Answer:
[tex]b_2 = \frac{2A}{h} -b_1[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}h(b_1 + b_2)[/tex]
Required
Select equivalent expressions
Multiply through by 2
[tex]2*A = 2*\frac{1}{2}h(b_1 + b_2)[/tex]
[tex]2*A = h(b_1 + b_2)[/tex]
[tex]2A = h(b_1 + b_2)[/tex]
Divide through by h
[tex]\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}[/tex]
[tex]\frac{2A}{h} = b_1 + b_2[/tex]
Subtract b1 from both sides
[tex]\frac{2A}{h} -b_1= -b_1 + b_1 + b_2[/tex]
[tex]\frac{2A}{h} -b_1= b_2[/tex]
[tex]b_2 = \frac{2A}{h} -b_1[/tex]
From the list of options, there is only one answer
f (x) =2x+10 identify the zeros of the function algebraically
Answer:
x= -5
Step-by-step explanation:
if youre looking for the x this is the answer.
I need help with this
Answer:
Here is the summary of true statements:
A) The statement of the function modeled is (0, 3) is TRUE.
D) the equation for the line function is y = 2x+3 is TRUE.
E) the given table represents the linear function is TRUE
Step-by-step explanation:
Given the table
x 1 3 5 7
y 5 9 13 17
E)
It is clear that there is a CONSTANT CHANGE in the x and y values of the graph.
THE CONSTANT CHANGE IN X VALUES
i.e. 3-1=2, 5-3=2, 7-5=2
THE CONSTANT CHANGE IN Y VALUES
i.e. 9-5 = 4, 13 - 9 = 4, 17 - 13 = 4
Thus, the given table represents the linear function is TRUE
B)
It is clear that the value of y increase as the value of x increases.
Thus, the statement ''the value of y decreases as the value of x increases'' is FALSE!
D)
We know that the slop-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept.
Determining the equation
Taking two points
(1, 5)
(3, 9)
Finding the slope between (1, 5) and (3, 9)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [9 - 5] / [3 - 1]
= 4 / 2
= 2
Thus, the slope of the line = m = 2
now substituting m = 2 and the point (1, 5) to determine the y-intercept
y = mx+b
5 = 2(1) + b
b = 5-2
b = 3
Thus, the value of y-intercept b = 3
substituting b = 3 and m = 2 in the slope-intercept form
y = mx+b
y = 2x+3
Therefore, the equation for the line function is y = 2x+3 is TRUE
A)
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
We already know that the y-intercept b = 3
It means the y-intercept modeled is (0, 3)
Therefore, the statement of the function modeled is (0, 3) is TRUE.
C)
We have already got the equation
y = 2x+3
substituting x = 8
y = 2(8)+3
y = 10+3
y = 13
so at x = 8, the value of y = 13
Therefore, the statement that the ''On a graph of the function when x = 8, the value of y will be 2'' is FALSE!
Conclusion:
Here is the summary of true statements:
A) The statement of the function modeled is (0, 3) is TRUE.
D) the equation for the line function is y = 2x+3 is TRUE.
E) the given table represents the linear function is TRUE
VOTING BRAINLIEST
The table shows a relationship between x and y.
Which statement is supported by the rate of change for this relationship?
A. The value of y increases by 14.50 when the value of x increases by 1.
B. The value of y increases by 43.50 when the value of x increases by 8.
C. The value of y increases by 21.75 when the value of x increases by 3.
D. The value of y increases by 7.25 when the value of x increases by 2.
Answer:
A
Step-by-step explanation:
i used a calculator
Pls help i dont understand
Only number 14 and pls explain txs
Step-by-step explanation:
since right angle triangle,then:
180-(90+35)=B=55
use cosB=opposite/hypotenuse
cos55=x/12
x=cos55x12
x=6.88
9514 1404 393
Answer:
9.8
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship involving the adjacent side and the hypotenuse:
Cos = Adjacent/Hypotenuse
cos(35°) = x/12
Multiplying by 12 gives x:
x = 12·cos(35°) = 12×0.81215
x = 9.8
Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?
What polygon is formed by
joining the points
(1, -1), (4, -1), (-1, -3),
and (7, -3)?
Answer:
Its a trapezoid
Step-by-step explanation:
Also you don't have to ask this on brainly
go to desmos its a free graphing calculator
Please mark me brainliest I'm doing a challenge
Rachel has ridden 68 miles of a bike course. The course is 80 miles long. What percentage of the course has Rachel ridden so far?
Answer:
92%
Step-by-step explanation:
since i helped can i have brainlst please that would be greatly apericated
Answer:
85%
Percentage solution with steps:
Step 1: We make the assumption that 80 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100% = 80.
Step 4: In the same vein, x% = 68.
Step 5: This gives us a pair of simple equations:
100% = 80(1)
x% = 68(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left-hand side) of both equations have the same unit (%); we have
100%/x% = 80/68
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100% = 68/80
__>x = 85%
Therefore, 68 is 85% of 80.
what is the solution of √5x+1-√x=5
Answer: x= 16
Step-by-step explanation:
Solve for x
√(5x + 1) − √x = 5
Add √x to both sides of the equation.
√(5x + 1)^2 = 5( + √x )^2
To remove the radical on the left side of the equation, square both sides of the equation.
√5x + 12 = (5 + √x)^2
Simplify each side of the equation.
5x + 1 = 25 + 10√x + x
Solve for 10√x.
10√x = 4x − 24
To remove the radical on the left side of the equation, square both sides of the equation.
(10√x)^2 = (4x − 24)^2
Simplify each side of the equation.
100x = 16x^2 − 192x + 576
Solve for x.
x = 9/4 , 16
Exclude the solutions that do not make √5x + 1 − √x = 5 true.x = 16
5/7 + 2/3
Plz Answer
Answer:
29/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
Answer:
1.38 or 1 and 1/7
Step-by-step explanation:
5/7 + 2/3
10/21 + 14/21= 24/21
then your have to divide 24 by 21 = 1 and 3/21
then simplify 1 1/7
does this help?
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. A car stereo is on sale for $250 from its original $273 cost. What is the percent of the discount?
A. 84%
B. 92%
C. 9.2%
D. 8.4%
————————————————————————————————————————————————————————
2. The Universal Sports Company purchases weight racks directly from the manufacturer for $46 each. The weight racks are marked up 210% of the wholesale cost and sold. What is the amount of mark-up of each weight rack?
A. $1012
B. $966
C. $96.60
D. $142.60
————————————————————————————————————————————————————————
3. A television set that has an original price of $325.50 is on sale for 30% off. What is the selling price of the television?
A. $423.15
B. $97.65
C. $325.50
D. $227.85
————————————————————————————————————————————————————————
4. The Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce. The mark-up rate is 75% of the cost to produce. What is the retail price?
A. $280
B. $490
C. $770
D. $210
Thanks for the help!
Answer:
[tex]\mathrm{1.\:D.\:8.4\%}\\\mathrm{2.\:C.\: \$96.60}\\\mathrm{3.\:D.\: \$227.85}\\\mathrm{4.\:B.\:\$490}[/tex]
Step-by-step explanation:
1. The car's initial price was $273. Since the sale price is $250, the car is on a [tex]273-250=\$23[/tex] discount. The percent of discount is the discount price over the initial price:
[tex]\frac{23}{273}\approx \fbox{$8.4\%$}[/tex].
2. Since the weight racks were initially priced $46, then marked up 210%, their mark-up is:
[tex]46\cdot2.1=\fbox{$\$96.60$}[/tex]
*Worth noting that this is the mark-up (as the question is asking), not the total price after the mark-up.
3. The TV's initial price is $325.50. If it's on sale for 30%, it's final price will be [tex]100\%-30\%=70\%[/tex] of the initial price:
[tex]\$325.50\cdot 0.7=\fbox{$\$227.85$}[/tex]
4. The final retail price will be the initial price + the mark-up:
[tex]280+280(0.75)=\fbox{$\$490$}[/tex].
P L E A S E H E L P M E W I LL SC A M Y O U I F U T A K E M Y P O I N T S
Answer:
its c and no im not scaming L o l
Step-by-step explanation:
Domain and Range NAME: MR. Q State the domain and range for each graph and then tell if the graph is a function (write yes or no). 1) Domain 2) Domain 3Doman Range Range Range Function? Function? Function?
Answer:
1) Domain = -3 ≤ x ≤ 2
Range = -4 ≤ y ≤ 5
Function? No
Step-by-step explanation:
From the given graph, we have;
The domain of the dot plot = -3 ≤ x ≤ 2
The range of the dot plot = -4 ≤ y ≤ 5
From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3
Therefore, the relation is not a function as one input value produces two output values.
!Plsss help mee!! I will give u BRAINLYEST!!
What radius length would
make a circle with an
area of 78.5 in.2?
A. R=3 in
B. R=5in
C. R=10in
D. R=25in
Answer:
r≈5
the answer is b
If the distance from the center of a Ferris wheel to one of the seats is approximately 90 feet what is the distance traveled by a seated person, to the nearest foot, in four revolutions r=90 feet
Answer: 2261.9 ft
Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report sig fig, so that's 2000 ft.
The total distance traveled by the seated person is 2260.8 feet.
How do you calculate the distance?Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.
The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.
One revolution = [tex]2\pi r[/tex]
One revolution = [tex]2 \times 3.14\times 90[/tex]
One revolution = 565.2 feet
Hence the distance covered in four revolutions can be calculated as below.
Total Distance = [tex]4 \times 565.2[/tex]
Total Distance = 2260.8 feet
Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.
To know more about the distance, follow the link given below.
https://brainly.com/question/1214027.
What formula would you write for this line?
Answer:
i was able to get y = 1.3x - 2
The student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405
What is DjDan's hourly rate?
Answer:
$80
Step-by-step explanation:
DJ Dan's hourly rate will be $80.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.
Assume that the hourly rate is $[x]. Than, we can write -
3.5x + 125 = 405
3.5x = 405 - 125
3.5x = 280
x = (280/3.5)
x = 80
Therefore, DJ Dan's hourly rate will be $80.
To solve more questions on equations, expressions and polynomials, visit the link below -
https://brainly.com/question/17421223
#SPJ2
Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7
A. 2/5
B. 5/2
C. 5/5
D. 4/4
what are the common denominators for 2/12 and 7/8
plz help
please help me it's in like 10 minutes..................
Answer:
The annual interest rate is 12.05%
Step-by-step explanation:
Help pls!! Find the value of x and EF
Please help me I need ASAP
Answer:
(3)
Step-by-step explanation:
Dividing both sides by Pt, we get option (3).
i’m struggling help please
Answer:
Step-by-step explanation:
the slope would be y2-y1/x2-x1
so the distance is y and the time is x so what you are going to do is 30-18 over 5-3 which then means it would be 12/2 which equals 6
Find the volume of the figure. Round to nearest hundredth. *
Answer:
6 mi
Step-by-step explanation:
I think so it 6mi I need help
Consider two people where one person is 25% taller than the other but proportion in exactly the same way That the taller person looks like a lager version of the shorter person Suppose the shorter person has a 36%-inch waist what size is the the taller person's waist?
Answer:
46.8 inches
Step-by-step explanation:
Taller person = 30% more than height of shorter individual
Waist size of shorter person = 36 inches
Since they are proportioned in the same way:
Waist size of the taller person will be 30% larger than the waist size of the shorter person :
30% increase in size 36
(100 + 30)% of 36
130% of 36
(130 / 100) * 36
1.3 * 36
= 46.8 inches
Plz some answer this question, i posted this question 1000times plz answer, thank you so much, plz show all the working GOD BLESS YOU
Answer:
610.9 km
Step-by-step explanation:
For the plane that is flying at 520km/h:
520km/h * 45minutes * 1h/60minutes = 390 km
For the plane that is flying at 480km/h:
480km/h * 45minutes * 1h/60minutes= 360 km
This is a SAS triangle which means Side angle Side
the formula for this is: a^2 = b^2 + c^2 − 2bc cosA
for this problem it should be:
a^2= (390^2) +(360^2) - 2(390*360)*cos(115)
a should be approximately 610.9 km
The same cold front hit Harhord, Connecticut the next morning. The temperature dropped by 5 degrees each hour from 5:00 a.M. To 9:00 a.M. What was the beginning temperature at 5:00 a.M. If the temperature at 9:00 a.M. Was -12F ?
Answer:
This doesn't make sense
Step-by-step explanation:
This doesn't make sense please emphasize
Which of the following is true about the inequality below?
*>9
A. The inequality has an infinite number of solutions.
B. The inequality has no solutions.
C. The inequality has 2 solutions.
D. The inequality has 1 solution.
i need to know asap!!!
Answer:
I'm guessing A, but am not sure, as for any number can go there if it's over 9!
Which of the following is the equation of the line shown graphed below?
Answer:
Is the 4
Step-by-step explanation:
A $310 suit is marked down by 20%. Find the sale price.
Answer:
the answer is 62!
Step-by-step explanation:
multiply
Answer:
$248
Step-by-step explanation:
310/100=3.1
3.1x20=62
310-62=248$