is a point on g(x).
Is he correct? Explain your reasoning.
Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
How to determine if he is correct?The points are given as:
(3,6.5) and (4,17.55)
Calculate the rate of change using:
r = y4/y3
This means that:
r = 17.55/6.5
r = 2.7
So, the next point on the graph is:
Next point = 2.7 * y4
Substitute 17.55 for y4
Next point = 2.7 * 17.55
Evaluate
Next point = 47.39
This means that the next point on the graph is (5,47.99)
Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
Read more about exponential graphs at:
https://brainly.com/question/27859284
#SPJ1
Which equation is in point slope form and is depicted by the line in the graph?
A.(y-3) = 3/5 (x-2)
B. (y-3) = -(3)/(5) (x+2)
C. (y-3)= 5/3 (x-2)
D. (y+3) = 5/3 (x+2)
The equation of line passing through (-2,3) and (3,0) will be (y - 3) = - 5/3 (x + 2). Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The graph is given below.
The equation of line passing through (-2,3) and (3,0) will be
The equation of line will be
(y - 3) = [(3 + 2) / (0 - 3)] (x + 2)
(y - 3) = - 5/3 (x + 2)
Then the correct option is B.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
3x + 12+ 9x - 72
Solve?
Answer:
12x - 60
Step-by-step explanation:
[tex]3x+12+9x-72\\=3x+9x+12-72\\=12x+12-72\\=12x-60[/tex]
Evaluate 4x² + 3x for x=6
Answer:
162
Step-by-step explanation:
Given algebraic expression:
4x² + 3xTo:
Evaluate this expression,with : x = 6Solution:
4x²+3xSimplify by plugging x = 6
4(6)²+3(6)4(36) + 18144 + 18162We can conclude:
By evaluating this expression by x = 6 , the answer will be 162.
what is the square root of x divided by the square root of 2 equal
Answer:
[tex]\sqrt{\frac{x}{2} }[/tex]
Key:
• [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{x}}{\sqrt{2}}\\[/tex]
[tex]\frac{\sqrt{x}}{\sqrt{2}}=\sqrt{\frac{x}{2}}\\[/tex]
[tex]=\sqrt{\frac{x}{2}}[/tex]
A submarine travels 19 degrees west of north. What is its compass heading? PLS HELP WILL GIVE BRAINLIEST
Answer:
NNW(North-northwest)
The required compass heading of the submarine is 341 degrees.
To find the compass heading of the submarine, we need to determine the angle it makes in the north direction, clockwise.
Since the submarine is traveling 19 degrees west of north, the compass heading can be calculated as follows:
Compass Heading = 360 degrees - (Angle west of North)
Compass Heading = 360 degrees - 19 degrees
Compass Heading = 341 degrees
So, the compass heading of the submarine is 341 degrees.
Learn more about compass here:
https://brainly.com/question/29095249
#SPJ4
1 stick butter is equivalent to _____ ounces.
Answer:
4 ounces
Step-by-step explanation:
Answer:
1 stick butter is equivalent to __4___ ounces.
Step-by-step explanation:
1 stick of butter is equal to 4 ounces
If f(x)=3x-2 and g(x)=2x+1,find (f+g)(x)
Answer:
f(x) + g(x) = 3x - 2 + 2x + 1
(f + g)(x) = 5x - 1