write an equation in slope intercept form for the line that passes through the given point and is perpendicular to the graph of the equation
(4,2), y=1/2x+1
Answer:
y = -2x + 10
Step-by-step explanation:
Perpendicular slopes are negative reciprocals of each other.
So the given equation is y = 1/2x + 1 , the slope is 1/2. Therefore the perpendicular slope is -2.
Use slope-intercept form y = mx +b, substitute the slope = -2 and point (4, 2) into the slope-intercept form. After that solve for b
y = mx + b
2 = -2(4) + b
2 = -8 + b
10 = b
The answer is y = -2x + 10
Solve 12 + 5= 7.
A. x = -2 and x = 12
B. x = -2 and x = -12
C. X = 2 and x = -2
O D. x = 2 and x = = -12
Answer:
if you mean 12-5=12 this answer is x=144
here is the step by step explanation.
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/12-5-(7)=0
Step by step solution :
STEP
1
:
x
Simplify ——
12
Equation at the end of step
1
:
x
(—— - 5) - 7 = 0
12
STEP
2
:
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 12 as the denominator :
5 5 • 12
5 = — = ——————
1 12
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (5 • 12) x - 60
———————————— = ——————
12 12
Equation at the end of step
2
:
(x - 60)
———————— - 7 = 0
12
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 12 as the denominator :
7 7 • 12
7 = — = ——————
1 12
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(x-60) - (7 • 12) x - 144
————————————————— = ———————
12 12
Equation at the end of step
3
:
x - 144
——————— = 0
12
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-144
————— • 12 = 0 • 12
12
Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-144 = 0
Solving a Single Variable Equation :
4.2 Solve : x-144 = 0
Add 144 to both sides of the equation :
x = 144
One solution was found :
x = 144
Help! 100 points to correct!
Answer:
B is correct
Step-by-step explanation:
adding the amount taken away and then subtracting it is the same as subtracting twice
Answer:
either b or c
Step-by-step explanation:
Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
proprtional- equal
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
16×12= 192
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
192÷21=9.14
what is 1/8 divided by 2 3/4?A 1/32B 2 1/3C 1/22D 2 1/2
Answer: It is letter C. 1/22
Step-by-step explanation:
Change 2 3/4 to an improper fraction to get 11/4, then multiply 1/8 by the reciprocal of 11/4 which is 4/11.
1/8 x 4/11= 4/88
4/88 simplified = 1/22
Help me please!! I don’t understand
Answer:
Step-by-step explanation:
Write an equation of the line that is parallel to the y-axis and goes through the point (-2, 5)
Please help
Is (6, 3) a solution to this system of inequalities?
x + 3y ≥ 15
10x + 3y > 3
Answer:
Graph both inequalities and see if the point lies in the overlapping shaded region.
Step-by-step explanation:
A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?
Answer:
a = 8
Step-by-step explanation:
First find the equation of line using
y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1
y-1=7(x-(-6))
y-1=7x+42
y=7x+43
now let x be -5 to find y which is a
y=7(-5)+43
y=-35+43
y=8
so a = 8
What value of C will complete the square below and make the expression a perfect
square trinomial?
x? – 16x + c
2
-
[tex] {x}^{2} - 16x + 64 = [/tex]
[tex] ({x - 8})^{2} [/tex]
Thus :
[tex]C = 64[/tex]
PLSSS HELP THIS IS HARD ANYONE
Answer:
270 degrees counterclockwise rotation/ the last answer
Step-by-step explanation:
reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle
dilation would change the size of the shape
and translation wouldn't map it correctly bc it would still be turned the wrong way
Answer:
270 degrees counterclockwise rotation
Step-by-step explanation:
you can use the formulas, but if you don't know them you can always draw
270 degrees counterclockwise = 90 degrees clockwise
(x,y) -> (y,-x)
A'(1,-2) -> A(-2,-1)
B'(3,-2) -> B(-2,-3)
C'(3,-5) -> C(-5,-3)
D'(1,-5) -> D(-5,-1)
Which system of equations has no soulutions
2(5 - 8x) -13 = 9(1 - x) -12
2 (5 - 8x) - 13 = 9 (1 - x) - 12
10 - 16x - 13 = 9 - 9x - 12
10 - 13 - 16x = 9 - 12 - 9x
- 3 - 16x = - 3 - 9x
- 3 + 3 = - 9x + 16x
0 = 7x
0/7 = x
0 = x
_____
Hope it helps ⚜
Answer:
x = 0Step-by-step explanation:
2(5 - 8x) - 13 = 9(1 - x) -12 => 10 - 16x - 13 = 9 - 9x - 12=> -3 - 16x = -3 - 9x=> 0 = 16x - 9x=> 0 = 7x => x = 0Conclusion:
Therefore, the answer is 'x = 0'
!! Hoped this helped !!
[tex]BrainiacUser1357[/tex]
(Topic: Vectors) - Prove that ADE is a straight line
Answer:
Because the angle is a 180 degree angle.
Step-by-step explanation:
Answer:
If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.
Step-by-step explanation:
hope this helps
pls brainliest
Regina went out for breakfast. The bill came to $7.20. If Regina has a discount coupon for 20%, how much will be taken off the bill?
Answer:
Step-by-step explanation:
the answer is 5.76$ , 20% is -1.44$
The points in the table lie on a line. Find the slope of the line.
What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?
Answer:
-48
Step-by-step explanation:
-6=x/8
-6×8=x
x=-48
What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?
The solution to the equation is: -48
------------Verified Commentry from a K12 Representitive------------
The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3
Answer:
87
Step-by-step explanation:
difference = 7
A1 = 3
so let's imagine this arithmetic sequence as
3, 10, 17, 24 etc....
mathematically the sequence can be described as
An = a1 + (n - 1) d
A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87
What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0
Answer:
x = (−2 ± √−12)/2
Step-by-step explanation:
Using the quadratic formula (search it up if you don't know what it is, but it's basically the first thing in the pic):
Solve the system with elimination:
5x - y =1
10x + 3y = 7
Answer:
X = 2/5
y = 1
Is this what your looking for?
Step-by-step explanation:
If the only force acting on the player is gravity what is F in F=ma?
Answer:
F is the force due to gravity
Step-by-step explanation:
F is the force resulting from gravity acting on the player whose mass is m. 'a' is the acceleration due to gravity, about 9.8 meters/second².
Solve for x. *
40
15
50
10
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles marked there forms linear pair, and therefore they add up to be equal to 180°
That is ~
[tex] \sf2x + 30 + x = 180[/tex][tex] \sf3x + 30 = 180[/tex][tex] \sf3x = 180 - 30[/tex][tex] \sf x = 150 \div 3[/tex][tex] \sf x = 50 \degree[/tex]Therefore, value of x is 50°
Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
Solve.
−4.8x=−4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
x =
-4.8x=-4
The simplified fraction is 5/6
How I solved it:
-4.8 = -24/5 in fraction form.
-24/5 × 5/6 = -120/30
-120/30= -4
Answer:
-4
Step-by-step explanation:
Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.
Please help I don’t understand
Answer:
P = 0.14t +2.25
Step-by-step explanation:
The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:
(t, P) = (0, 2.25) and (7, 3.20)
You can use these points to find the equation of the line in the usual way.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)
m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14
The first point tells you the equation intercept, so the relationship between P and t is ...
y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).
P = 0.14t +2.25
please help me i’m being timed!!!
Answer:
B
Step-by-step explanation:
The heaviest pig on the farm weighs 100 pounds
please help !!!!!!!!!!!plss
Answer:
4
Step-by-step explanation:
replace x with its value to get
8-2y+3y=12 then combine like terms
8+y=12 subtract 8 from both sides
y=4
Answer:
the answer is numbe 1 which is 0
Step by step explaination:
4,268 ÷ 2 = n.
Find n.
A. 1,324
B. 1,234
C. 2,134
D. 2,314
Answer:
C.2,134
Step-by-step explanation:
4÷2=2
2÷2=1
6÷2=3
8÷2=4
Answer:
C
Step-by-step explanation:
Had that same question and I just guessed and got it right
6. Is it possible to use the distributive
property to rewrite 85 + 99 as a product
of a whole number greater than 1 and a
sum of two whole numbers? Explain your
answer.
Answer:
No because they don't have any common factors.
Step-by-step explanation:
85 = 5 x 17
99 = 3 x 3 x 11
They don't have any common factors
Select all expressions that show the distance between P and Q
DISCLAIMER THERE COULD BE MULTIPLE ANWSERS
A 5−(−8)
B 5+|−8|
C |−8+5|
D 5+(−8)
Answer:
A and B
Step-by-step explanation:
5-(-8) = 5+ 8= 13 (the distance between -8 and 5)
5+|-8| = 5 +8 = 13