Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 8 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (6, - 1 ) into the partial equation
- 1 = 3 + c ⇒ c = - 1 - 3 = - 4
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2
Answer:
the 3rd one is not linear
y= x to the 2nd power
Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a discount?
Answer:
$780
Step-by-step explanation:
P = Original Price
P (100% - 10%) = $702
P (90%) = $702
(P (.9)) / .9 = $702 / .9
P = $780
Check answer:
$780 (90%) = $702
write the slope intercept form of the equation through (2,-4) parallel to y=-1
Answer:
y = -x - 2Step-by-step explanation:
Parallel lines have equal slopes.
Given slope, m = - 1 and point (2, -4).
Slope- intercept form:
y = mx + bTh line will be:
y = -x + bSubstitute x and y- values of the point into equation to find the value of b:
- 4 = - 2 + bb = 2 - 4b = - 2The line is:
y = -x - 2Slope=m=0
Parallel lines have equal slopes
Equation of line in point slope form
y-y1=m(x-x1)y+4=0(x-2)y+4=0y=-4What is the slope of the line with the equation: y+6=24-2x
pleeaseeee
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
y=18-2x
y=-2x+18
Answer:
Slope = -2
Step-by-step explanation:
Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.
the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be
m=-2/1 rise/run
If for an A. P d = -4 then t20 - t15 is what?
Step-by-step explanation:
[tex] - 20 \: is \: your \: answer[/tex]
Supposition of Terms in an A.P.(1) Three terms as : a -d, a,a + d .(2) Four terms as : a -3d , a - d , a + d , a + 3d .(3)Five terms as : a -2d , a - d , a , a+ d, a + 2d.To know the solution with Proof
Refer To the above attachment .
Hope this helps you !! Carry on learning!!The U.S. Senate has 100 members. After a certain election, there were 12 more Democrats than Republicans, with no other parties represented. How many
members of each party were there in the Senate?
Lisa is getting paid 96$ per hour, her salary per hour increases by 12%, how much is she getting paid now after in increases by 12% ?
Answer:
96$/12×100
=8 × 100
=800$
Answer:
After the raise, I believe she is now getting paid 107.52$ per hour,
Step-by-step explanation:
12% of 96$ is 11.52$
11.52$ + 96$ = 107.52$
I am not sure if all calculations are correct, but I hope this helps! :)
The following diagram shows the side view of a roof and attic space of a newly constructed
home. Find m
A. 20°
B. 40°
C. 60°
D. 25°
Answer:
A 20
Step-by-step explanation:
yeah-ya....... right?
Tickets for the Valentine Dance cost $3 per person or $5 per couple. The school ticket sales totaled $824 and there were 10 less couple tickets sold than 4 times the number of single tickets.
PLEASE HELP
Jed has 352 stickers in his sticker collection. He wants
to put them in an album. The album holds 8 stickers per
page. How many pages will Jed need? *Show your work
for full credit using any method to solve the problem.
What is the equation of the line that passes
through the points (0, -6) and (-2, -7)?
when 8 is subtracted from a certain number and the result is multiplied by 3 the final answer is 21. What is the original number
Answer: The original number is 15.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
(x-8)*3=21
x-8=21/3
x-8=7
x=7+8
x=15
Write the equation of the line in fully simplified slope-intercept form
Answer:
y = -5/6x + 6
Step-by-step explanation:
Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula
Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6
Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6
John is renting a boat, it costs $40 for the day and $5 per hour to rent. set an expression for the cost of the boat rental.A) factor the expressionB) how much would it cost for 4 hours
Answer: B
Step-by-step explanation:
please i need help with this
Given :-
Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .To Find :-
The equation of line q .Solution :-
The equation of the line p is ,
[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4
On comparing to slope intercept form of the line which is y = mx + c , we have ,
[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3
Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,
[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]
Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,
[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]
[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]
[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)
[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6
[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x
[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9
Hence the required answer is y = -3/5x - 9 .
Answer:
For Perpendicular lines you have to know
Step-by-step explanation:
Slope of P ×slope of q=-1 (always since they are perpned..)
so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p
so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes
And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b
so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3
uniting the denominater ==>y=-3/5x - 45/5
so that q equation is :y=-3/5x - 9
A bank account, initially with $3200, earns interest at a rate of 5.5% compounded monthly. Write an equation for the amount of money in the account at a time,x.
Answer: The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.
Step-by-step explanation:
Solve.
(Sorry About my handwriting)
Answer: the answer is gonna be a decimal which is Decimal: 145.333333 the 3 is repeated it keeps going forever
D= 9/5C + 32, If the temperature is -15 degrees Celsius, what is the temperature in Fahrenheit degrees
Answer:
5
Step-by-step explanation:
plug in the numbers (-15x9/5)+35 PEMDAS.
Out of 74 students in the gym, 55 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the floor to the total number of student?
Answer:
19:74
Step-by-step explanation:
74-55=the people sitting on floor=19
19:74
What is the equation to find the slope
m=
Answer:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Step-by-step explanation:
Answer:
[tex]\huge\boxed{m=\frac{y_2-y_1}{x_2-x_1} }[/tex]
Step-by-step explanation:
The equation for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], when given two points,
[tex](x_1,y_1), and (x_2,y_2)[/tex].
Hope it helps :) and let me know if you want me to elaborate.
If you received 5 one hundred dollar bills, 7 one thousand dollar bills and 7 one dollar bills, how much money did you get? Write the number in standard form.
Answer:
$7,507
Step-by-step explanation:
what is the perimeter of rectangle INA
9.10
10 units
10 unite
18 unita
unite
Answer:P=2(l+w)
Step-by-step explanation: its easy
Which statement is correct?
Answer:
The domain of the graph is all real numbers less than or equal to 0.
Hope this helps! :D
hlo math genius plz help no spam !!! (*°*°)
the area of a rectangle field 1800 m2 .If the ratio of length and breadth is 5:4, find itz perimeter
Let
Length=5xBreadth=4xATQ
[tex]\\ \sf{:}\longrightarrow Area=1800[/tex]
[tex]\\ \sf{:}\longrightarrow Length(Breadth)=1800[/tex]
[tex]\\ \sf{:}\longrightarrow 5x(4x)=1800[/tex]
[tex]\\ \sf{:}\longrightarrow 20x^2=1800[/tex]
[tex]\\ \sf{:}\longrightarrow x^2=900[/tex]
[tex]\\ \sf{:}\longrightarrow x=30[/tex]
Length=L=5(30)=150mBreadth=B=4(30)=120m[tex]\\ \sf{:}\longrightarrow Perimeter=2(L+B)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=2(150+120)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=2(270)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=540m[/tex]
Suppose you want to have $600,000 for retirement in 20 years. Your account earns 9% interest. How much would you need to deposit in the account each month?
Are these lines perpendicular?
yes
no
Answer: yes they are perpendicular
List the ordered pairs
Step-by-step explanation:
C. in descending order by weight<br /><br />
Find the value of x
please helppppp!!!!
Answer:
x = 3
Step-by-step explanation:
The two marked angles form a linear pair, so are supplementary. Their sum is 180°.
(3x +136)° +(5x +20)° = 180°
8x +156 = 180 . . . . . . . . . . . divide by °, collect terms
8x = 24 . . . . . . . . . . . . . . subtract 156
x = 3 . . . . . . . . . . . . . . divide by 8
_____
Additional comment
We suspect the intended answer for the second question is A 25° and 65°. These are possible measures for the acute angles in a right triangle, which must total 90°. No angle will be more than 90° (eliminates C and D), and the two smallest angles must total 90° (eliminates B).
i need help w this pls
Answer:
see explanation
Step-by-step explanation:
TQ and TR are perpendicular bisectors , so
QO = QN = 3.75
RP = OR = 3.4
The circumcentre T is equally distant from the triangle's 3 vertices, then
PT = QT = 4.5
Write and solve a system of THREE inequalities that models the situation below. Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.
Answer:
x = cupcakes
y = cookies
3x + 1y ≥ 205
x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205
Step-by-step explanation:
