Prove that DE is parallel to BC.
Please help, will award brainliest.
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
To find D and E use the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then
D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and
let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then
E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )
Use the slope formula to find slopes of DE and BC
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then
[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then
[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Since the slopes are equal then DE and BC are parallel lines
how to solve 2x^2-11x+12=0
Answer:
x= 3/2 and 4
Step-by-step explanation:
Use this method to solve;
First get the multiples of 12: -1, -12 -2, -6 -3, -4 (we use negatives, because we need a positive 12, and a negative 11).
Next, set it up like this: (2x - ) (x- ).
Then plug in (2x-3) and (x -4), and use rainbow to double check.
Then take 2x-3=0 and x -4 =0 to get x.
2x-3=0, add 3 to both sides, leaving you with 2x=3, then divide by 2 to get x alone which leaves x= 3/2, could use 1.5 or 1 (1/2) too.
Then do the same with x-4=0, add 4 to both sides leaving x= 4.
Answers are x= 3/2 and 4.
PLEASEEEEE HELP! Drag the numbers to the correct locations in the equation. Each number can be used more than once, but not all numbers will be used. The average commute time, in minutes, in relation to the population, in millions, of 10 major cities is shown in the table. What is the square root equation that best models this set of data?
9514 1404 393
Answer:
[tex]y=10.9\sqrt{x-0.5}+23.7[/tex]
Step-by-step explanation:
A graphing calculator or spreadsheet can help you do the square root regression. See the attachment for the result.
[tex]y=10.9\sqrt{x-0.5}+23.7[/tex]
Answer:
see image
Step-by-step explanation:
Plato/Edmentum
Find the product
-8.4 x–7.6
Answer:
63.84
Step-by-step explanation:
Answer:
63.84
Step-by-step explanation:
Multiply both numbers without the decimal point then move the decimal point 2 places to the left.
can someone help me with this?
Answer:
can u help me with sum I'll help u
Line q has a slope of 4 and line r has a slope of –1/4.
They are:
Select one:
a. parallel
b. the same
c. perpendicular
d. supplementary
e. none of the above
Answer: c) perpendicular
Perpendicular slopes always multiply to -1. This is assuming neither line is vertical.
The equation of the graphed line is x+2y=5. What is the x-intercept of the graph?
Answer:the x intercept is 5
Step-by-step explanation:
Karen picked apples at the Carter Apple Orchard this weekend. She made a graph to show how many apples she picked.
Karen ate 5 Fiji apples and dropped 4 Gala apples.
After Karen ate and dropped those apples, which two types have the same number of apples?
Choose 2 answers:
A) pink lady
B) rome
C) fiji
D) gala
Answer:
D
Step-by-step explanation:
I hope this help
A biologist uses a rectangular tray that has a width of 1.5 feet and a height of 2 feet. What is the area of the tray in square feet?
Answer: 3ft squared
Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.
please help meeeeeeeeee
Answer:
FRACTION DECIMAL PERCENT
3/100 0.03 3%
3/2 1.5 150%
13/20 0.65 65%
2/3 0.6667 66.67%
help i’m timed pllzzzzz
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
The standard form of trinomial is given as:
[tex]ax^2+bx+c[/tex]
And the factored form is:
[tex](px+r)(qx+s)[/tex]
In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.
So,
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Now comparing it with the standard form of trinomial
We will compare the co-efficients of x^2, x and the constant
By comparing, we get
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
what is 4/7 in the lowest terms
Answer:
4/7 is already in lowest terms
1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
Answer:
Let the number of popcorn be x and the number of drinks be y, then according to the question we have the following equation
.................> linear equation
To sketch the graph first we need to find two points on it.
EXAMPLE
put x=0, we get y=10
put y=0, we get x=6
Thus, we have points (0,10) and (6,0), now sketch a line through it .
Thus in the graph x - axis represents the number of popcorn and y axis represents the number of drinks.
The slope of the graph is
Step-by-step explanation:
Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and have no flowers left over, how many daisies will be in each flower arrangement?
Answer:
3 daisies.
Step-by-step explanation:
Given that,
Samantha has 32 roses and 96 daisies.
She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.
For this, we need to first find the HCF of 32 and 96.
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
HCF = 32
No of daisies = 96/32 = 3
Hence, there are 3 daisies in each flower arrangement.
Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a? -9 -3 3 9
Answer:
9
Step-by-step explanation:
because thats the answer i just did the quiz
have a good day
The solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
How to find the solution to a quadratic equation?Given the quadratic equation
(x+2)^2=a
If one of the solution is 1, then x = 1
substitute
(1 + 2)^2 = a
3^2 = a
a = 9
Hence the solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
Learn more on quadratic equation here:https://brainly.com/question/1214333
Help ASAP if you want brainliest
Answer:
A. 1. mph
C. 3. hpm
Step-by-step explanation:
Anthropologists and archaeologists study the cultures, languages, archaeological remains, and physical characteristics of people across the world and through time. Typically, they conduct research to answer questions and test hypotheses about human behavior and culture.
Answer:
ummm there's no question dude but it's good to know that because i never knew that
Step-by-step explanation:
...
Which expression shows the product of 1.5×106 and 12,000?
note the the six is the power for 10
Answer:
Step-by-step explanation:
3/)038\=8262
help will mark brainliest if correct :)
Answer:
Step-by-step explanation:
x= 0.079
y=-0.169
Answer: x= 0.079
y=-0.169
Step-by-step explanation:
Use substitution to solve each system of equations.
Explain step by step and I'll mark you Brainliest.
16x - 4y = 18
x = -6y - 7
When you use the substitution method you need to plug a value into the corresponding variable of another equation.
In this occasion,"-6y-7" can be plugged into the x of "16x-4y=18" because it represents the x.
16(-6y-7)-4y=18
Distribute 16 into the parentheses
-96y-112-4y=18
Combine like terms
-96y-4y-112+112=18+112
-100y=130
Divide by -100 to get y by itself
y=-1.3 or -13/10
Now plug the y into any equation...I chose "x = -6y - 7" but it doesn't matter
x= -6(-1.3)-7
x=-14.8 or 4/5
Answer:
Step-by-step explanation:
1. 16x-4y=18
4x-9/2:2x+9/8
4x-9/2:m=4
y=4x-9/2
2. x=-6y-7
1/6x-7/6:-6x-7
I don’t understand
2(2a-7b) do we put it as 4a-18b or 4a-18
Answer:
2(2a-7b) = 4a-14b
Step-by-step explanation:
You have to multiply both the numbers inside brackets (2a,7b) with 2 .....
Which expression is represented by the diagram?
10 negative tiles. 4 are crossed out.
Answer:
6 tiles
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I took the test ;)
b) The circumference of a circular field is 220 m.
(i) Find its diameter and radius.
(ii) Find the cost of paving stones all over it at Rs 25 per sq. m.
Answer:
sorry I don't know 2...
But first I can tell....
Step-by-step explanation:
circumference = 220m
To Find :- It's diameter and it's radius...
Solution:-
circumference of circle = 2*pi*r
pi=22/7
220 = 2*22/7*r
220 = 44r/7
220*7 = 44r
1540 = 44r
r = 1540/44
r = 35m....
d = 35*2
d = 70m...
Hence, Diameter of circular field is 70m and radius is 35m
What is the percent of change from 24 to 30?
A.
20% decrease
B.
25% decrease
C.
20% increase
D.
25% increase
Answer:
D
Step-by-step explanation:
24 X
---- = ---- than cross multiply and solve for X
30 100
Answer:
I am not sure I this one but The answer is efither B or D
Try going with the answer D if its not the answer its my fault. I am sorry if You get this wrong.
Divide 2/8 by 9/18. Input your answer as a reduced fraction.
Answer:
the answer in simplest form is 1/2
Step-by-step explanation:
you would do keep flip switch so
2/8 would stay the same but 9/18 would be 18/9 then multiply 2/8 by 18/9 then put in simplest form by dividing
After divide, the value of fraction is 1/2.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Divide 2/8 by 9/18.
Now, We can divide the numbers as;
⇒ Divide 2/8 by 9/18
⇒ 2/8 ÷ 9/18
⇒ 2/8 × 18/9
⇒ 36/72
⇒ 1/2
Learn more about the divide visit:
https://brainly.com/question/28119824
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if an area of a rectangle is expressed as 3x^4-2x^2-10x-20, and the width of the same rectangle can be expressed as x-2, what is the length of this rectangle?
Answer:
Length=3x^3+6x^2+10x+10
Step-by-step explanation:
given that the area A of a rectangle is A=L*W, we can find length L=A/W
find x
76° 6x-9 47°
This is not formatted correctly.
76 degrees and 47 degrees?
Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line is `1.5.` Do you agree with either of them? Explain.
Answer:
I agree with both of them because they are both correct
Step-by-step explanation:
See attachment for complete question;
Slope (m) is calculated using the following formula:
[tex]m = \frac{Rise}{Run}[/tex]
Where
[tex]Rise = Vertical\ Distance[/tex]
[tex]Run = Horizontal\ Distance[/tex]
From the attachment, we have the following:
Triangle A
[tex]Rise = 6\ units[/tex]
[tex]Run = 4\ units[/tex]
So:
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{6}{4}[/tex]
In this case, Mai is correct:
Triangle B
[tex]Rise = 1.5\ units[/tex]
[tex]Run = 1\ units[/tex]
So:
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{1.5}{1}[/tex]
[tex]m = 1.5[/tex]
In this case, Elena is also correct:
Is the graph linear or non-linear?
Answer:
Linear.
Step-by-step explanation:
A easy way to remember is Linear has the word line in it and Non-linear has the words no line in it. To solve the table, you can graph the points, and if you get a straight line it's linear. If you don't want to graph the points, then you need to make sure there is a pattern. The x's go up by 3 every-time and the y's go up by 5 every time. This table is linear. Hope this helps!
The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides
Answer:
8:4
Step-by-step explanation:
Given that,
The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16
We need to find the ratio of their sides. For similar polygons, the ratio of the area is proportional to the square of the ratio of their corresponding sides.
Let sides are x₁ and x₂. So,
[tex]\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}[/tex]
So, the required ratio is 8:4.