Answer:
[tex]x + 2y= 2[/tex]
Step-by-step explanation:
Given
Points:
[tex]F = (4,9)[/tex]
[tex]G = (1,3)[/tex]
Required
Determine the equation of line that is perpendicular to the given points and that pass through [tex](2,0)[/tex]
First, we need to determine the slope, m of FG
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex]F = (4,9)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]G = (1,3)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]m = \frac{3 - 9}{1 - 4}[/tex]
[tex]m = \frac{- 6}{- 3}[/tex]
[tex]m =2[/tex]
The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:
[tex]m_2 = -\frac{1}{m}[/tex]
[tex]m_2 = -\frac{1}{2}[/tex]
The equation of the line is then calculated as:
[tex]y - y_1 = m_2(x - x_1)[/tex]
Where
[tex]m_2 = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (2,0)[/tex]
[tex]y - 0 = -\frac{1}{2}(x - 2)[/tex]
[tex]y = -\frac{1}{2}(x - 2)[/tex]
[tex]y = -\frac{1}{2}x + 1[/tex]
Multiply through by 2
[tex]2y = -x + 2[/tex]
Add x to both sides
[tex]x + 2y= -x +x+ 2[/tex]
[tex]x + 2y= 2[/tex]
Hence, the line of the equation is [tex]x + 2y= 2[/tex]
Answer:
X+2y=2
Step-by-step explanation:
a3-9a2b + ab - 9b2
Can someone help please
Answer:
(a−9b)(a2+b)
Step-by-step explanation:
What is the Y-Intercept of the graph?
A. (0,3)
B. (0,-1)
C. (0,-3)
D. (3,0)
NEED HELP ASAP!
The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?
Answer: x=68, y=37
Step-by-step explanation:
The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.
2y-6+y=105
3y-6=105
3y=111
y=37
Then you would plug in the y to one of the equations. I will do the second one but you can do either one.
x=2y-6
x=2*37-6
x=74-6
x=68
8 is 16 times what number
Answer:
1/2
Step-by-step explanation:
If you need an explanation just comment
Answer:
2 and you are in high school learning that?
Step-by-step explanation:
How do I do this plzzzz help
Answer:
usually u add up or subtract everything and u get ur x y z answer i might be wrong
Step-by-step explanation:
which table does not show a relation that is a function
Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?
Plz help!!!
Sarah and Jake collect bottle caps. Sarah started with 25 bottle caps
and gave away X number of them. Jake started with 40 bottle caps and gave
away 2 times as many as Sarah gave away. If they now how the same number of
bottle caps, how many bottle caps do they now have?
Answer:
10
Step-by-step explanation:
use the variable x and replace it with a 15 and use the same equation, it is the only number that fits
please help fast will mark brainliest
Answer:
X=7
Step-by-step explanation:
Hope this helps, have a good day
Solve -103 = 6 x + 17
Jonas runs A store that sells guinea pigs he wants to ensure that he has more than 1 pound of dry food for every five guinea pigs he has in the store he currently has 8 pounds of dry food and wants to know how many guinea pigs can he have in the store right and solve the inequality to solve the problem what is the solution to the inequality
Answer:
x ≤ 40
Step-by-step explanation:
Pounds of food : number of guinea pigs
1 pound : 5 guinea pigs
8 pounds : x guinea pigs
Where,
x = number of guinea pigs at 8 pounds of food
Inequality:
1 : 5 ≤ 8 : x
1/5 ≤ 8/x
Cross product
1*x ≤ 5*8
x ≤ 40
The solution to the inequality is
x ≤ 40
Answer:
B :)
Step-by-step explanation:
Desmond has already jarred 4 liters of jam and will jar an additional 3 liters of jam every day. Write an equation that shows the relationship between the days d and the jam made j. Write your answer as an equation with j first, followed by an equals sign.
Answer: j = 3d + 4
======================================================
Explanation:
Referring to the answer above, the "+4" at the end represents the amount Desmond already has. He started off with 4 liters.
The 3d represents the 3 liters he gets per day, where d is the number of days.
So we combine the two elements getting 3d+4 representing the number of liters at any given day. That's why the answer is j = 3d+4
If we plug in d = 0, then j = 3d+4 = 3*0+4 = 4 liters is what he starts with.
If we plug in d = 1, then j = 3d+4 = 3*1+4 = 7 liters is what he has the following day. This shows Desmond gained 3 more liters.
If you plug in d = 2, you'll find that 3d+4 becomes 10, showing yet another 3 liters is added on. This process can go on for as long as you want.
what is the product of 9+10
Answer:
19
Step-by-step explanation:
Umm just add I guess
Answer:
19
Step-by-step explanation:
because if you draw nine sticks then add 10 sticks and count them all at the end you will have 19 sticks
what are some ways you can make a rectangle 10,000 cm squared (I NEED A AWNSER QUICK)
Answer:
2 longer sides would be 4000 each, so that's 8000 total
and the 2 shorter sides could be 1000 each, so that's 2000 total
8000+2000=10,000
Step-by-step explanation:
PLS HELP I WILL MARK BRAINLIEST!!!!!!
Answer:
Number 3 . 5x-8y=-4
Step-by-step explanation:
help please I don't know it
Answer:
3
Step-by-step explanation:
it's 3
I'm positive
I just did this
(x + 7)^2
^2=squared
Find the area of this parallelogram.
9 cm
12 cm
1
21 cm
The area of the given parallelogram with a base of 12 cm and a height of 9 cm is 108 cm². The area is obtained by multiplying the base and height.
To find the area of a parallelogram, the formula that should be used is A = b × h, where b is the base and h is the height. Since a parallelogram has two pairs of parallel sides, either of the two parallel sides can be chosen as the base. The height is the perpendicular distance between the base and the opposite side.
In the given parallelogram, the base is 12 cm since it is one of the parallel sides. The height, on the other hand, is 9 cm since it is the perpendicular distance between the base and the opposite side. Therefore, the area of the parallelogram is: A = b × h = 12 cm × 9 cm = 108 cm²
Thus, the area of the parallelogram is 108 cm². It is important to note that the unit of the area is always squared since the area is calculated by multiplying two lengths together.
For more questions on parallelogram
https://brainly.com/question/970600
#SPJ8
What is value of 1/3 ÷ 1/12 *
4
1/4
1/36
1/6
Answer:
its the first one 4
Identify next three numbers in this sequence: 3, 12, 6, 24, 18, … 27, 13.5, 22.5 72, 66, 264 72, 36, 144 27, 21, 30
Answer:
its 72, 36, 144
Step-by-step explanation:
yes it is!!!
help plzz Charli pays $18.00 for 5 t-shirts he needs your help to answer the following questions.
Answer:
What do you but in the chart? Also, part 2 is 72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
If each t-shirt costs 3.6 dollars then you would have to multiply 3.6 by 20 shirts which will equal to 72. So Charlie has to pay 72 dollars for 20 shirts.
y = x2+x-30
what are the factors
Answer:
2 and x are the factors of 2
Step-by-step explanation:
please i need helpp ion get math at all
Answer:
you have to use the Pythagorean theorem. a^2 + b^2= c^2
72^2 + b^2 = 75^2
5184 + b^2 = 5625 (subtract 5184 from both sides)
b^2= 441 (find the square root of each side)
b= 21
Eli has a loan of $24,650. This loan has a simple interest rate of 3% per year. What is the amount of interest that Eli will be charged on this loan at the end of two years?
Answer:
$1479
....,..........
Answer:
If your talking about how much they are going to pay ONLY interest for two years then it is $1,479. $1,479 is the amount of money they will be paying for two years ONLY FOR INTEREST.
Step-by-step explanation:
3% of 24,650 is 739.5. That is for one year. 739.5 times 2 for two years is 1,479. Just in interest they will be paying a total of 1479 for two years. Let me know if I'm right. This should be right though. Hope it helped :)
Enrique is going to a party this weekend. He is bringing 20 liters of soda to the party. A liter of soda costs $1.59.
How much will Enrique spend on soda?
A, 3.18
B. 27.40
C. 29.60
D. 31.80
Answer:
31.8
Step-by-step explanation:
Answer:
Enrique spent D. $31.80 on soda.
Kevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year, how much does Kevin spend on lunch over the entire school year?
Answer:
399.37
Step-by-step explanation:
multiply the amount each week by the amount of weeks to get the answer :)
In parallelogram PQRS if m
Answer:
m∠RSP = 130°
Step-by-step explanation:
In parallelogram,opposite angles are equal.
m∠RSP = m∠PQR
m∠RSP = 130°
Answer:
∠RSP=130
Step-by-step explanation:
It is given that ∠PQR = 130°
∴∠RSP = 130° (vertically opposite angles are equal in a parallelogram)
Bianca walked
Which turtle has the fastest speed?
Michele walced
The speed of a turtle can be found by
distance by time
Vis the fastest turtle
The speed of the fastest turtle is centimeters per
minute.
Siema walked
18 min 6 minutes
Help me I’m stuck on this problem ok
Answer: The speed of the turtle can be found by dividing distance by time.
Michelle is the fastest turtle.
The fastest turtle is 6cm per minute
First turtle walks 3cm a minute
Second turtle walks 6cm a minute
Third turtle also walks 3cm a minute
its d b and d
hope this help a lot of people thank you for the points also have a good day
Cody's school is selling tickets to a play. On the first day of ticket sales the school sold 2 adult tickets and 5 child tickets for a total of $38. The school took in $34 on the second day by selling 2 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket?
Answer:
do you still need the answer or no?
Review the following information about vectors q and r.
What is the value of a?
q=(-4,1)
31
r = (a, 3)
7(q + r) = (-35, 28)
-5
==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
D. -1
Step-by-step explanation:
edge test
