Answers
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
Related Questions
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
Answers
Answer:
$24.48
Step-by-step explanation:
2.99+9.99+11.50+7.99/20/10/7 = $24.48
Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?
Answers
Answer:
12.76
Step-by-step explanation:
because 510.44 x 2.5%= 510.44 x 0.025= 12.76
hope this helps you guys have a great day to all of you guys
The finance charge would be the amount of $6.64 on Lauren's February statement.
What is the finance charge?
The finance charge is the multiplication of the average daily balance and the monthly periodic rate.
The finance charge = average daily balance × monthly periodic rate
The bill shows an average daily balance of $510.44, and the monthly periodic rate is 1.3%.
The finance charge = $510.44 x 1.3%.
The finance charge = $6.635
Round the nearest to the hundredth,
The finance charge = $6.64
Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.
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is this correct ? if not what’s the correct answer?
Answers
Answer:
yes
Step-by-step explanation:
A total of 379 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
A total of 225 tickets were sold to adults for the school play.
How many tickets were sold to adults?
In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:
x + y = 379
x + 71 = y
Where:
x - Tickets sold to students.y - Tickets sold to adults.Now we proceed to solve the system of linear equations:
x + (x + 71) = 379
2 · x = 308
x = 154
And the number of tickets sold to adults is:
y = x + 71
y = 154 + 71
y = 225
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What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0
Answers
Answer:
y=4
Step-by-step explanation:
x1=4,y1=4,m=0
Equation of a line: y-y1=m(x-x1)
y-4=0(x-4)
y-4=0
y=4
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answers
Answer:
(-4,2)
Step-by-step explanation:
See attachment
An investor invested a total of $3,500 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. If the investor's total profit was $223, how much was invested in each mutual fund?
Answers
Answer:
i found this so srry if its wrong i saw no one answering this so i wanna help
Step-by-step explanation:
so, x*(7/100) + (3500 - x)*(4/100) = 197
=> 3x + 14000 = 19700
=> 3x = 19700 - 14000
=> x = 5700/3 = 1900
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d
Answers
Answer:
40-d
Step-by-step explanation:
what is the answer -v+91=261
Answers
Answer:
v = -170
Step-by-step explanation:
-v + 91 = 261
(-v + 91) - 91 = 261 - 91
-v = 170
-v / -1 = 170 / -1
v = -170
Step-by-step explanation:
(-v) +91 = 261
(-v) =91=261
(-v)=261-91
(-v)=170
v= - 170 (change the signs)
A pair of shoes was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price? 5 points
Answers
Answer:
$138
Step-by-step explanation:
120 · 0.15 = 18
120 + 18 = 138
Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!
Answers
Answer:
$53.61
Step-by-step explanation:
It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...
growth factor = 1 + growth rate
growth factor = 1 -2.4% = 1 -0.024 = 0.976
Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...
($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61
The value is projected to be $53.61 in 2 years.
Functions f (solid) and g (dashed) are graphed.
What is the equation of g in terms of f?
A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)
Answers
An equivalent expression for16x-8
Answers
Answer:
8(2x-1)
Step-by-step explanation:
16x-8=8(2x-1)
A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)
Answers
The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
Given the following
Initial population = 150 birdsIf there is a 16% increase, the increment will be 0.16(150)
The population B(t) as a function of time will be expreessed as:
B(t) = 150(1+0.16)
B(t) = 150 (1.16)
Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
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The price tag on the remote-controlled helicopter said $79. If Jimmy buys the
helicopter, he'll also have to pay 8% sales tax. How much does the helicopter cost with
tar?
Answers
Step-by-step explanation:
79×0.08 = 6.32 (tax)
79(price) + 6.32(tax) = 85.32
ARAT TIETE (Simplify): V125 - V45+ V5
Answers
Answer:
3[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{125}[/tex]
= [tex]\sqrt{25(5)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]
= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms
= 3[tex]\sqrt{5}[/tex]
Amir wants to create a 4-digit password for his phone. He wants to choose 4 different numbers between 1 and 5 inclusive. Calculate the total number of 4-digit passwords that Amir can create.
Answers
Answer:
625Step-by-step explanation:
Let the digits be:
abcdEach of them include numbers 1 through 5.
For each digit there are 5 options.
Total number of combinations is:
5*5*5*5 = 625a has 5 choices of numbers
b had 4
c has 3
d has 2
So the equation would be 5x4x3x2 = 120
Enter <, > or = to make the statement true. 17.001 [?] 17.0001
Answers
Answer:
17.001>17.0001
Answer:
17.001>17.0001
Step-by-step explanation:
17.001 is greater than 17.0001
i need help please!!!!
Answers
Answer:
not parallel.
Step-by-step explanation:
1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));
2) slope of AB: (7-3)/(2-1)=4;
3) slope of CD: (5-2)/(7-6)=3;
4) finally, AB∦CD (4≠3).
PLEASE HELP ME GUYS!!
Answers
this is your answer hope it's helpful for you
Please help with this !
Answers
Well we know 15+17 is 32 so now you do 180-32 which equals 148 so b=148
Finding gradients and intercepts
Write down the gradient and intercept of these lines:
Q1.
Y = 10x + 6
gradient =
intercept =
Q2.
y = 2 - 2x
gradient =
intercept=
Answers
Answer:
gradient 10, intercept 6gradient -2, intercept 2Step-by-step explanation:
The "gradient" is the coefficient of x. The "intercept" is the constant.
__
Q1gradient: 10
intercept: 6
__
Q2gradient: -2
intercept: 2
Q1.
For the line equation Y = 10x + 6:
The gradient is the coefficient of x, which is 10.
The intercept is the constant term, which is 6.
Q2.
For the line equation y = 2 - 2x:
The gradient is the coefficient of x, which is -2.
The intercept is the constant term, which is 2.
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i need help with this!!
Answers
Answer:
Kim is younger than 6 years
Step-by-step explanation:
Answer:
Step-by-step explanation:
Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total
Answers
Answer:
$39.36
Step-by-step explanation:
Can find how much the sales tax cost:
32 x 0.08 = $2.56
Can also find out how much he tipped:
32 x 0. 15 = $4.80
Total = $32 + sales tax + tip
Total = $32 + $2.56 + $4.80
Total = $39.36
Answer:
$39.36 in total
Step-by-step explanation:
32×0.08= 2.56
32×0.15= 4.8
4.8+2.56= 7.36
32+7.36=39.36
Find y
Find m
Find m
Answers
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
Find Y
LOOK AT THE PICTURE
Answers
Answer:
D
Step-by-step explanation:
[tex]y = 3\sqrt{2}[/tex]
Just use pythagorean theorem, very simple.
c = [tex]\sqrt{a^{2}+b^{2} }[/tex]
In your case c is y
your answer calculated will come out to 4.24 but put in terms your teacher wants will be
[tex]y = 3\sqrt{2}[/tex]
Solve and show your work for each question...
Answers
[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]
Melody can cycle for 30 miles against the wind in the same amount of
time that is takes her to cycle 66 miles with the wind. If the speed of the
wind is 3 mph, what equation could be used to find Melody's speed
without any wind (x).
Answers
Answer:
15x/2*4
Step-by-step explanation:
Ms. Lopez wants to buy an ipod. The ticket price shows $225. But she only brought $146.50 to the store. What percent discount would she need so that the ipod sells at the exact amount she has in her pocket?
Answers
Answer: 65.11%
Step-by-step explanation:
What is the value of |–3.25| ?
Answers
Answer:
3.25Step-by-step explanation:
Rule: An absolute value will always be positive.
=> Referring to the rule, the absolute value of |–3.25| is 3.25.
Hoped this helped.
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