Answer:
[tex]E =[/tex] [tex](-3,3)[/tex]
Step-by-step explanation:
The question has missing parameters.
The (missing) given coordinates are:
[tex]D(x_1,y_1) = (-2,-4)[/tex]
[tex]F(x_3,y_3) = (0,7)[/tex]
[tex]G(x_3,y_4) = (1,0)[/tex]
Required
Find the coordinates of [tex]E(x_2,y_2)[/tex]
To do this, we make use of mid-point formula which is:
[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]
This gives:
[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
Multiply through by 2
[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]
[tex](-2,3) = (x_2+1,y_2+0)[/tex]
[tex](-2,3) = (x_2+1,y_2)[/tex]
By comparison:
[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]
So, we have:
[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]
[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]
This gives:
[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]
Hence, the 4th coordinate is: [tex](-3,3)[/tex]
Triangles please and thanks
Answer:
60 degrees
Step-by-step explanation:
All sides are equal so it is an equilateral triangle.
Equilateral triangles have 60 degree corners.
help fast please!!!!
Answer:
OK this is easy the answer is r=2.4
Step-by-step explanation:
so what you would do is simply add 3.1 and 1.7to get 4.8
then you would divide 4.8 by 2 and get r=2.4
Simplify the expression.
4X2 + 10x -6 / 2x-1
a. -x+5
b.2(x+3)
c.x+3
d.2x-6
Answer:
4x2+7x−1
Step-by-step explanation:
In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon
Answer:
18 sides.
Step-by-step explanation:
The interior and exterior angles sum to 180 so:
I + E = 180
also I - E = 140 (given)
So, adding to eliminate E:
2I = 320
I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.
Since the sum of all exterior angles in a polygon = 360 degrees
- the number of sides = 360 / 20 = 18.
Your research shows that you typically receive a 24% return response from the guest satisfaction surveys you send out. How many guest satisfactions surveys will you need to send out to make certain you receive at least 300 surveys back?
Answer:
1250
Step-by-step explanation:
The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.
Calculation of the number of guest satisfaction:Since the return is received i.e. 24%
And, there are the minimum of 300 surveys
So, based on this, the no of guest satisfaction should be
[tex]= 300 \div 0.24[/tex]
= 1,750
hence, The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.
Learn more about survey here: https://brainly.com/question/22497309
Priya creates a scatter plot showing the relationship between the number of steps she takes and her heart rate. The correlation coefficient of the line of best fit is 0.88.
1. Are they correlated? Explain your reasoning.
2. Does either of the variables cause the other to change? Explain your reasoning.
Answer:
Positive correlation exists ;
Number of Steps taken will cause heart rate to increase.
Step-by-step explanation:
Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.
Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.
Correlation between number of steps taken and heart rate.
Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).
1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.
2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.
What is Correlation Coefficient?A correlation coefficient shows how corelated two variables are.Correlation coefficient ranges from -1 to 1.The closer the correlation coefficient is to -1 or 1, the stronger the correlation between two variables.1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.
2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.
Learn more about correlation coefficient on:
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The RADIUS of the barrel is 9.5.
What is the circumference of the barrel?
Answer:
19
Step-by-step explanation:
D=2r
D = 2(9.5)
= 19
50 POINTS HELP PLS ASAP
Answer:
G
Step-by-step explanation:
Estimate 73% of 120
Thanks if you help!
Answer:
73/100 (120)
answer:-87.6
Answer:
87.6
Step-by-step explanation:
[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]
73*120/100= 87.6
Please help me !!!!!!!
Answer:
C. Both (1,11) and (-1,-5)
Step-by-step explanation:
Ok so,
let's try to plug in the first ordered pair into the equation. It should look like this:
11 = 8+3
11=11 CORRECT
now let's try to plug in the second ordered pair. it should look like this:
-5 = -8+3
-5 = -5 CORRECT
hope this helps. have a good day!!
B
27 m
24 m
18 m
List angles largest to smallest
Answer:27,24,18
Step-by-step explanation:
sorry if it’s wrong but I think so
The two large squares below each represent 1 unit
0.26 + 0.6
Answer:
0.26+0.6=0.86
Step-by-step explanation:
A b and c are positive integers A:B = 3:8 and B:C = is 6:11 What is the smallest possible value of a + b + c
What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
Answer:
A.21
Step-by-step explanation:
We can use trigonometry to slove for sides in this triangle...
Using the 60 degree angle...we can solve for x.
We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.
And since we're using tangent, we have to use opposite/adjacent
We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,
and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should
get an answer of 21
I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!
x/4 < −1.5
Answer:
x < -6
Step-by-step explanation:
[tex]\frac{x}{4} < -1.5[/tex]
to isolate x, multiply both sides by 4
[tex](4) \frac{x}{4} < -1.5 (4)[/tex]
which gives you:
x < -6
Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
Answer:
The equation for this slope will be y=7x-5
Step-by-step explanation:
Hope this helped
Select the equivalent expression.
43
5-2
5
=?
Choose 1 answer:
415.510
415
510
Do 5 problems OOOO
Answer:
45448
Step-by-step explanation:
Mario travels 180 miles in 2.5 hours . If Mario travels at the same rate, how far can Mario travel in 1 hour ?
Answer:
i have no idea.
Step-by-step explanation:
thug life.
Please help!! Pleaseeee
Answer:
pretty sure its the first and 3rd one sorry if im wrong
Step-by-step explanation:
5x + 1 = 56
Solving 2 step equations?
Answer:
the x would equal to 11 ,so x=11
From a group of 280 children, 14 made the swim team. What percent of the children is this?
PLEASE HELP, ILL GIVE BRAINLIEST
Answer:
5%
Step-by-step explanation:
14/280 is 5%. (Brainliest pls?)
Answer: I think it is 39.2 percent
Step-by-step explanation:
Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)
Answer:
D. (x - 9)(x+5)
Step-by-step explanation:
[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.
First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.
So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.
B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B
It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.
Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.
The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.
To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.
We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.
Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.
This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.
To learn more about the quadratic equation;
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Anna ran 10 meters, Bill ran 15 meters, and Chloe ran 20 meters. How many centimeters did the three people run?
Answer:
Anna: 1000cm
Bill: 1500
Chloe: 2000
convert m to cm
Answer:
4500 cm
Step-by-step explanation:
1 meter = 100 cm
10 meters = 1000 cm
15 meters = 1500 cm
20 meters = 2000 cm
1000 + 1500 + 2000 = 4500 cm
Write the unit rate for $17 for 5 cards
Answer:
$3.40 per card
Step-by-step explanation:
To find the unit rate, divide the total cost ($17) by the number of cards (5 cards):
$17
--------------- = $3.40 per card
5 cards
Answer: $3.4
Step-by-step explanation: If 5 cards cost $17
Divide 17 by 5 : 17/5
Your result will be 3.4
Meaning 1 card cost $3.4
Find the value of 71° + 72° + 73° + 74° + 75º.
Quick answer
Cost price = £40
Selling price = £48
Calculate the percentage profit
Elisa puts $1,000 into each of 2 bank accounts.
Account A: 3% interest rate, compounded annually, which is
growth
Account B: $40 bonus added to the account each year, which is
growth
Answer:
exponential
linear
$1092.73
$1120
account b
account a
Step-by-step explanation:
on the test now.
Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?
Answer:
They are perpendicular to each other.
Step-by-step explanation:
It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.
Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.
Answer: C they are perpendicular to each other
Step-by-step explanation:
I took the test and got C
Find the product of (x − 3)2.
x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9
Answer:
The answer is number 3
Step-by-step explanation:
[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]
Answer:
answer- 3
Step-by-step explanation:
9(x−3)
2
=x
2
−6x+9
PLZZ HALPMMELOL PLZZ it’s due 20 min
Answer: They ate 5/8 of the salad
Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.
Step-by-step explanation:
they ate 5/8 salad
3/8+ 2/8 = 5/8
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful.