Answer:
x ^2 + 5xStep-by-step explanation:
Let the area of the two triangles be expressed as;
f(x)= 4x^2+6x
g(x)=3x^2-x
Taking the difference
h(x) = f(x) - g(x)
h(x) = 4x ^2+6x - 3x^2-x
Collect like terms'
h(x) = 4x ^2 - 3x^2+6x-x
h(x) = x ^2 + 5x
Hence the difference is x^2 + 5x
Note that the functions were assumed. The same methos can be applied to any other given functions.
Answer:
B: h(x) = 4x2 – 4x + 11
Step-by-step explanation:
I just did the assignmement on EDGEN and it's 200% correct!!
Also, heart and rate if you found this answer helpful. (P.S it makes me feel good to know that I helped someone today!!)
Which expression represents a number that is 8 times as large as 19, 520 - 1,478?
Answer:the answer is 154682
Step-by-step explanation:
The table represents a Linear function, what is the slope of the function?
Answer:
m = 3
Step-by-step explanation:
Pick two points from the table.
(-1, 1) and (1, 7)
Apply the slope formula.
[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]
Hope this helps.
What is the least angle of rotation that maps the regular heptagon onto itself? Round your answer to
the nearest whole degree.
Answer:
[tex]Minimum = 51^{\circ}[/tex]
Step-by-step explanation:
Given:
[tex]Shape = Heptagon[/tex]
Required
Determine the least angle of rotation that places the heptagon on itself
First, we write out the number of sides of a heptagon
[tex]Sides = 7[/tex]
Next, we write out the measure of 1 complete rotation
[tex]1\ Complete\ Rotation = 360^{\circ}[/tex]
The minimum angle of rotation is then calculated as:
[tex]Minimum = \frac{1\ Complete\ Rotation}{Sides}[/tex]
[tex]Minimum = \frac{360^{\circ}}{7}[/tex]
[tex]Minimum = 51.4285714286^{\circ}[/tex]
[tex]Minimum = 51^{\circ}[/tex]
Hence, the minimum rotation angle is [tex]51^{\circ}[/tex]
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?
Answer:
The answer for the first part would be 3.89 minutes for the eight graders. There are 60 seconds in one minute so you’d have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes. That’s more than 4 minutes, so the seventh graders would earn the points instead.
Step-by-step explanation:
The seventh graders would earn the points instead and awarded 40 points.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points.
If not, the seventh graders earn 40 points.
There are 60 seconds in one minute so, we have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes.
That’s more than 4 minutes, therefore, the seventh graders would earn the points instead.
Hence, 3.89 minutes for the eight graders.
The seventh graders would earn the points instead and awarded 40 points.
Learn more about the unitary method, please visit the link given below;
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proove that
1/1-sin theta + 1/1+cos theta = 2×sec square theta
Answer:
Step-by-step explanation:
We are to show that 1/1-sin theta + 1/1+cos theta = 2×sec square theta
Starting from the left hand side of the expression:
1/1-sin theta + 1/1+cos theta
Find the LCM
[tex]\frac{1}{(1 -sin \theta) (1+cos \theta)} \\\\= \frac{1+cos \theta + 1 -sin \theta ]}{(1 -sin \theta) (1+cos \theta)} \\ = \frac{2+cos \theta - sin \theta}{1+cos \theta - sin \theta - sin \theta cos \theta}[/tex]
Please help thank you
Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°
Answer:
complementary means that their measures add up to 90 degrees. since they're also congruent, they have to be the same measure.
90/2= 45 degrees which is your answer
Step-by-step explanation:
I hope this helps :)
Answer:
45 degrees
Step-by-step explanation:
i just took the test on edge
what is the gradient of a line with an equation of 3x-2y-6=0
Answer:
Slope m = 3/2
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define Equation
3x - 2y - 6 = 0
Step 2: Rewrite
Find slope-intercept form
Subtract 3x on both sides: -2y - 6 = -3xAdd 6 on both sides: -2y = -3x + 6Divide -2 on both sides: y = 3/2x - 3Step 3: Break Function
Identify Parts.
Slope m = 3/2
y-intercept b = -3
what 157423 x 104969
Answer:
16524534887
Step-by-step explanation:
Answer:
16524534887
Step-by-step explanation:
just multiply, takes a while but you can do it
or you can just use a calculator
(I’ll give brainliest)
Answer:
letter choice A and C
Step-by-step explanation:
jshdhd
use the distributive property to rewrite the expression 3 (2+11)
Answer:
3(2+11) = 3x2 + 3x11
Step-by-step explanation:
Is a $250 gift for his friend over or under the 12% spending guideline for gifts
9514 1404 393
Answer:
under
Step-by-step explanation:
On average, there are 4 1/3 weeks in a month, so Andy's salary is equivalent to ...
(4 1/3 wk/mo)($975/wk) = $4225/mo
The spending guidelines are that no more than 12% should be spent on gifts and entertainment, so Andy's gift budget is ...
12% × $4225/mo = $507/mo
A gift of $250 falls well within Andy's monthly gift budget limit of $507.
_____
Additional comment
Andy's housing allowance is about 30% of $4225, or $1267.50. His mortgage expense is over his budget amount by $82.50. Even if Andy takes this from his gift budget, he still has a sufficient amount for the birthday gift.
A movie theater needed six hundred eighty-six popcorn buckets. if each package has four buckets in it, how many packages will they need to buy?
Answer:
You will need 172 packets
Step-by-step explanation:
There's 4 packets in each bucket so you will
need to divide 868 by 4. The asnwer to that is
171.5 so if you round that up to the nearest whole
number you get 172 :)
When it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo. How far ahead of Anchorage is Tokyo?
a. 6 hours
b. 16 hours
C. 18 hours
d23 hours
Answer:
C
Step-by-step explanation:
Go back from 11:00 pm until you get to 5:00 am (don’t mistaken it for 5:00 pm) and you should get 18 or go from 5:00 am and count up to you get to 12:00 pm and that’s 7 hours. Then go from 12:00 pm until you get to 11:00 pm and that’s 11 hours. 11+7=18
The Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.
What is the time zone?For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.
We have:
Time in Anchorage = 5:00 a.m.
Time in Tokyo = 11:00 p.m.
The difference between these two-time zone is:
TIme difference = 18 hours
18 hours ahead of Anchorage is Tokyo.
Thus, the Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.
Learn more about the time zone here:
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The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the dimensions of the smaller rectangle.
Answer:
5cm by 1.95cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width be y
Perimeter of a rectangle = 2x + 2y
If the initial perimeter of a rectangle is about 13.9 cm, then;
13.9 = 2x + 2y ..... 1
If when the width is double the perimeter is 17.8cm, then;
17.8 = 2x + 4y ..... 2
Subtract 1 from 2;
13.9 - 17.8 = 2y - 4y
- 3.9 = -2y
y = 3.9/2
y = 1.95 cm
Substitute y = 1.95 into 1 to get x;
From 1;
13.9 = 2x + 2y
13.9 = 2x + 2(1.95)
13.9 = 2x + 3.9
2x = 13.9-3.9
2x = 10
x = 5 cm
Hence the dimension of the smaller triangle is 5cm by 1.95cm
Which of the decimal value given below is the largest?
0.52
0.052
0.0052
I NEED THIS QUICK PLEASE ILL MARK YOUR BRAINLY
The sum of 2 numbers is 96. The larger number is 9 less than 4 times the smaller. Find both numbers.
Answer:
75 & 21
Check:
75 + 21 = 96
21 * 4 - 9 = 75
Correct!
Answer:
the smaller number is 21 and the larger number is 75
Step-by-step explanation:
First make a simple equation where x = the smaller number and y = the larger number
ie: 96=x+y
Now make an equation to find the larger number.
ie: y=4x-9
Now substitute the y value in the first equation for the y value in the second equation
ie: 96=x+(4x-9)
Then solve for x
ie: x=21
Then plug in your new x value into the first or second equation to solve for y.
ie: 96=21+y
ie: y=75
the 20% discount on a $55 on a sweatshirt
Answer:
44
Step-by-step explanation:
2020-21
19 of 35
Text-to-Speech
19. Brian bought a new jacket at a discount of 30%. If the original price was $65, how
much did Brian pay for the jacket?
Answer: Brain paid $ 45.5 for the jacket.
Step-by-step explanation:
Given: Original price of jacket = $ 65
Discount -= 30%
Price after discount = Original price - 30% of Original price
= 65 - 30% of 65
= 65 - (0.3) x 65 [30% = 0.3]
= (65) (1-0.3 ) [Taking 65 common]
= (65)(0.7)
= $ 45.5
Hence, Brain paid $ 45.5 for the jacket.
Find the area of Pentagon ABCDE in which BL perpendicular to AC, CM perpendicular to AD, EN perpendicular to AD such that AC = 8 cm, AD = 12 cm, BL = 4 cm, CM = 6 cm and EN =5cm.
Answer:
Area ABCDE = 82 cm²
Step-by-step explanation:
ABCDE = ΔEAD + ΔDAC + ΔCAB
ABCDE = (12×5)/2 + (12×6)/2 + (8×4)/2 = 30+36+16 = 82
4/5 divided by -2/9 in simplest form
Answer:
-18/5
Step-by-step explanation:
4/5 x -9/2 = 2/5 x -9= -36/10= -18/5
Help me pls I don’t know this
Answer:
elapsed time: 3 hours and 49 minutes
Step-by-step explanation:
On a school trip the ratio of teachers to students is 2:5.
There are 60 students on the trip.
Work out the total number of people in the trip
Step-by-step explanation:
teacher to student:
2:5
student: 60
teacher?
2:5=24:60
total:84....
m not sure
Combine like-terms of 6x-2x-2=-3x+4(x+7)
Five members of the Varsity Math team are running late for a big
competition and hurrying toward the arena - but they forgot that they would
have to cross the stream that cuts through campus. When they reach the
stream, there's a small boat tied up on their side that they can "borrow” to get
to the other side.
The boat will hold one, two or three of the students, but not more.
Fortunately, two of the team members are also on the crew team, and when
the boat contains only one or both of them, they can make it across the stream
in one minute. Unfortunately, the other three teammates are very
inexperienced with boats, and when any of them is aboard, there is so much
awkwardness and flailing that the crossing will take four minutes, regardless
of whether one of the crew teammates is on board.
Answer: What is the question?
help im stuck on this question
Answer:
10
Step-by-step explanation:
[tex]\frac{40-20}{4-2} =10[/tex]
Simplify. Rewrite the expression in the form 8^n. (8^−8 )(8^3)
Answer:
Step-by-step explanation:
find the measure of BEK
Step-by-step explanation:
Angles BEC and KEC are labelled as congruent.
Therefore (6x + 24)° = 10x°, 4x = 24, x = 6.
Hence Angle BEK = (6x + 20)° + 10x°
= (16x + 24)° = 16(6) + 24 = 120°. (C)
The value of ∠BEK will be 120° so option (C) will be correct.
What is congruence?
If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.
In other meaning, if you can copy a figure then that copy and the original figure will be congruent.
Given figure has two triangles ΔCBE and ΔCKE.
The angle of (6x + 24)° is the same as (10x)° ( given congruency of angle by double line)
So,
6x + 24 = 10x
10x - 6x = 24
4x = 24
x = 6°
So,
Angle ∠BEK
∠BEK = (6x + 24) + (10x)
∠BEK = 6(6) + 24 + 10(6)
∠BEK = 120°.
Hence "The value of ∠BEK will be 120° ".
To learn more about congruent,
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Please solve these two. Emergently, Thank you.
Answer:
(D) 1/2 - 3√3/4πStep-by-step explanation:
Problem 22 is not fully visible with missing detailsProblem 25 is solved onlyDiameter = 20 cm → radius = 10 cm
Each triangle has its side equal to radius = 10 cm
Each shaded region is the difference of area of the sector and triangle
Each sector is 60° as triangles are equilateral
Area of circle is:
πr² = 100πArea of each triangle is:
√3/4a² = √3/4r²= 100×√3/4So the shaded area is:
3(πr²/6 - √3/4a²) = 3(π×10²/6 - √3/4×10²) =100(π/2 - 3√3/4) = 100π(1/2 - 3√3/4π)Since 100π is the area of circle, the shaded area is:
1/2 - 3√3/4π part of area of circle if we divide the shaded area by the area of circle.Correct choice is D
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Answer:
it's true
Step-by-step explanation:
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