The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D
Answer:
The coordinates of D are (2,-2)
Step-by-step explanation:
The coordinates of point D are (2,-2)
The coordinates of the parallelogram are given as:
E(-1,4), F(5,6) and G (8,0)
For the coordinates to represent a parallelogram, the following must be true
[tex]x_D - x_E = x_G - x_F[/tex]
[tex]y_D - y_E = y_G - y_F[/tex]
So, the equations become
[tex]x_D -(-1) =8-5[/tex] and
[tex]y_D -4 =0-6[/tex]
Solve for x and y in the above equations
[tex]x_D -(-1) =8-5[/tex]
[tex]x_D +1 = 3[/tex]
[tex]x_D = 3-1[/tex]
[tex]x_D = 2[/tex]
[tex]y_D -4 =0-6[/tex]
[tex]y_D - 4 = -6[/tex]
[tex]y_D = 4-6[/tex]
[tex]y_D =-2[/tex]
Hence, the coordinates of point D are (2,-2)
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On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
a 24 square feet
b 28 square feet
c 32 square feet
d 36 square feet
Answer:
36 square feet would be your answer
PLEASE HELP!!!
The expression 4(1.20)t represents the population of rabbits each year. If x% represents the growth rate for the population of the rabbits each year, what is the value of x?
The growth rate for the population of the rabbits each year is 20%
What is an exponential equation?An exponential equation is an expression that shows how numbers and variables using mathematical operators.
Exponential exponential is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given the expression [tex]4(1.20)^t[/tex] represents the population of rabbits each year. If x% represents the growth rate, hence:
b = 1.20
growth rate = 1.20 - 1 = 0.20
growth rate = 20%
The growth rate is 20%
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I need help please (brainllest)
Answer:
Plant A: y=x+4
Plant B: y=1/3x+6
Answer:
Plant A: 1x + 4 = y; Plant B: 1/3x + 6 = y
Step-by-step explanation:
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
I really need the answer QUICK please
Answer:
Answer is D
Step-by-step explanation:
(3,-7) and (1,-10) belong toD Variant
The required function is [tex]y=-\frac{3}{4}(x-3)^2-7[/tex] , so the correct option is D.
Important information:
Vertex = (3,-7)Other point = (1,-10)Quadratic function:The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex]
Where, [tex]a[/tex] is constant and [tex](h,k)[/tex] is vertex.
Substitute [tex]h=3,k=-7[/tex].
[tex]y=a(x-3)^2-7[/tex] ...(i)
Graph passes through the point (1, -10). Substitute [tex]x=1,y=-10[/tex] in (i).
[tex]-10=a(1-3)^2-7[/tex]
[tex]-10+7=4a[/tex]
[tex]-3=4a[/tex]
[tex]\dfrac{-3}{4}=a[/tex]
Substitute [tex]a=-\dfrac{3}{4}[/tex] in (i).
[tex]y=-\frac{3}{4}(x-3)^2-7[/tex]
Therefore, the correct option is D.
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HELP PLEASEE!!
Could I have the answers or step by step because I am stuck please tell me!! :)
Answer:
1)
[tex] \frac{19}{12} \: or \: 1\frac{7}{12} [/tex]
2)
[tex] \frac{5}{21} [/tex]
x-4(3-2x) =3(3x+4) is this many soultions no solutions
Rosa deposits $5000 in a savings account that gets compounded interest annually at a rate of 8%. If she leaves her money in the account for 2 years, how much will she have at the end of that time?
Answer:
$5318
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 2650 × 0.04 × 3 = 318
I = $ 318.00
The simple interest accumulated
on a principal of $ 2,650.00
at a rate of 4% per year
for 3 years is $ 318.00.
Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100
Answer:
s+45≥100
Step-by-step explanation:
"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.
please help 15 points
Answer:
1. Given
2. Corresponding Angles Theorem
3. ∠NPO ≅ ∠MQN (or something similar)
4. AA Similarity Theorem
Step-by-step explanation:
1. Line MQ || Line OP is the given statement.
2. ∠QNM on the left triangle corresponds to ∠PNO on the second triangle.
3. These two angles are cut by a transversal (Line MP), and thus are congruent.
4. ∠MQN and ∠NMQ are congruent to ∠NOP and ∠NPO respectively, so the triangles are similar.
4/10 + 1/2 please help-
Exact Form:
9 /10
Decimal Form:
0.9
Hope this helps :)
Answer:
4/10 + 1/2 would be 9/10 because 1/2 of 10 is 5 so 5/10 +4/10 would equal 9/10 hope that helps :)
Step-by-step explanation:
s=2πcx+3πc^2 solve for x
Answer:
x = (s - 3πc^2) / 2πc.
Step-by-step explanation:
s = 2πcx + 3πc^2
2πcx = s - 3πc^2
x = (s - 3πc^2) / 2πc.
20 divided by c write an algebraic expression for the word expression
Step-by-step explanation:
The algebraic expression is
20
----
c
or
20/c
Juan's mother gave him a recipe for trail mix.
3
4
cup cereal
2
3
cup almonds
1
3
cup raisins
1
2
cup peanuts
Order the ingredients used in the recipe from least to greatest.
Answer:
Cereal 3/4, Almonds 2/3, Raisins 1/3, Peanuts 1/2
Step-by-step explanation:
This is in The order from Least to Greatest and i hope this helps you i had to do a little thinking about it first. :)
Plz help !!!!!!!! Already
Answer:
15 and 105
Step-by-step explanation:
well this should be simple
if a small car averages 29 miles MORE, and it averages 44, the. just take 44 - 29.. which is 15.
Well if he has to go 240 miles, and he’s drove 135, just take 240 - 135 = y
240 - 135 = 105
y = 105
Chase needs 3 quarts of pineapple juice for the punch he is making. How many pints does he need to buy?
Answer:
6 pints
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The student council at Eleanor Roosevelt High School is taking a survey of student opinions on this year's homecoming theme. To decide who to survey, the council creates a master alphabetized list of names from every student in the school, then selects every 20th student from the list. Will the results of this survey be valid? Why or why not?
yes, because a random sample is taken from all of the student body
yes, because the survey will include all of the seniors
no, because the survey will include freshman
no, because the survey will not include members of the faculty
Answer:
no, because the survey will not include members of the faculty
(14 plus 42)divided by 7plus4 to the 2power
Answer:
Given info in numersical form:
(14+42)÷(7+4)²
= 56÷11²
= 56÷(11×11)
= 56÷121
= 0.46
what is 5/18 divided by 2/6
Answer:
0.02314814814 ooooorrrrr...... as a fraction..... 5/6
Step-by-step explanation:
I hope this helps!!!!!!!! PLEASE MARK ME BRANILIEST!!!!
Answer:
5/6 ( I think )
Step-by-step explanation:
Way 1. All you have to do is make the fractions into decimals, then divide, and finally change you final decimal back into a fraction!
Way 2. Change the division into multiplication ( to do that flip the second fraction)--> 5/18 x 6/2 then multiply!
If I'm wrong just use the info I gave you, and try it yourself!
I hope this helps, and have a great day!
P.S. Way 2 is easier than Way 1!
Which of the following edges is parallel to AB?
DT
BC
QR
BR
Answer:
QR
Step-by-step explanation:
Other than all opposite pairs of sides are parallel, all other segments intersect at a point.
Answer:
QR
Step-by-step explanation:
QR is parallel to AB because it is going in the same direction as QR is, and the other answer choices are incorrect.
solve the equation for all values of x by completing the square
[tex] {x}^{2} - 35 = - 2x[/tex]
Answer:
x=5 x= -7
Step-by-step explanation:
Helpp mee (10 points)
what is 25.15/179.30 simplified as a fraction please help i suck at math
ill mark you brainliest
Answer:
503
------
3586
Step-by-step explanation:
that's as small as I can get it
Must show work!
Write each percent as a fraction and as a decimal?
37%
Answer:
37% = 0.37 = 37/100
Step-by-step explanation:
hope this helps :)
1) obeserve os numeros e diga:
-15, +6, -1, 0, +54, +12, -93, -8, +23, -72, +72
a) quais os numeros inteiros negativos?
b)quais os numeros inteiros postivos?
A total of 110 gallons of water can follow through Hose B in minutes. Which hose has a faster water ow rate, in gallons per minute, and what is that rate?
Answer:
Hose B
Step-by-step explanation:
Charles needs to fill a large fish tank with water using a hose. he has two hoses from which to choose. Water flows through each hose at a constant rate. The graph below shows the amount of water, in gallons , that flows through holes A based on the number of minutes used. A total of 110 gallons of water can flow through Hose B in 10 minutes. Which hose has a faster water rate, in gallons per minute, and what is that rate?
Solution:
The equation of a linear function is:
y = mx + b
where m is the rate of change and b is the initial value of y.
The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Let y represent the amount of water in gallons and let x represent the time in minutes.
For hose A, we can see that the graph passes through the point (0, 0) and (2, 12). Hence:
[tex]y-0=\frac{12-0}{2-0}(x-0) \\\\y=6x[/tex]
Therefore hose A has a flow rate of 6 gallons per minute.
110 gallons of water flow through hose B in 10 minutes. Therefore:
Flow rate of hose B = 110 gallons / 10 minutes = 11 gallons per minute
Therefore hose B has a higher flow rate
Which function is best represented by this graph?
Answer:
J
Step-by-step explanation:
The y-intercept is 3, and the slope is -1/2
Answer: G
the formula is y= mx+c
y -intercept (c) is what number it passes on the y-axis which is 3
to find gradient you need to form a triangle of any choice using the line so I did 4 across and 2 down , you put that into a fraction 2/4 which is 2 and I've done it upside down so it will be -2
plzzz help me im trustin yall
Answer:
B
Step-by-step explanation:
(8x + 8)(x + 3) = [tex]8x^{2} +24x+8x+24[/tex] = [tex]8x^{2} +32x+24[/tex].
Factor this polynomial.
-3x² - 6x-2
Answer:
Doesn't factor
Step-by-step explanation:
We have a polynomial and are asked to factor it.
A rule I like to follow when factoring polynomials is what two numbers multiply to equal c (in this case -2) and add up to b (in this case -6x).
Since no two numbers are eligible to do this, therefore this polynomial is unfactorable.
Answer: -7 x2 -3x2
Step-by-step explanation:
Michael buys some items at a grocery store.
4 boxes of cereal at $3.45 per box
1
-1 pounds of oranges at $3.98 per pound
2 gallons of fruit juice at $4.35 per gallon