Answers
2 x length + 2 x width = perimeter.
2(2s-5) + 2(4s-13) = 108
Simplify:
4s-10 + 8s-26 = 108
Combine like terms:
12s - 36 = 108
Add 36 to both sides:
12s = 144
Divide both sides by 12:
s = 144/12
s = 12
Now replace s with 12 in each equation:
2(12) - 5 = 24-5 = 19
4(12) - 13 = 48-13 = 35
The answer is d. 35,35, 19,19
Related Questions
Please help, lots of points! Please answer the question in the picture.
Answers
Answer:
Im positive the answer is A: x^3-3x+2
Answer:
a x^3-3x+2
Step-by-step explanation:
f(x) = -3x+2
g(x)= x^3
(f+g)(x)= -3x+2+x^3
= x^3-3x+2
HELP ASAP! I need help! I’m stuck and don’t know what to do!
Answers
Answer:
last choice
Step-by-step explanation:
Let's look at (8,-2)
We are moving this point 7 units right and 2 units down so that becomes
(15,-4)
But you are also reflecting it across y-axis so the x becomes opposite and y stays the same so you have the final image point after the transformations is (-15,-4).
So it can only be choice D, the last choice.
Which is the graph of f(x) = (4)x?
Answers
Answer:
f(x)=4x
Step-by-step explanation:
In order to make the graph of f(x)= 4x we will find out few coordinates first and then plot them on the graph. In order to find the coordinates we will find the values of f(x) for random values of x .
Let us see:
x=1 ; f(x) = 4(1) = 4
x=2 ; f(x) = 4(2)=8
x=0 ; f(x) = 4(0)=0
x=-1 ; f(x)= 4(-1) = -4
x=-2 ; f(x)=4(-2)= -8
Hence our coordinates are
(-2,-8) ; (-1,-4) ; (0,0) ; (1,4) ; (2,8)
Now we plot those coordinates on x - y plane and join them to make our line. Please see the graph in the attachment.
4. (08.07 MC) Which graph shows the quadratic function y = 3x2 + 12x + 14? (5 points) The following graph is labeled A: A four quadrant graph with a parabola opening up, passing through the points negative 3, 1, negative 2, negative 2, and negative 1, 1 with the vertex at 2, negative 2. The following graph is labeled B: A four quadrant graph with a parabola opening up, passing through the points 1, 4, 2, 1, and 3, 4 with the vertex at 2, 1. The following graph is labeled C: A four quadrant graph with a parabola opening up, passing through the points negative 3, 5, negative 2, 2, and negative 1, 5 with the vertex at negative 2, 2. The following graph is labeled D: A four quadrant graph with a parabola opening up, passing through the points 1, 1, 2, negative 2, and 3, 1 with the vertex at 2, negative 2. A B C D
Answers
Answer:
C
Step-by-step explanation:
You have a vertex of (-2,2) since -b/(2a)=-12/(2*3)=-12/6=-2
and then plug it in for the y-coordinate 3(-2)^2+12(-2)+14=2
So you have a vertex of (-2,2).
The parabola is open up since 3 is positive.
So far it looks like the choice is C because it is the only one that says the vertex is (-2,2) and it does have that it is open up.
Let' s look at (-3,5) and (-1,5).
So if we plug in -3 into 3x^2+12x+14 we get 3(-3)^2+12(-3)+14=5 check mark
what about x=-1? 3(-1)^2+12(-1)+14=5
Bingo! C checks out!
There are 7 people on a cycling team. Their coach mush pick two of them to be Co - Captain. How many different pairs can the couch choose?
Answers
How do you do this question?
Answers
Answer:
(B) only I and II
Step-by-step explanation:
An odd relation is symmetrical about the origin. All of the relations are odd.
An even relation is symmetrical about the y-axis. Only the first two relations are even.
_____
The graph shows the first relation is that of a circle. It is symmetrical about its center at the origin and about any diameter, including the y-axis.
The second relation is a degenerate hyperbola. It graphs as the pair of lines y=x and y=-x. It is symmetrical about both the origin and the y-axis. (It also has other lines of symmetry.)
The third relation is a line with slope -1 (represented by dots). It is symmetrical about the origin, but not the y-axis. It is only an odd relation.
Given the function f(x) = 3x + 1, evaluate f(a + 1).
A. 3a + 1
B. a + 2
C. 3a + 4
Answers
Answer:
Given the function f(x) = 3x + 1, evaluation of f(a + 1) gives:
C. 3a + 4
Step-by-step explanation:
Given function:
f(x) = 3x + 1
We have to find f(a+1).
For this purpose, we will take x = a+1 and
substitute it in the function f(x) = 3x+1:
f(x) = 3x + 1
f(a+1) = 3(a+1) +1
f(a+1) = 3(a) + 3(1) +1
f(a+1) = 3a+3+1
f(a+1) = 3a + 4
So the function f(a+1) is equal to option C. 3a + 4.
the answer is
3a + 4
Please help me with this problem
Answers
For a system of linear equations to have a solution, it means that they would cross over at some point, thus if we are looking for a system of linear equations that do not have a solution (ie. they do not cross over), we are looking for two parallel lines.
Now for two lines to be parallel, they must have the same gradient. Thus, we must find the value of a for which both the equations have the same gradient. In order to do this, we should first write both equations in the form y = mx + c, where m is the gradient and c the y-intercept.
1) Equation 1:
(1/2)x - (2/3)y = 7
(3/4)x - y = 21/2 (Multiply both sides by 3/2)
(3/4)x = 21/2 + y (Add y to both sides)
(3/4)x - 21/2 = y (Subtract 21/2 from both sides)
Thus, the first equation may be written as y = (3/4)x - 21/2
2) Equation 2:
ax - 8y = -1
(a/8)x - y = -1/8 (Divide both sides by 8)
(a/8)x = -1/8 + y (Add y to both sides)
(a/8)x + 1/8 = y (Add 1/8 to both sides)
Thus, the second equation may be written as y = (a/8)x + 1/8
Now that we know the equations of the two lines, we can compare their gradients.
Equation 1: m = 3/4
Equation 2: m = a/8
Remember, for the two lines to be parallel, their gradients must be the same. Thus, we must equate the two gradients above to find the value of a:
3/4 = a/8
24/4 = a (Multiply both sides by 8)
6 = a
Therefor, if the system of linear equations has no solution, and a is a constant, the value of a is 6 (answer D).
What is the area of the figure? The diagram is not drawn to scale.
A. 528 in^2
B. 1,056 in^2
C. 1184 in^2
D. 1,221 in^2
Answers
Answer: The answer is B.
Step-by-step explanation:
Area of parallelogram = B*H (base times height)
Here, the base is 32 inches and the height is 33 inches.
32*33=1,056in^2
Answer:b
Step-by-step explanation:
We multiply base and height
Colin and Brian scored 59. Brian scored 59 more points than Colin ,so what are Colin and brain scored combine together ? Colin scored 62 points
Answers
Answer:
59
Step-by-step explanation:
Let c and b represent the scores of Colin and Brian respectively. Then
c + b = 59. Since brian scored 59 more points than Colin, that means c = 0 and b = 59. Their combined score is 0 + 59 = 59.
6. what is the parimeter of triangle ABC
8. What is the value of x
Answers
Answer:
Perimeter = 20 units
x = 120°
Step-by-step explanation:
We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.
We are to find the perimeter of triangle ABC and the value of x.
Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units
The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.
Two out of four angles are right angles and one is 60 so we can find the value of x.
x = 360 - (90 + 90 + 60) = 120°
Answer:
6. 20 8. 120
Step-by-step explanation:
add the side measurements up of the triangle:
2+5+2+3+3+5=7+5+8=20
That shape where the x is a quadrilateral so is't interior angles must add to 360 so you have 90+90+60+x=360
Solving: 230+x=360
So x=360-240=120
Which equation gives the length of an arc, s, intersected by a central angle of 3 radians in a circle with a radius of 4 in.?
Answers
Answer:
12 in
Step-by-step explanation:
the arc length formula is s = rФ, where Ф is the central angle in radians.
Here, the arc length is s = (4 in)(3 radians) = 12 in
Answer:
D on edge
Step-by-step explanation:
Find the area of the kite
Answers
For this case we have that the area of the kite is given by the area of two triangles, the triangles share the same base of 3 + 3 = 6 meters and one has height of 2m and the other height of 4m.
So, the total area is given by:
[tex]A = \frac {1} {2} * 6 * 2 + \frac {1} {2} * 6 * 4\\A = \frac {1} {2} 12+ \frac {1} {2} *24\\A = 6 + 12\\A = 18[/tex]
Thus, the area of the kite is [tex]18m ^ 2[/tex]
ANswer:
[tex]18m ^ 2[/tex]
In a paper bag, 7 of the 15 marbles are yellow. In a cloth bag, 2 of the 15 marbles are yellow. If Tim randomly draws one marble from each bag, what is the probability that they are both yellow?
Answers
Answer :
[tex]\frac{7}{15}[/tex]×[tex]\frac{2}{15}[/tex] = [tex]\frac{14}{225}[/tex]
Step-by-step explanation:
P([tex]Event_{1}[/tex]) = choosing yellow marble from paper bag = [tex]\frac{favourable outcomes}{possible outcomes}[/tex] = [tex]\frac{7}{15}[/tex]
P([tex]Event_{2}[/tex]) = choosing yellow marble from cloth bag = [tex]\frac{favourable outcomes}{possible outcomes}[/tex] = [tex]\frac{2}{15}[/tex]
∵ Resultant outcome is dependent upon both the events and both events are independent from each other, so we can apply intersection rule [ P(A∩B)=P(A)×P(B) ] here
∴ Probability ( Both marbles are yellow) = P([tex]Event_{1}[/tex]) × P([tex]Event_{2}[/tex]) = [tex]\frac{7}{15}[/tex] × [tex]\frac{2}{15}[/tex]
The probability that Tim will draw a yellow marble from both bags is found by multiplying the probability of drawing a yellow marble from each bag, giving a result of 14/225 or approximately 0.0622.
Explanation:The question is asking to find the probability of Tim drawing two yellow marbles, one from each bag, so this is a question about probability.
We know that there are 7 yellow marbles out of 15 in the paper bag, so the probability of drawing a yellow marble from this bag is 7/15. In the cloth bag, there are 2 yellow marbles out of 15, making the probability of drawing a yellow marble from this bag 2/15.
To find the overall probability that both marbles Tim draws are yellow, we multiply the two independent probabilities: (7/15) × (2/15) = 14/225.
So the probability that Tim will draw a yellow marble from both bags is 14/225, or approximately 0.0622 when expressed as a decimal.
These tables represent a quadratic function with a vertex at (0, -1). What is the average rate of change for the interval from x = 9 to x = 10?
Answers
Answer:
A. -19
Step-by-step explanation:
There are lots of ways to get there. One of them is to realize that the average rate of change between two adjacent numbers is the negative of their sum. -(9+10) = -19.
__
Another is to extend the table:
6 to 7 : -13
7 to 8 : -15
8 10 9 : -17
9 to 10 : -19
__
Yet another is to write an equation for the function, and compute the average rate of change:
f(x) = -x^2 -1
average rate of change from 9 to 10 = (f(10) -f(9))/(10 -9) = (-101 -(-82))/(10 -9) = -19
Answer:
A. -19
Step-by-step explanation:
(-4,0) reflected across y=0 is it
A)(-4,0)
B)(4,0)
C)(-4,-2)
D)(0,0)
Answers
Because you are pretty much reflecting the point from the 1st quadrant to the 2nd quadrant
The point (-4,0) lies on the x-axis. The line y=0 IS the x-axis. The point would be in the same place after a reflection.
What are the x- and why negative intercepts of the line
2x + 3y= -12
X-intercept -6 y-intercept -4
X-intercept -6 y-intercept 4
X-intercept -4 y-intercept 6
X-intercept 4 y-intercept -6
Answers
Answer:
Step-by-step explanation:
try using the equation of y=mx+b
The parabola opens: y=√x-4 (principal square root) up down right left
Answers
Answer:
right towards positive x axis
Step-by-step explanation:
In order to find the orientation of the parabolas we can follow following steps.
1. if in the equation x is squared , the parabola opens up. Also if its coefficient is negative it opens down.
2. If y is squared , the parabola opens right , and its coefficient is negative , it opens left
but before that we have to convert our function in standard form of the parabola. Our equation is
[tex]y=\sqrt{x-4}[/tex]
hence we square on both sides
[tex]y^2=x-4[/tex]
which is now into one of the standard form of a parabola. here y is squared and its coefficient is not negative hence it opens towards right.
What is the circumstance of the circle P .
Answers
Answer:
6π ft
Step-by-step explanation:
I believe you meant CIRCUMFERENCE, the distance around the outer edge of this circle. The appropriate formula for the circumference is C = 2πr, where r is the radius. In the illustration we see that line segment PA has length 3 ft. Thus, the circumference of this circle is C = 2π(3 ft) = 6π ft (the next to last answer choice).
Answer:
=6π ft
Step-by-step explanation:
The circumference of a circle is calculated using the formula C=2πr where r is the radius and C the circumference of the circle.
In the circle provided r= 3ft
C= 2π × (3ft)
=6π ft
We do not use the approximate value of pi as the question demands us to leave pi unsolved.
after undergoing a displacement of 18.4m, an object has a final position of 53.5.what was its initial position (unit=m)
Answers
Answer:
The initial position was 35.1 m
Step-by-step explanation:
Let
x -----> the initial position
we know that
The linear equation that represent this problem is equal to
x+18.4=53.5
Solve for x
Subtract 18.4 both sides
x=53.5-18.4
x=35.1 m
En una comunidad se intercambian productos alimenticios A, B, C y D con la modalidad del trueque, utilizando un mismo recipiente llamado a "medida" para cada producto. Si una medida de A más una de C se cambia por 5 medidas de B; una medida de A más una de B se cambia por una de C; y una medida de B más una de C se cambia por una de D, ?Cuántas medidas de B se cambian por una de D?
Answers
Answer: se necesitan 4 medidas de B para obtener una de D
Step-by-step explanation:
Las medidas serán entendidas como unidades de.. (A , B o C)
Entonces, de esta manera
1A + 1C = 5B
1A + 1B = 1 C
1B + 1C = 1D
Para lograr el cometido debo combinar las 3 relaciones de cambio de tal manera que se cancelen totalmente las partes A y C utilizando los multiplicadores adecuados
Entonces,
Uso 5 unidades de B para conseguir una de A y una de C
5B = 1A + 1C
Con esa A y otra de B obtengo otra C
1A + 1B = 1C
Por último con esas dos unidades de C y dos unidades mas de B consigo 2 de D
2B+ 2C = 2D
En total utilicé 5 + 1 + 2 = 8 unidades de B para obtener 2 de D
Entonces para obtener una de D necesitaría 4 unidades de B
Please answer this multiple choice question for 22 points and brainliest!!
Answers
Answer:
A
Step-by-step explanation:
Degree: that's the power on the x term. 2
Coefficient on the x term. That is 3
Constant term. That has no x -4
The minus is included.
The answer is A
Consider the quadratic function shown in the table below. x y 0 0 1 3 2 12 3 27 Which exponential function grows at a faster rate than the quadratic function for 0
Answers
Answer:
Graph D last graph
Step-by-step explanation:
Determine the ordered pair numbers for each letter.
Point Ordered Pair
A __________
B ___________
C __________
D __________
E ___________
Answers
Answer:
A. (1,2)
B. (3,1)
C.(4,4)
D. (6,6)
E. (8,4)
Step-by-step explanation:
Answer:
Answer:
A. (1,2)
B. (3,1)
C.(4,4)
D. (6,6)
E. (8,4)
Step-by-step explanation:
The diameter and height of this cylinder are equal to the side length, s, of the cube in which the cylinder is inscribed. What is the expression for the cylinders volume?
Answers
Answer:
V = (π/4)s³
Step-by-step explanation:
The volume of a cylinder can be found using the formula ...
V = πr²h
In this problem, we have r=s/2 and h=s. Filling in these values, the volume is ...
V = π(s/2)²·s = (π/4)s³
Answer:
Its A
Step-by-step explanation:
V= 1/4 pi S^3
Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, Blake can paint one room in 9 hours. Ned can paint the same room in 6 hours. How long will it take them to paint the room if they work together? (SHOW WORK)
Answers
Answer: 3.6 hours
Step-by-step explanation:
Given : The time taken by Blake to paint the room : [tex]t_1=9\text{ hours}[/tex]
The time taken by Ned to paint the room : [tex]t_2=6\text{ hours}[/tex]
Then , the time taken (T) by both of them to paint the room if they work together is given by :-
[tex]\dfrac{1}{T}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{9}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{5}{18}\\\\\Rightarrow\ T=\dfrac{18}{5}=3.6\text{ hours}[/tex]
Hence, it will take 3.6 hours to the two companies if they working together .
Muscles, a membership-only gym is hoping to open a new branch in a small city in Pennsylvania that currently has no fitness centers. According to their research approximately 12,600 residents live within driving distance of the gym. Muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. Based on the past survey research, Muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. Based on this information and the results of the sample survey, about how many residents should Muscles expect to join its new branch?
A) 134
B) 504
C) 1,680
D) 3,780
Answers
Answer:
B) 504
Step-by-step explanation:
They should expect 30% of 40 out of every 300 of the 12,600, so ...
0.30 × 40/300 × 12,600 = 504
About 504 residents might be expected to join.
To estimate the number of residents that Muscles can expect to join its new branch, multiply the total number of residents within driving distance by the percentage of respondents who would actually join the gym. Muscles can expect about 1,680 residents to join its new branch.
Explanation:
To estimate the number of residents that Muscles can expect to join its new branch, we can multiply the total number of residents within driving distance by the percentage of respondents who would actually join the gym.
First, we need to calculate the percentage of respondents who would join the gym:
Percentage = (Number of respondents who would join the gym / Total number of respondents) * 100
Percentage = (40 / 300) * 100 = 13.33%
Next, we multiply the estimated percentage by the total number of residents within driving distance:
Number of residents who would join the gym = (Percentage / 100) * Total number of residents within driving distance
Number of residents who would join the gym = (13.33 / 100) * 12,600 = 1,678.5
Therefore, Muscles can expect about 1,680 residents to join its new branch.
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What is the value of the discriminant, b2 ? 4ac, for the quadratic equation 0 = x2 ? 4x + 5, and what does it mean about the number of real solutions the equation has?
Answers
Answer:
Discriminant D = -4 , no real solution
Step-by-step explanation:
Here our equation is
[tex]x^{2}-4x+5=0[/tex]
Discriminant (D)= [tex]b^2-4ac[/tex]
where
a = coefficient of term containing [tex]x^{2}[/tex]
b= coefficient of the term containing [tex]x[/tex]
c is the constant term
hence
a=1 , b =-4 and c=5
Hence
[tex]D=b^2-4ac\\D=(-4)^2-4*1*5\\D=16-20\\D=-4\\[/tex]
Hence D is less than 0 , therefore we do not have any real solution to this quadratic equation.
Answer:
b on edge-The discriminant is −4, so the equation has no real solutions.
Step-by-step explanation:
(PLEASE dont ignore, NEED help❗️❗️❗️)
Answers
Answer:
Part 21) The distance from Football Field to the Park is [tex]10.95\ miles[/tex]
Part 22)
a) The value of a is [tex]20\ units[/tex]
b) The value of b is [tex]20.10\ units[/tex]
Step-by-step explanation:
Part 21)
Let
A -----> Football Field
B -----> Park
C -----> Home
D -----> Library
x -----> the distance from Football Field to the Park
In the right triangle ABD
[tex]cos(A)=10/x[/tex] -----> equation A
In the right triangle ABC
[tex]cos(A)=x/12[/tex] ----> equation B
equate equation A and equation B
[tex]10/x=x/12[/tex]
solve for x
[tex]x^{2}=120\\ \\x=10.95\ miles[/tex]
Part 22)
see the attached figure with letter to better understand the problem
step 1
Find the value of a
In the right triangle ABD
[tex]tan(ABD)=a/200[/tex] ----> equation A
In the right triangle ADC
[tex]tan(DAC)=2/a[/tex] ----> equation B
remember that angle ABD is congruent with angle DAC
therefore
equate equation A and equation B
[tex]a/200=2/a[/tex]
solve for a
[tex]a^{2}=400\\ \\a=20\ units[/tex]
step 2
Find the value of b
In the right triangle ADC
Applying the Pythagoras Theorem
[tex]b^{2}=a^{2}+2^{2}[/tex]
substitute the value of a
[tex]b^{2}=20^{2}+2^{2}[/tex]
[tex]b^{2}=404[/tex]
[tex]b=20.10\ units[/tex]
A car travels down a highway at a constant speed shown in the graph below.
Find the speed of the car.
__________ kilometers per hour
Answers
Answer:
80 per hour
Step-by-step explanation:
because every hour it goes up 80 every time
The speed of the car is 80 km/h.
What is the speed of the car?Speed exists as the time rate at which an object exists moving along a path, while velocity exists as the rate and direction of an object's movement. Put another way, speed exists as a scalar value, while velocity is a vector.
Speed exists the rate at which an object’s position changes, measured in meters per second.
The speed of the car is 80 km/h.
Therefore, 80 km/h stands as the correct answer.
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