Answer:
The correct option is;
D(4, 4)
Step-by-step explanation:
The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB
The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, for, the segment AB, we have;
m = (7 - 3)/(8 - 2) = 4/6 = 2/3
m = 2/3
Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2
The equation of the segment CD in point and slope form is therefore;
y - 1 = -3/2×(x - 6)
y - 1 = -3·x/2 + 9
The standard form of the equation of the segment CD is therefore;
y = -3·x/2 + 9 + 1 = -3·x/2 + 10
y = -3·x/2 + 10
The point that satisfies the above equation is the point (4, 4) because;
4 = -3 × 4/2 + 10
The correct option is therefore, D(4, 4).
Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?
Fill in the blanks with the correct values.
Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?
This question can be solved by using proportions. The question has already given a proportion you need to fill in, which looks like this:
[tex]\displaystyle \frac{A}{B} =\frac{x}{1000}[/tex]
As you can see, the denominators are B and 1000, which represents the number of words. That means the number of words will go on the bottom, which leaves you with the number of minutes as the numerator.
Donald can type 240 words in 6 minutes. The number of words, 240, is the denominator, and the number of minutes, 6, is the numerator.
Substitute A and B with these values:
[tex]\displaystyle \frac{A}{B} =\frac{x}{1000} \rightarrow \frac{6}{240} =\frac{x}{1000}[/tex]
Now you need to cross multiply.
[tex]1000 \times 6=240 \times x[/tex]
Simplify:
[tex]6000=240x[/tex]
Lastly, you need to divide both sides by 240 to find the value of x alone. This is because 240 is being multiplied by x, and in order to leave x alone, you must do the opposite of it, which is dividing.
[tex]\displaystyle \frac{6000}{240} =\frac{240x}{240}[/tex]
[tex]\displaystyle x=25[/tex]
That means Donald can type 1000 words in 25 minutes. A is also equal to 6, and b is equal to 240.
__________________________________________________________
[tex]\displaystyle {\bf\frac{6}{240} =\frac{x}{1000}[/tex]
Solving this proportion indicates Donald could type his essay in 25 minutes.
__________________________________________________________
Is it positive.,negative or no association
Answer:
positive
Step-by-step explanation:
it is going upwards. thats how you know
plz mark me brainliest, i need it to level up! just one more brainliest (itll help alot)
HAVE A GOOD DAY!!!
:D
For a recipe Peter uses 2 cups of sugar for every 3 cups of flour.wich table shows equivalent ratios for this recipe?
Answer:
4 to 6
Step-by-step explanation:
if you do 2 times 2 which is 4 then you do 3 times which is 6 then you get your answer
If included in the table, which ordered pair, (-4,1) or (1,-4) would result in a relation that is no longer a function? Explain your answer.
(Pls hellp it's my last question)
Answer:(-4,1)
Step-by-step explanation:x values cannot be the same
Brainliest to first!! Pls help!! :)
Solve the equations by substitution method: A) x+y=3, 2x+5y=12.
Answer:
x = 1, y = 2
Step-by-step explanation:
Original equations:
[tex]x+y=3\\2x+5y=12[/tex]
Substitute y and solve for x:
[tex]y=3-x\\2x+5y=12[/tex]
[tex]2x+5(3-x)=12[/tex]
[tex]2x+15-5x=12[/tex]
[tex]-3x=-3[/tex]
[tex]x=1[/tex]
Plug in x to solve for y:
[tex]1+y=3[/tex]
[tex]y=2[/tex]
x = 1, y = 2
Note: You can also substitute x and solve for y, then plug in y to solve for x. I did not do that here.
Answer:
x+y=3
x=3-y equation 1
2x+5y=12
2(3-y)+5y=12
6-2y+5y=12
6+3y=12
3y=12-6
y=6÷3
y=2 equation 2
again ,
putting value of equation 2 in equation 1
x=3-y
x=3-2
x=1
can someone please help? what’s the measurement of x?
a gym is offeringa deal to new members. Customers can sign up by paying a registration fee of $200 and a monthly fee of $39. How much will this membership cost a member by the end of one year?
Answer:
The answer is $668.00
Step-by-step explanation:
Just add 200 to how much you will pay over time. So first multiply 39 by 12 (12 months in a year, 39 per month,) to find out how much you will pay by the end of the year then add 200 to that.
Which statement about 3/5+7/10 is true?
A. The sum is a mixed number
B. The sum is a whole number
C. The least common denominator is 5
D. The least common denominator is 15
The true statement about 3/5+7/10 is (a) the sum is a mixed number
How to determine the true statement?The expression is given as:
3/5 + 7/10
Take the LCM and add both numbers
3/5 + 7/10 = (6 + 7)/10
Evaluate the sum
3/5 + 7/10 = 13/10
Simplify
3/5 + 7/10 = 1 3/10
The fraction 1 3/10 is a mixed number
Hence, the true statement about 3/5+7/10 is (a) the sum is a mixed number
Read more about fractions at:
https://brainly.com/question/11562149
#SPJ1
What is the volume of the following sphere? Round your answer to nearest whole number. 10 cm
Answer:
4188.79 cm^3
Step-by-step explanation:
Use formula for volume of sphere from radius.
Michelle and her friends wondered who had the most pop albums in their music collection. She recorded the information below: Music Collection Survey Name Number of Pop Albums Total Number of Albums in the collection Michelle 33 60 Sasha 36 78 Kat 40 89 Monica 24 59 Based on the survey, which friend had the greatest percentage of pop albums?
Answer:
Michelle
Step-by-step explanation:
Given the data:
S Name No of Pop Albums Total No of Albums Michelle 33 60
Sasha 36 78
Kat 40 89
Monica 24 59
Percentage of pop Albums:
(Number of pop album / total number of albums) * 100%
Michelle :
(33 /60) * 100% = 55%
Shasha:
(36 /78) * 100% = 46.15%
Kat:
(40 / 89) * 100% = 44.94%
Monica :
(24 / 59) * 100% = 40.67%
Hence, Michelle has the greatest percentage of pop Albums
i need help with my math>
Answer:D
Step-by-step explanation: You can multiply the first equation by 2, and then add two equations together, find x, then plug in and find y and voila! its D
:D
Visualizer
Write in point-slope form
(5,3) - 을
0
m-
(4,1) and (2-3)
Solve the above question
g(20)=4x-5
what is the x and y intercept ??
Answer:
The x-interceptis1 and y-intercept is-4
Answer:
x intercept: 1
y intercept: -4
Step-by-step explanation:
If you look at where the line hits the x axis, it hits it at 1. And if you look at where the line hits the y axis it hits it at -4.
find the x- and y-intercepts of the line with equation 8x - 4y = -64
Answer:
x-intercept:8
y-intercept:16
Step-by-step explanation:
This is the equation of a straight line. When the line crosses the x-axis that is the x- intercept, the corresponding y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.
8x-(4×0)=-64
-8x=-64
x=8 <= the x-intercept.
Similarly, when the line crosses the y-axis the corresponding x- coordinate will be zero. Let x = 0 and solve for y.
(8×0)-4y=-64
-4y=-64
y=16 <= the y-intercept .
Answer:
x = 1/2
y = -8
Step-by-step explanation:
Let's solve for x.
8x−4y=−64
Step 1: Add 4y to both sides.
8x−4y+4y=−64+4y
8x=4y−64
Step 2: Divide both sides by 8.
8x/8 = 4y−64 / 8
x= 1/2 y−8
I will give brainliest!!!!
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
A) 12 + 24R ≤ 100
B) 12 + 24R ≥ 100
C) 24 + 12R ≤ 100
D) 24 + 12R ≥ 100
2) What is the least amount of additional money Sofia can spend to get the sushi they need?
dollars
Answer:
The answer is given below <3
Step-by-step explanation:
The options are not given but I would list the inequalities needed to solve this problem.
As a result of increase in people to attend meeting, the number of sushi needed to be ordered is 100 pieces. Sofia has already ordered 24 pieces. If R is the number of additional rolls that Sofia orders.
The number of additional rolls that Sofia orders (R) must be greater than or equal to the difference between the number of Sushi needed to be ordered and the number of Sushi that has already being ordered. It is given by the inequality:
R ≥ 100 - 24
R ≥ 76
If each roll contains 12 pieces, the number of rolls needed (n) is given by:
n ≥ R/12
n ≥ 76/12
n ≥ 6.33
n ≥ 7
If each roll cost $8, the money needed to buy the sushi is given as:
Cost ≥ 8(7) ≥ $56
Marco bought 5 movies for $53. 10. Vance bought 3 movies for $31. 71. Who got the better deal?
Answer: Vance.
Step-by-step explanation: Vance got the better deal. this is because Marco bought 5 movies, and paid $53.10. Vance paid $31.71, and saved $2.50, because 53.10 rounds to 50, and 31.71 rounds to 30, and Vance added $1.71, and Marco added $3.10, making Vance get the better deal.
Plz help!!!!!!!!! Due soon!
Answer:
520 Students
Step-by-step explanation:
If you multipy 650 by .8 you will get 520 and that is the percentage of students that is going.
Answer:
520 students will attend the field trip.
Step-by-step explanation:
The percentage of a number can be found by multiplying the percentage by the amount.
In this case, 650 times 80% is 520.
We can check our answer by dividing 520 by 650 and converting the decimal into a percentage.
Please help meh parents are yelling at me :(
Jasper is using the following data samples to make a claim about the house values in his neighborhood:
House Value
A $150,000
B $175,000
C $200,000
D $167,000
E $2,500,000
Based on the data, should Jasper use the mean or the median to make an inference about the house values in his neighborhood? (10 points)
Group of answer choices
He should use the mean because it is in the center of the data.
He should use the median because it is in the center of the data.
He should use the median because there is an outlier that affects the mean.
He should use the mean because there are no outliers that affect the mean.
Answer:
d:$167,00
Step-by-step explanation:
The morning Shift at the point grocery store is 6.5 hours long. If the cashiers make $10.25 Per hour, how much do they make each shift?
Answer:
$66.62
Step-by-step explanation:
10.25 x 6.5 = 66.625
What is the relationship between the ratios?
4872and 69
What is the equation of this line?
y=3x−2
y=13x−2
y=2x−3
y=12x−3
Answer is A. y=3x−2 (i took the quiz on k12 and this was the correct answer so it may be different depending on your school)
Answer:
y = 2x - 3( Proof is down below!! )
I hope this helped!!
-GXLDIE <3
8x-4+6x+15
I’ll give brainliest
if you answer!
Answer:
14X + 11
Step-by-step explanation:
Select the correct answer.
What is the greatest common factor of the numerator of 9x^3 - 3x^2 + 12x / 3x
A. 3x2
B. 12x
C. 3x
D. 9x3
Answer:
D is right
Step-by-step explanation:
What is the equation of the line that passes through the point (6,-1) and has a slope of 1?
Answer:y
=
4
3
x
−
9
Explanation:
Given -
x
1
=
6
y
1
=
−
1
Slope
m
=
4
3
Given the slope and a point, the formula for the straight line equation is
(
y
−
y
1
)
=
m
(
x
−
x
1
)
y
−
(
−
1
)
=
4
3
(
x
−
6
)
y
+
1
=
4
3
x
−
6
.
4
3
y
+
1
=
4
3
x
−
8
y
=
4
3
x
−
8
−
1
y
=
4
3
x
−
9
eighteen more than five times a number x
Answer:
18 + 5x
Step-by-step explanation:
more than means adding
If f(x)=2x - 7 and g(x)=x^2-1, find f(g(-2)) =
Answer:
f(g(-2))=-122
Step-by-step explanation:
You need to put the f(x) ewuation into the g equation, and then solve.
Julio has 200 ft of fencing to put around a field that has an area of 2500 sq ft. Write an equation that can be used to find the length of
the field?
Answer:
L = 2500/W
Step-by-step explanation:
Let the fields m be rectangular in nature
Area = LW
Perimeter = 2(L+W)
L is the length
W is the width
Given
Perimeter = 200ft
Area = 2500ft²
Substitute into the formula
200 = 2L+2W
100 = L+W ...... 1
2500 = LW.... 2
From 1; L = 100-W
Substitute into 2
2500 = (100-W)W
100W - W² = 2500
W²-100W+2500 = 0
W²-50W-50W+2500 = 0
W(W-50)-50(W-50) = 0
W - 50 = 0
W =50
Substitute w = 50 into LW = 2500
L = 2500/50
L = 50
Hence the equation that can be used to find the length of the field is
L = 2500/W
the lines are parallel, if one line has the slope of -1, what is the slope of the other line
Answer:
-1
Step-by-step explanation:
parallel lines always have the same slope