Answer:
y=3x+14
Step-by-step explanation:
We can use point-slope intercept form to find the equation of the line.
Equation: y-y₁=m(x-x₁)
**For a line to be perpendicular to another, its slopes must be negative reciprocals of each other. So, in our example, the slope of the new line must be [tex]\frac{1}{3}[/tex].
1. Plug in provided info into the equation listed above (the coords are the values that we will put for x₁ and y₁:
y-5=[tex]\frac{1}{3}[/tex](x-(-3))
2. Simplify:
y-5=[tex]\frac{1}{3}[/tex](x+3)
3. Distribute & Simplify
y-5=[tex]\frac{1}{3}[/tex]x+1
3. Add 5 to both sides of the equation:
y=[tex]\frac{1}{3}[/tex]+6
The equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.
What is the definition of the perpendicular lines?Perpendicular lines have been defined in geometry as two lines which meet or intersect at right angles (90°). The term "perpendicular" is derived out of the Latin word "perpendicularis," which means "a plumb line."For the given question;
The equation of the perpendicular line is given as;
y=-3x-1
Compare with the standard slope intercept form.
y = mx + c
m is the slope and c is the y intercept.
Say slope m1 = -3
Then, the relation for the slopes of two perpendicular lines are-
m1 x m2 = -1
m2 = -1/m1
m2 = -1/-3 = 1/3
This, line with the slope 1/3 passes through the points;
(x1, y1) = (-3, 5)
The equation of the line is obtained as;
y - y1 = m2(x - x1)
y - 5 = (1/3)(x + 5)
y = x/3 + 20/3
Thus, the equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.
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Round 8,531.75 to the nearest 10.
Answer:
8,530
Step-by-step explanation:
8,531.75 rounds to 8,531 which rounds down to 8,530
The answer is 8,530.
Identify the range of the function y=-3x+6 when the domain is {-1,2,4}
A. {-6,0,9}
B. {-9}
C. {3,-12,-18}
D. {-3,12}
E. {-6,9}
When the domain is {-1,2,4} , the range of the function y =-3x+6 is {-6,0,9}
Given,
The function y= -3x+6
The domain of the function is the complete set of all possible input for the function.
The domain = {-1,2,4}
The range of the function is the complete set of all possible output for the function.
Substitute the values in the function
f(-1)= -3×-1+6
=3+6
= 9
f(2)= -3×2+6
=-6+6
= 0
f(4)= -3×4+6
=-12+6
=-6
So, -6,0 and 9 the possible output of the function y= -3x+6
The range of the function y= -3x+6 is {-6,0,9}
Hence, When the domain is {-1,2,4} , the range of the function y =-3x+6 is {-6,0,9}
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MATH PROBLEMS 2 PLS HELPPPP HOPE NOT TO SMALL BUT TRY THE ZOOM THAT MIGHT MAKE IT MORE VISIBLE
Answer:
No Zooms
Step-by-step explanation:
Sasha has $850 to deposit into two accounts.
Sasha will deposit $450 at First Oak Bank.
She will deposit the rest at River Point Bank.
Sasha will not make additional deposits or withdrawals.
How much more money will be in her account at First Oak Bank than at River Point after 2 years?
Amount in First Oak Bank is $87.84 than at River Point after 2 years.
What is Simple Interest and Compound Interest?Simple interest is the interest obtained over the principal amount on a certain rate.
Compound interest is the amount of interest which is calculated on the principal amount as well as the amount accumulated over the previous period.
First oak bank is simple with 6% interest.
Final amount in simple interest, A = P(1 + rt), where P is the principal amount , r is the interest rate and t is the number of years.
A = 450 (1 + (0.06 × 2)) = $504
River point bank is 2% compounded annually
Final amount in compound interest, A = P(1 + r/n)^(nt), where, P is the principal amount, r is the interest rate, t is the number of years and n is the number of times interest compounded annually.
P = 850 - 450 = 400
n = 1, since compounding is only 1 time in a year
A = 400(1 + 0.02)² = $416.16
Amount which is more in First oak is $504 - $416.16 = $87.84
Hence the amount more in the First oak account is $87.84.
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The complete question is given below.
Is there a solution to 8,-5
Answer:
The solution is x = 8.
Step-by-step explanation:
In a food processing plant, a machine fastens plastic lids on to glass jars. The chart shows the number of lids the machine has attached after certain lengths of time.Which is a correct interpretation of the average rate of change for this linear function?
The machine attaches 20 lids every 8 seconds.
The machine attaches 2 lids every 5 seconds.
The machine attaches 8 lids every 10 seconds.
The machine attaches 8 lids every second.
A cyclist rode 4.75 miles in 0.3 hours.
a. How fast was she going in miles per
hour?
Answer: He is goiung 15.83 miles per hour or 15 miles per hour.
Step-by-step explanation:
Just divide 4.75 by 0.3
it would be nice if someone can help me
Answer:
Solution is 16r-14s
Step-by-step explanation:
2(7r-2s)+2(r-5s)
14r-4s+2r-10s
16r-14s
16r - 14s
Step-by-step explanation:The perimeter is a measure of a polygon that describes the distance around the boundaries of a shape.
Perimeter Formula
The perimeter of a rectangle is equal to [tex]l + l + w + w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. This can be simplified to [tex]2l+2w[/tex]. Now, we can plug in the expression we are given for width and length.
[tex]2(r-5s)+2(7r-2s)[/tex]Simplifying the Expression
The expression above does accurately depict the perimeter, but it should be simplified to make the expression easier to understand and use.
First, distribute the 2 inside the parentheses.
[tex]2r-10s+14r-4s[/tex]The next step is to combine like terms. Like terms are terms that have the same power and variable. For example, 2r and 14r are like terms.
16r - 14sThis is the simplified expression and the final answer.
Pls help will give Brainlyist
Answer:
B
Step-by-step explanation:
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times the width. Which system of equations represents is the dimensions of the rectangular garden if the perimeter is 63?
Step-by-step explanation:
Let the width of the garden be b and its length is 9 feet less than 3 times the width.
Length = 3b-9 ...(1)
The perimeter of the garden = 63
We need to find the system of equations that represents is the dimensions of the rectangular garden.
Perimeter = 2(l+b)
63 = 2(3b-9+b) [from equation (1)]
31.5 = (3b-9+b)
31.5 = (4b-9)
31.5+9 = 4b.....(2)
b = 10.12
Hence, the equations are showsn in equation (1) and (2).
All boys grow up 3.75 inches per year. You measure a boy who is 9 years old
has a height of 4 feet 10 1/4 inch. What was the closest height of the boy
when he was six and a half years old?
I need help on this ASAP!!!
Answer:
UwU UwU UwU UwU
Step-by-step explanation:
Plz help, I’m not good at this!
If a dozen eggs cost $1.35 what I sent the unit cost, plz explain how to get the answer along with the answer
Plz don’t waste my points
Answer:
0.1125
Step-by-step explanation:
1.35 divided by 12 = 0.1125
Answer:
$0.11 per egg
Step-by-step explanation:
unit cost means how much each one costs
there are 12 eggs in a dozen
so all you have to do is divide $1.35 by 12
which equals $0.1125
but money is only counted by the hundredths place so we have to round
and that would be $0.11
hope this helps and plz mark brainliest :D
What is the classification for this polynomial? -9a^2b^2 - 9ab-9
Answer:
I Believe it is -9([tex]a^{2}[/tex][tex]b^{2}[/tex] + ab + 1)
Step-by-step explanation:
Factor out the common term 9.
Answer: trinomial
Step-by-step explanation:
they asked for the classification, where that looks to be a trinomial since it has 3 terms
please helppp ;-; how do you determine the end behavior of a function?
Answer:
End Behavior of a Function. The end behavior of a polynomial function is the behavior of the graph of f( x ) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
Step-by-step explanation:
PLEASE HELP FAST Rewrite
y = x/5 - 6 in a general form! I’ll give brainlist look at the picture!
Answer:
it's C. :)) u wanna explanation??
I WILL GIVE BRAINLIEST IF YOU SOLVE THIS
Answer:
linear regression: S = 2.3n - 4.2
Step-by-step explanation:
ANSWER FAST PLEASE!
Ms. Barcht Open a savings account with $50 and deposit $25 every week. Mrs. Greene save $75 every week. How many weeks will Mrs. Greene have more money in her account than ms. Bracht?
A. 25x+75>50
B. 75x=25x+50
C. 75x>25x+50
D. 75x<25x+50
Answer:
C
Step-by-step explanation:
Ms. Barcht's savings account can be modeled with the expression
50 + 25x
Mrs. Greene's savings account can be modeled with the expression
75x
Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.
Mrs.Greene > Ms. Bracht
75x > 25x + 50
Answer:
The answer would be C. 75x>25x+50
Step-by-step explanation:
The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150
Hope this helps.
Please help me!! thank you!
for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers between 99 and 301 ?
The sum of all the even integers between 99 and 301 is 20200
To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.
In this case, the first even integer will be 100 and the last even integer will be 300.
nth term of the AP = first term + (n-1) x common difference
⇒ 300 = 100 + (n-1) x 2
Therefore, n = (200 + 2 )/2 = 101
That is, there are 101 even integers between 99 and 301.
Sum of the 'n' terms in an AP = n/2 ( first term + last term)
= 101/2 (300+100)
= 20200
Thus sum of all the even integers between 99 and 301 = 20200
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Let z=1+i where i^2=-1.calculate z^2 z^3 z^4
Answer:
[tex]0[/tex]
Step-by-step explanation:
[tex]i^2=-1[/tex]
[tex]i=-1[/tex]
Subsite i in for z
[tex]z=1+-1[/tex]
Add [tex]-1[/tex] to both sides
[tex]z=0[/tex]
Anything multiplied by 0 is just 0.
James needs to buy shirts for his business. Company C charges customers a one-time $50 printing fee plus $10 for every shirt. Company D charges a one-time $20 printing fee plus $15 for every shirt. Which inequality can be used to find s, the minimum number of shirts that can be purchased so that the total charge at Company C is less than the total charge at Company D? 50s+10>20s+15 50s+10 20+15s
Answer:
50 + 10s > 20 + 15s
Step-by-step explanation:
This is the answer because if James pays for 1 shirt from company C he would be paying $60, but if he were to pay for 1 shirt at company D he would be paying $35. So that's why its >. Anyway, the s goes on the second number because that's the price for every shirt, And the first number is by itself because its a one-time printing fee.
Sue bought a bunch of snacks that each cost $2.50. Let y represent the total cost and x represent the number of snacks she bought. Pick which equation represents the proportional relationship between the total cost and the number of snacks she bought.
a. 2.50(y)=x
b. 2.50+y=x
c. 2.50(x)=y
d. 2.50+x=y
Answer=__________
Please I need this now!!!!!!!!!!!!!
Date : 12/11/2020
Answer:
the answer is letter c 2.50(x)=y
area of square increasing at 112 centimeters squared per second, rate of change when side is 7 centimeters
The area rate of change of side of square is 8 cm/s;
dA/dt = 112 cm²/s;
Area = (r)²; where r is the side of square;
dA/dt = (dA/dr)(dr/dt);
dA/dr = 2r and dA/dt = 112 cm²/s;
Therefore; dr/dt = 112/2r at r = 7;
dr/dt = 112/14 = 8 cm/s;
Rate of change of side of square is 8 cm/s;
area is the quantity that expresses the extent of a area on the plane or on a curved floor. The location of a aircraft region or plane place refers to the location of a shape or planar lamina, at the same time as surface place refers to the vicinity of an open floor or the boundary of a 3-dimensional object.
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Solve for x.
please helppp! it’s the end of the grading period
Answer:
x=4
Step-by-step explanation:
16 = 4x
16/4 = x
4 = x
Question 1
The model shows 156 jelly beans divided equally among three
friends. How many jelly beans does each person get?
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
Julio bought a backpack for $39.95 and 2 belts for $17.99 each. The sales tax is 6%. How much did Julio spend for all the items, including tax
Answer:
$80.49
Step-by-step explanation:
39.95 + 17.99 x 2
17.99 x 2 = 35.98
35.98 + 39.95 = 75.93
75.93 + 6% = 80.49
Help fast i will give you brainlist Which of these inequalities are equivalent to r > -11? Check all that apply. -r -33 -3r 33
Answer:
3r and 33
Step-by-step explanation:
Factor this trinomial.
x2 + 2x-3
Answer:(x-1) (x+3)
Step-by-step explanation:
Hope this helps!
Are these triangles similar? If yes, by what?
SSS, SAS, or AA?
Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).
Answer:
4x-y+1=0
Step-by-step explanation:
here,given equation of a line id
4x-y-2=0.. eqn(i)
equation of any line parallel to line (i) is
4x-y+k=0...eqn(ii)
since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]
4*1-5+k=0
or, 4-5+k=0
or,-1+k=0
•°•k=1
substituting the value of k=1 in eqn(ii),
4x-y+1=0 is the required equation of the line.