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:
(x-2)= - 1/4(x-8) what does x equal?
Answer:
16/5 or 3 1/5 i think
Step-by-step explanation:
Answer:
x = 16/5.
As a decimal this would be x = 3.2.
Step-by-step explanation:
On the right, distribute the -1/4 to the (x - 8). Do this by multiplying -1/4 to each term in the parenthesis. Then, solve for x by combining like terms.
least common multiple of 12 and 3
Answer:
Answer is 12
12x1=12
3x4=12
Step-by-step explanation:
Its the least number.
Answer:
It is exactly 12
Step-by-step explanation:
I hope this helped you
Can i get branliest and heart please
Thanks!
Find the value of x in the
following parallelogram:
2x - 1
11
7
x = [?]
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
See attachment for complete question
From the attachment, the parallelogram has two diagonals. And the diagonals of a parallelogram bisect one another.
Because 2x - 1 and 7 are opposite sides of a diagonal; We can say that:
[tex]2x - 1= 7[/tex]
Add 1 to both sides
[tex]2x - 1 + 1 = 7 + 1[/tex]
[tex]2x = 8[/tex]
Divide through by 2
[tex]x = 4[/tex]
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation? 2y = x – 4.5 y = y equals StartFraction 2 over 3 EndFraction x minus 3.x – 3 6y = 6x – 27 y = y equals StartFraction 3 over 2 EndFraction x minus 4.5.x – 4.5
Answer:
B is correct
Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions
Answer:
the answer is B).
Step-by-step explanation:
someone deleted my answer:(
I need help ASAP pic below
Answer:
Step-by-step explanation:
2) ∠A + ∠B = 146 {Exterior angle theorem}
5y + 3 + 4y + 8 = 146
5y + 4y + 3 + 8 = 146 {combine like terms}
9y + 11 = 146
9y = 146 -11
9y = 135
y = 135/9
y = 15
3) m∠A = 5y + 3
= 5*15 + 3
= 75 + 3
∠A = 78
4) m∠B = 4y + 8
= 4*15 + 8
= 60 + 8
m∠B = 68
5) m∠ACB + m∠A + m∠B = 180 {Angle sum property of triangle}
m∠ACB + 78 + 68 = 180
m∠ACB + 146 = 180
m∠ACB = 180 - 146
m∠ACB = 34
Sumalee and Scott each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Sumalee spent $93 on 6 daylilies and 3 pots of ivy. Scott spent
$196 on 13 daylilies and 6 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.
Answer:
The cost of one daylily is $10 and the cost of one pot of ivy is $11
Step-by-step explanation:
To solve the question we will form a system of equations
Assume that the cost of 1 daylily is x and the cost of 1 pot of ivy is y
∵ Sumalee spent $93 on 6 daylilies and 3 pots of ivy
→ Multiply x by 6, y by 3, then add the products and equate the sum by 93
∴ 6x + 3y = 93 ⇒ (1)
∵ Scott spent $196 on 13 daylilies and 6 pots of ivy
→ Multiply x by 13, y by 6, then add the products and equate the sum by 196
∴ 13x + 6y = 196 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by -2
∵ -2(6x) + -2(3y) = -2(93)
∴ -12x - 6y = -186 ⇒ (3)
→ Add equations (2) and (3)
∵ (13x + -12x) + (6y + -6y) = (196 + - 186)
∴ x + 0 = 10
∴ x = 10
→ Substitute the value of x in equation (1) to find the value of y
∵ 6(10) + 3y = 93
∴ 60 + 3y = 93
→ Subtract 60 from both sides
∵ 60 - 60 + 3y = 93 - 60
∴ 3y = 33
→ Divide both sides by 3
∴ y = 11
∴ The cost of one daylily is $10 and the cost of one pot of ivy is $11
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider DU charges AED10 per month plus an activation fee of AED20. A second cellphone provider ETISALAT charges AED11 per month plus an activation fee of AED15. For what number of months is the cost of either cellphone provider the same?
Answer:
5 months
Step-by-step explanation:
One cellphone provider charges AED10 per month plus an activation fee of AED20.
If I used the services of this cellphone provider for x months, total charges for the services,
y = 10x + 20 --------(1)
Similarly, charges for the second cellphone provider for x months of uses will be,
y = 11x + 15 -------(2)
Input-output table for equation (1)
x 1 2 3 4 5
y 30 40 50 60 70
Input output table for equation (2)
x 1 2 3 4 5
y 26 37 48 59 70
From these tables, we find (5, 70) is a common point for both.
It reveals that after the uses of 5 months charges for both the cellphone providers will be same (y = $70)
please help me for 50 point
Answer:
54
Step-by-step explanation:
So If this tells you what 'm' and 'n' are, you just put them inside.
First do the M so then it will be 5 * 10 which is 50 then we just first leave it there. Then we start putting in that N. We know that N is 4. Then it's N to the power of 2. I recommend since there's already a 4 on the bottom, just do 4 * 4 there. Then you see there is a 4 on the denominator while there are double 4's on the numerator. Then you just cross one 4 on the denominator and one on the numerator to simplify it.
Then all there is is 50 + 4 = 54
So 54 is our answer.
Answer:
Step-by-step explanation:
10m + n^2/4 (m=5 , n=4)
(10*5) + (4^2/4) =
50 + 4 =
54
What is a 217 for the sequence -10,-7, -4,-1, ...
Answer:
a(217)=638
Step-by-step explanation:
a(n) = a +(n-1)d
a=-1
d=-7+10=-4+7=3
a(n) = -10 +(n-1)3
a(217) = -10 +(217-1)3
= -10+648
=638
hope this helps
Please show steps on how you simplified it
Answer:
4(3^2)
3^2=9
4(9)= 36
Answer:
4(3•3)
4(9)
36
Step-by-step explanation:
3 to the second power is equal to 3•3, which is equal to 9
Then you do 4 times 9, equals to 36
All of the following are equivalent, except _____.
(8 + 3)x
11x²
11x
8x + 3x
hellllllllllllppppppppppp
Explanation:
Choice A combines to 11x since the 8+3 simplifies to 11.
Choice D is a very similar story. Think of having 8 boxes, which we denote in shorthand as 8x. Then adding on 3 more boxes leads to adding on 3x. Having 8 boxes plus another 3 boxes gives 8+3 = 11 boxes total. So that's why 8x+3x = 11x. Alternatively, we can factor out the x to say 8x+3x = (8+3)x.
This shows choices A,C, and D are equivalent expressions. Choice B is the odd one out.
6a-4a(3-4)=
Please help me
Answer:
Step-by-step explanation:
10a
plzzzzzzzz help
The regular price of a coat is $35.25. During a sale, the coat rang up for $19.99. What was the percent off of the coat during the sale? (5 points)
a
The sale was for a 43% decrease.
b
The sale was for a 76% increase.
c
The sale was for a 76% decrease.
d
The sale was for a 43% increase.
Answer:
a
The sale was for a 43% decrease.
Step-by-step explanation:
The computation of the percent off of the coat during the sale is shown below:
Regular price is $35.25
And, in the sale the price is $19.99
So, the percent off would be
= ($35.25 - $19.99) ÷ ($19.99)
= 43% decrease
hence, the percent off of the coat during the sale is 43% decrease
Therefore the correct option is a.
And, all the other options are incorrect
Help I forgot! How do you find slope? I have the change, but need the slope!
Answer:
(y2 - y1)/(x2-x1)
Step-by-step explanation:
if you have 2 points (x1,x2) and (y1,y2), just plug it in the formula for slope m
m = (y2 - y1)/(x2-x1)
rewrite as as whole number 40/5
Answer:
8
Step-by-step explanation:
Just do 40 divided by 5.
20%= ?/50. What is the question mark?
7/4
7/1
10/4
3/2
Answer:
10/4
Step-by-step explanation:
A student records the sexes and breeds of a dog in animal shelter. Which kind of data is the student recording
Answer:
sexes and breeds duh
Step-by-step explanation:
Answer:
data of the dogs
Step-by-step explanation:
What is the equation of the line that passes through the point (3,5) and has a slope
of 2?
Answer:
y-5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
Answer:
y=2x-1
Step-by-step explanation:
trust me, it's that
Pamela is 5 years younger than Jiri. The sum of their ages is 55. What is Jiro's age?
Answer:
ummm i firgit
Step-by-step explanation:
I forgot bc well I am dum
Answer:
The answer is 30
Step-by-step explanation:
j+j-5=55
2j=60
=30
What are the zeros of the function defined by 2x^2 - 9x + 4?
O A. -1/2, -4
O B. -1/2, 4
OC. 1/2, -4
O D. 1/2, 4
someone please help me. show your work for brainliest.
find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0
Answer:
Attached file
Step-by-step explanation:
Me and my daughter are having a disagreement on this question, I would appreciate the help.
Answer:
(4t - 8/5) - (3 - 4/3t) = 16/3t - 23/5
5(2t + 1) + (-7t + 28)= 3t+33
(-9/2t +3) + (7/4t + 33) = -11/4c+56
3 (3t-4) - (2t + 10)= 7t -22
Sooo Sorry that it took soooo long! Hope this helps!!!
Happy holidays!!
What is 3(2x-6)-11=4(x-3)+6
Answer:
[tex]x=11.5[/tex]
Step-by-step explanation:
Answer:
the answer is x=23/2 I think you can simplify that
HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent
1. from 60 to 48
2. from 180 to 108
3. from 64 to 24
4. from 6.5 to 4.8
5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.
Answer:
Hey, ill do like 2 and you can do the rest
percent decrease or change is
new-old over old
So like #1
1) 60 is old, 48 is new
so 48-60=-12
now over old which is 60
-12/60
-1/5
20 percent decrease
2) 180 is old, 108 is new
108-180=-72
-72/180
40 percent decrease
Step-by-step explanation:
Write ✓-49 as an imaginary number using i.
I’ll give brainliest
At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $55 per month, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
What is the slop of a line that passes through (2,10) and (1,6)
Answer:
4
Step-by-step explanation:
Slope is x2-y2/ x1-y1
So, its 6-10/1-2
or, -4/-1
Or 4.
Hope this helps you!
#Team Rainbows.
Answer:
4.
Step-by-step explanation:
The slope = (difference in y coordinates) / (corresponding difference in the x coordinates)
= (10-6)/ (2-1)
= 4 / 1
= 4.
Determine the function rule for the following input/output table.
inputs
2
3
4
5
6
outputs
21
31
41
51
61
Answer:
Every time the input goes up by 1 the output increases by 10.
Step-by-step explanation:
Armoni took a quiz. On her quiz, she got a 95%. If there were 20 questions on the quiz, how many did Armoni get correct?
Answer:
19 questions right
Step-by-step explanation:
95% > .95
.95 * 20 = 19
Armoni got 19 questions correct
hope it helps!
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 + n . What does the variable n in the expression represent?
Answer:
n = The number of can collected after lunch
Step-by-step explanation:
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling.
From the question, the told number rod cans collected before lunch = n
We are told that :
At the end of the day, the total number of cans collected can be represented by the expression 173 + n .
The total number of cans = Number of cans collected before lunch + Number of cans collected after Lunch
Hence:
173 + n = 173 + Number of cans collected after Lunch
Therefore, the variable n = Number of cans collected after Lunch