The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have line;
2x+y=8
x/4 + y/8 = 1
Coordinate for A(4, 0) and B(0, 8)
To find the coordinate C we will use external section formula:
Let (a, c) be a coordinate for C
AB : BC = 2:1
AC:BC = 3:1
[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]
C(a, b) = (-2, 12)
Let coordinate for E(0, e) and for D(f, 0)
EC:DC=1:2 and C(-2, 12)
So after applying section formula, we will get:
E(0, -3) and D(0, 36)
Area of triangle AEC = (1/2)(7)(12) = 42 square units
Area of triangle BCD = (1/2)(28)(2) = 28 square units
ratio of area of triangle AEC : area of triangle BCD = 42:28
= 21:14
Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
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a/b x 8c
when a=2/3
b=1/2
c=3/4
Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm
Answer:
16
Step-by-step explanation:
no image, but 6 + 2 + 2 + 6 = 16
factors and find
i) the HCF of 48,30 and 18.
ii) the LCM of 48, 30 and 18.
If q is inversely proportional to p and q =120 and p=2
Answer:
complete your question please
Question 8 of 10
Suppose a sample consists of the following data values. What is the sample
mean?
6,7,3,9,2,4,5,9,9,3,7,8
O A7
B. 6
C. 5
Answer:
whatever number is repeating the most is the answer.
HELP PLEASE <3
What is the area of the circle with the equation 2x2 + 2y2 = 8?
show work pls !!
Answer:
4pi
Step-by-step explanation:
Divide through by two to get
x^2 + y^2 = 4 4 = radius squared radius = 2
area = pi r^2 = 4 pi
Answer: 4π
Step-by-step explanation:
Under the assumption that those are exponents, and your equation is:
[tex]2x^2+2y^2=8[/tex]
You first must turn this circle equation into standard form. The standard form for the equation of a circle is as follows:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
For your case, the constants 'a' and 'b' are clearly zero. We have an annoying coefficient of 2 which can be cancelled by dividing both sides by 2:
[tex]x^2+y^2=4[/tex]
If you'd like, we can write this in the following way:
[tex](x-0)^2+(y-0)^2=2^2[/tex]
So, our circle is centered at the origin (0, 0) and has a radius of 2 units. The area of a circle is given by the formula:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (2^2)=4\pi[/tex]
What's the formula for an arc of a circle?
I need help please and thank you and show work
Answer:
50 m
Step-by-step explanation:
We find the perimeter by adding all the sides of our figure.
The initial figure has perimeter :
P = 2 + 5 + 1 + 3 + 3 + 1 + 5
P = 20 m
The dilated figure with the scale factor of 2.5 has perimeter:
P = (2 + 5 + 1 + 3 + 3 + 1 + 5 ) · 2.5
P = 20 * 2.5 = 50 m
Charlie is correct.
3. The principal wants to know if students at Meadows Senior High School are in favor of a new dress code at their
school. The principal is not able to ask the opinion of every student at the school, so she needs to select an
appropriate sample of the students to represent the high school. Select which sample of students the principal
should choose.
A. Students randomly selected from a list of all students at the school.
B. Students sitting at randomly selected tables in the library.
C. Students she selects from the hall way between classes.
D. Students selected by the teachers.
Answer:
(A)
Step-by-step explanation:
(D) is already out since the teachers may have favorites or unfavorites.
(C) is already out since you can't be in all the halls at once.
There is only (A) and (B).
I think it's (A) and not (B) because it might not be a classes/grades library day.
Hello people ~
Help me with the question attached above.
Thanks in advance!!
Step-by-step explanation:
radius = 10 cm
volume = v
height h cm
[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]
hope it's helpful thanks
the ratio of the 6th and 8th term of an ap is 7:9. find the ratio between the sum of its first 10 terms to sum of its first 20 terms
Step-by-step explanation:
Tn = a + (n-1)d
where a is the first term, d is the common difference and n is the nth term
For the 6th term: T6 = a + (6-1)d
= a + 5d
For the 8th term: T8 = a + (8-1)d
= a + 7d
From the question (a + 5d)/(a + 7d) = 7/9
From the Equation above, we can say that;
a + 5d = 7......1
a + 7d = 9.....2
Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1
Sn = n/2[2a + (n-1)d]
where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.
By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms
Answer:
see analysis for detailed explanation
help me, please??????
Answer:
B
Step-by-step explanation:
The slope of this function is obviously decreasing, and the point where it intersects the y axis, is (0,-2)
Answer B contains this information
Hope this helps!
Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit
rule for the sequence in simplified form? what is the recursive rule?
The explicit rule for the sequence in simplified form is y = 30000(2)^n
How to write the exponential functionThe standard exponential equation is expressed as:
y = ab^n
Given the following parameters
a is the initial values = 30,000
If the amount doubles each year then b = 2
Substitute the parameters
y = 30000(2)^n
Hence the explicit rule for the sequence in simplified form is y = 30000(2)^n
Learn more on explicit rule here: https://brainly.com/question/2059043
Answer: Explicit Rule: a_n=30,000 • 2^n-1 Recursive Rule: a_n = 2a_n-1; a_1 =30,000
Step-by-step explanation: the Explicit Rule for a geometric sequence is a_n = r • a_n -1 and the Recursive Rule is a_n = a_1 • a_n-1
a_1 is the first term and r is the common ration. In this case, the first term is 30,000 as stated in the question and the common ration is 2 since it doubles each time. So substitute those numbers into the formulas and that’s what you’ll get! Hope this helps! God bless you all!!
Kareem rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 91 cents for each mile driven. Kareem had to pay
$206.36 when he returned the truck. For how many miles did he drive the truck?
what is the approximate value of x when f(x) = g(x)
Answer:
I'm a little confused by this question:
Lines and things that are linear are relatively boring in mathematics. What if my function f(x) = g'(x). I’m going to ask the same question in a different way.
What is an approximate value of g'(1.1)?
So I know L(x)=f(a)+f′(a)(x−a)
If I substitute items in, I get g′(x)+g′′(x)(x−x).
Since x−x=0 I always am going to end up with L(x)=g′(x)
I don't think this can be the right answer since I know the whole point is to use the 2nd derivative, but if you get 0 for (x−a), then the whole part ends up being 0. What am I missing here?
I'm completely lost here because these are the followup question after the one above:
Now things are interesting. Suppose g(1) = 0 and g'(1) = 1.
Use linear approximation to approximate the value of g(1.1). The answer to #2 and #3 gives us a slope of a tangent line and a value of a function, which we can use.
Use your previous answers to approximate the value of g(1.2). Somehow, this second derivative has caused an adjustment to our approximation.
What did using the second derivative do to the approximation?
Do you believe the approximation is better or worse than our original?
Step-by-step explanation:
Scaling factors! Help!
Answer:
x=15
y=2
Step-by-step explanation:
the scale factor is 6:1
if you divide 12 by 6 you get 2
so y=2
if you multiply 6 by 2.5 you get 15
so x=15
Find the Perimeter of each figure. Show your Solution.
(Note: No Solution considered wrong)
Answer:
1) 40 m; 2) 18 cm
Step-by-step explanation:
1) Length = 10 m
Breadth = 4 m
Perimeter of a rectangle
= length (l) × breadth (b)
= 10 × 4
= 40 m
2) Side 1 = 6 cm
Side 2 = 8 cm
Side 3 = 4 cm
Perimeter of a triangle
= Side 1 + Side 2 + Side 3
= 6 + 8 + 4
= 18 cm
_______
Hope it helps ⚜
Answer:
1. 28m
2. 18 cm
Step-by-step explanation:
Perimeter of rectangle = 2× (length + breadth )
=> 2 ( 10 + 4 )
=> 2 ( 14 )
=> 28 m
Perimeter of triangle = side a + side b + side c
=> 6cm + 8cm + 4cm
=> 18 cm
b) In a survey among 65 people about their favourite fruits, it was found that the number of people who like mango is twice the number of people who like orange. If 10 people like both fruits and 15 do not like any of them, using Venn diagram find the number of people who like (i) Mango only, (i) Orange . ככה swer 10
Answer:
i}. Mango only (no(M))=30
ii}.Orange (n(O))= 20
Find each real root.
Answer:
Step-by-step explanation:
I'm assuming the 7 is the question number.
The cube root is -2. There is only 1 real root.
You could find it this way. ∛(-8) = ∛-2 * - 2 * - 2
The rule for cube roots when the number has 3 roots that are the same is to take one outside the ∛ sign and discard the other 2.
-2 ∛1 The cube root of one is one.
If P={a,b,c} and Q={r}, form the sets PUQ?
If 7 4/5 of the total came to 109,200, what is the total?
Tony cut a piece of string 90 cm long into three in the ratio of 2:5:3.What is the length of the medium piece?
a. 18cm b. 24cm c. 27cm d. 45cm
Answer:
D
Step-by-step explanation:
We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.
Left piece : 2 x 9 = 18 cm
Middle piece : 5 x 9 = 45 cm
Right piece : 3 x 9 = 27 cm
D is the correct answer.
I hope this helps and please mark me as brainliest!
A circular flower bed in a botanical garden has a radius of 4 feet. what is the area of the flower bed? use 3.14 for π . enter your answer to the nearest hundredths place in the box. question 7 options:
The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A circular flower bed in a botanical garden has a radius of 4 feet.
Then the area of the flower bed will be
Area = π r²
Area = π × 4²
Area = 16π
Area = 16 × 3.14
Area = 50.24 square feet.
More about the circle link is given below.
https://brainly.com/question/11833983
What is the distance in inches between the 8th fret and the 5th fret
Answer:
12 inchis
Step-by-step explanation:
which expression is equivalent to 60-3y-9
Answer:
Step-by-step explanation:
60 - 3y - 9
= 60 - 9 - 3y
= 51 - 3y.
Please answer this with an explanation
Answer:
35 feet
Step-by-step explanation:
when the flare is fired , time t = 0
substitute t = 0 into the equation
f(0) = - 10(0)² + 60(0) + 35 = 0 + 0 + 35 = 35
Answer:
the correct answer would be 35 feet
Step-by-step explanation:
hope this helps
John goes to a restaurant and has a bill of $32.57 He uses a 10% coupon on the cost of the meal. The taxis 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied. How much does he spend.
$37.52
I know it seems close, but the coupon doesn't do much when you repay a total of 18% before the coupon.
A researcher wants to study the math scores of high school students in the state of Florida.
Select all
the samples that are biased.
Send a voluntary on-line questionnaire to all Florida high school students.
Randomly select 2,500 high school students in the state of Florida.
Select all students in 20 schools, selected through random sampling.
Select all students in all Miami high schools.
Using sampling concepts, it is found that these following sample is biased.
Select all students in all Miami high schools.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:
Select all students in all Miami high schools.
More can be learned about sampling concepts at https://brainly.com/question/25122507
i do not know this answer
I don’t understand this subject at all if you wold answer that would be a big help
Answer:
d= 8.6 ft
Step-by-step explanation:
In similar triangles, the corresponding sides are in proportion.
[tex]\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}[/tex]
To find the value of x,
[tex]\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d[/tex]
d = 8.6 ft