Which of the lines whose equations are given below is perpendicular to 3x - 12y = 10?
Answers
Answer:
1. 8x + 2y = 16
Step-by-step explanation:
3x - 12y = 10
12y = 3x - 10
y = 1/4 x - 5/6 .... slope: 1/4
perpendicular line slope: -4
8x + 2y= 16
2y = -8x + 16
y = -4x + 8 .... slope: -4
Related Questions
Find x, y, mzC, and mA' given m/A = y;
m/A' = 2x + 5, mc-3x-y,
mZC' = 4
Answers
The value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.
What is the triangle translation?
In mathematics, a triangle translation refers to the geometric transformation in which a triangle is moved to a new position without rotating or scaling it. The triangle is simply slid along a straight line in a certain direction, and the new position of the triangle will be parallel to the original one.
Given that ΔABC translates to ΔA'B'C', we can assume that the measures of the angles are the same in both triangles. Therefore, if we know the measure of an angle in one triangle, we can assume that the measure of the corresponding angle in the translated triangle is the same.
Given:
m∠A = y
m∠A' = 2x + 5
m∠C = 3x-y
m∠C' = 4
Since opposite angles in a rectangle are congruent, m∠A=m∠C' and m∠C = m∠A'
Therefore,
y = 4
3x-y = 2x + 5
Solving this equation gives us:
x = y + 5 = 4 + 5 = 9
y=4
m∠C = 3x - y = 3(9) - 4 = 25
m∠A' = 2x + 5 = 2(9) + 5 = 23
Hence, the value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.
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some1 hurry up plzzz need help
Answers
Answer:
IM pretty sure b) and c)
Step-by-step explanation:
a crowded bus makes several stops along a city street,with no passengers boarding the bus at any stop.At the 1st stop 1/3 of the passengers exit.At the 2nd stop 3/7 of the remaining passengers exit the bus.What fraction of the original passengers remain on the bus?
Answers
The fraction of the original passengers remaining on the bus is 11/21.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.
.At the 1st stop 1/3 of the passengers exit.
At the 2nd stop, 3/7 of the remaining passengers exit the bus.
Therefore, The fraction of the original passengers who remain on the bus is,
= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].
= [ 1 - (1/3) - (3/21)].
= [ (2/3) - (3/21)].
= [(14 - 3)/21].
= 11/21.
So, 11/21 remains on the bus.
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The following equation is a polynomial:
5x−2−1
True
True
False
Answers
Answer:
True
Step-by-step explanation:
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables. So yes this is a polynominal.
3. Find f[h(a+4)], given the functions below. *
Given f(x) = 5x, g(x) = -2x + 1, and h(x) = x2 + 6x + 8, find each value.
O A 2a^2 +15a +120
O B 5a^2 +30a +240
O C 5a^2 +70a +240
O D-5a^2 +50a +360
Answers
Answer:
C 5a^2 +70a +240
Step-by-step explanation:
We have given these following functions:
[tex]f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8[/tex]
h(a+4)
This function is:
[tex]h(a+4) = (a+4)^2 + 6(a + 4) + 8[/tex]
[tex]h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8[/tex]
[tex]h(a+4) = a^2 + 14a + 48[/tex]
f[h(a+4)]
[tex]f(x) = 5x[/tex]
Thus
[tex]f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240[/tex]
The correct answer is given by option C.
Complete the table using the function c = 12m - 17.
Answers
Step-by-step explanation:
c = 12m - 17
m = 2
c = 12×2 - 17 = 24 - 17 = 7
m = 4
c = 12×4 - 17 = 48 - 17 = 31
m = 8
c = 12×8 - 17 = 96 - 17 = 79
In the formula C = (F - 32) * 5/9, the letter "F"
Answers
Answer:
Fahrenheit.
Step-by-step explanation:
In the given formula, the variables given stand for:
C = Celsius
F = Fahrenheit
~
In this case, you plug in the temperature in Fahrenheit into F, and then use the equation to obtain the temperature in Celsius.
~
The following equations define a system. −2x + y = 10 x + 2y = 5 Which graph represents the system? The graph shows a line that passes through negative 5 comma 0 and 0 comma 2.5. There is a second line that passes through 0 comma 10 and 5 comma 0. The lines intersect at 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma 10. There is a second line that passes through 0 comma 2.5 and 5 comma 0. The lines intersect at negative 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 2.5. There is a second line that passes through 0 comma negative 10 and 5 comma 0. The lines intersect at 3 comma negative 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 10. There is a second line that passes through 0 comma negative 2.5 and 5 comma 0. The lines intersect at negative 3 comma negative 4.
Answers
The graph of the system of linear equations is attached with the answer.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the system of linear equations as given -
- 2x + y = 10
x + 2y = 5
The given system of linear equations is -
- 2x + y = 10
x + 2y = 5
Refer to the graph of the system of linear functions attached. The point (-3, 4) is the solution set of this system of equation.
Therefore, the graph of the system of linear equations is attached with the answer.
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4
On Monday Selma has £202.69 in her bank account.
Selma needs to pay a bill of £465.20 from the account on Wednesday.
She will pay some money into the account on Tuesday so that there is
●
enough money in the account to pay the bill
£10 left in the account after the bill has been paid.
No other payments occur.
How much money does Selma pay into the account on Tuesday?
Answers
Answer:
Answer: £272.51
Step-by-step explanation:
First, we need to determine how much money Selma needs to have in her account in order to pay the bill and still have £10 left over. The bill is for £465.20, so Selma needs to have £475.20 in her account in order to pay it.
Next, we need to determine how much money Selma needs to pay into her account in order to reach this total. She starts with £202.69 on Monday, so she needs to pay £475.20 - £202.69 = £<<475.20-202.69=272.51>>272.51 into her account on Tuesday. Answer: £272.51
Need help ASAP 10 points right now plz help
Answers
Answer:
Area is 195 in
Step-by-step explanation:
I did this assignment :D
two numbers have a sum of 33. if one of the numbers is -37 , what is the other number?
Answers
Answer:
70
Step-by-step explanation:
Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.
Find the sum of the interior angles…. Please help me ASAP. No bots
Answers
Where t is sum of interior angles and n is number of sides of the object. Since we have 7 sides (n=7) then T=180(5)
T=900
Solve the simultaneous equations
3x + 5y = 21
3x – y=3
Answers
Answer:
Using substitution method
x=2
y=3
You cut a loaf of plantain bread into 20 equal slices . you and friends eat 3/10 of the bread . you want to put each leftover slice into its own bag. How many bags do you need
Answers
Answer:
14 bags.
Step-by-step explanation:
20 equal slices, so 20/20.
You eat 3/10 of it. 3/10 is equivalent to 6/20.
20/20 - 6/20 is 14/20.
You need 14 bags.
What is the ratio of 4 red pens to 7 black pens
Answers
Answer:
There could be 12 red pens and 21 black pens
Step-by-step explanation:
Please help I don’t understand this.
Answers
Answer:
The 0
Step-by-step explanation:
the answer is 10bshsjwjjwjs
Find the product of -2, -4, -6, and , -9
Answers
Answer:
product is 432
Step-by-step explanation:
(-2)(-4)=8
(-6)(-9)=54
(8)(54)=432
PLEASE HELPPPPPP!!!!! WILL GIVE BRAINLIEST
Answers
Answer:
Since the leading coefficient is negative and the exponent is to a degree of 4...
The graph will be down on both ends.
The product of four less than thrice a number and two will result to
Forty-six.
Answers
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:
sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
find the area if each shaded sector.
plz help im confusedddddddd
Answers
Answer:
634.2 m²
Step-by-step explanation:
Given:
Angle given = 37°
Radius (r) = 15 m
Required:
Area of the shaded sector
Solution:
Area of the shaded sector = θ/360 * πr²
θ = 360 - 37 = 323°
r = 15 m
Plug in the values
Area of the shaded sector = 323/360 * π * 15²
= 634.209017
≈ 634.2 m² (nearest tenth)
Solve for y. answer to the nearest tenth & solve for x. NEED HELP WITH BOTH THESE QUESTIONS !!
Answers
Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
Graph the linear equation.
4x+6y=−12
Plot two points on the line to graph the line.
Answers
Answer: (-3,0) and (0,-2)
Step-by-step explanation:
Maria Brought 3 cakes of the same size for her birthday. half of one cake was left and one-third of qther. how much cake was left over altogether?
Answers
Answer:
7/12 (seven over twelve)
Step-by-step explanation:
1/3 -1/4 =4/12- 3/12=1/12
1/2+1/12=6/12+1/12=7/12
so the answer is 7/12
hopefully this helps
Your company is considering a new project that will require $250,000 of new equipment at the start of the project. The equipment will have a depreciable life of eight years and will be depreciated to a book value of $10,000 using straight-line depreciation. The cost of capital is 12 percent, and the firm's tax rate is 21 percent. Estimate the present value of the tax benefits from depreciation.
Answers
The present value of the tax benefits from depreciation which is a non cash expenditure under capital budgeting decisions is $10432.80
What is Depreciation?According to the prudence concept of accounting convention, Depreciation is a non cash expenditure that has been charged against the profit. Depreciation is value that amortized over useful life of tangible fixed asset. The absolute decline in the value of asset due to obsolesce, usage of asset, wear & tear of fixed asset is referred as depreciation.
As per accounting standard on property, plant & equipment depreciation can be computed by straight line method and written down value method.
While analyzing the capital budgeting decision from the equipment to be acquired the cash inflows and outflows during the currency of the project shall be accounted for.
The tax benefit from depreciation expenses will be consider as cash inflow. The same shall be calculated by the present value annuity factor for the as follows:
cost of capital = 12 %
Depreciation = $10000
Life of the project = 8 years
Tax rate = 21%
Present value annuity factor (PVAF) at 12% for 8 years will be:
0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404
Grand total of the (PVAF) at 12% = 4.968
Now multiply the PVAF with depreciation amount
Present Value of Depreciation = 4.968 × 10000 = $49,680
Tax benefit from depreciation = $49,680 × 21% = $10432.8
Thus the tax Tax benefit from depreciation is $10432.80
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6 divided 109 can you help?
Answers
Answer: 18.1666666667
Step-by-step explanation:
Plz answer this i need help its done today
Answers
Answer:
1) 1/10
2) 1/2
3) 1/5
Step-by-step explanation:
1)
1 favorable outcome and 10 total outcomes.
[tex]P(3) = \frac{1}{10}[/tex]
2)
5 favorable outcomes and 10 total outcomes
[tex]P(even) = \frac{5}{10} = \frac{1}{2}[/tex]
3)
2 favorable outcomes and 10 total outcomes
[tex]P(multiples\ of\ 5) = \frac{2}{10} = \frac{1}{5}[/tex]
Lily loves 2.5 miles farther from school than Dante Dante lives 16.25 miles from school how many miles from school does Lily live
Answers
Answer:
18.75
Step-by-step explanation:
Just add 2.5 and 16.25 :)
Answer:
Lily must live 18.75 miles away
Step-by-step explanation:
If Lily lives 2.5 miles further from school than Dante then the equation is
16.25+2.5 = x
Add them together and you get 18.75
(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answers
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
Compare the functions below
G(x)
f(x) = −6x − 3 cosine function with y intercept at 0, negative 3 h(x) = 2 cos(x + π) − 1
Using complete sentences, explain which function has the greatest y-intercept.
please answer step by step
Answers
Answer:
f(x)=-6x-3 has a greater y intercept
Step-by-step explanation:
What is 22 + 125 - 6
Answers
Answer:
141
Step-by-step explanation:
calculator
Answer:
141
Step-by-step explanation:
22+125=147
147-6=141
therefore
the answer is 141