Answers
Answer:
A = 2, B = 3 and C = 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 )
Given
2x + 3y = 2 ( subtract 2x from both sides )
3y = - 2x + 2 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = [tex]\frac{4}{3}[/tex]
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form
Multiply through by 3
3y = - 2x + 4 ( add 2x to both sides )
2x + 3y = 4 ← in standard form
with A = 2, B = 3 and C = 4
Related Questions
A truck costs $8,000 with a residual value of $1,000. It has an estimated useful life of 7 years. If the truck was bought on July 9 what would be the book value at the end of year 1?
Answers
Answer:
$7520.55
Step-by-step explanation:
Cost of truck = $8000
Residual value = $1000
Estimated useful life = 7 years
Depreciation = (cost of asset - salvage value) / useful life
Depreciation = (8000 - 1000) / 7
Depreciation = 7000 / 7
Depreciation = $1000
Truck was purchased on July 9, Therefore, Depreciation by the end of year one will be;
Number of days between July 9 and year end = 175 days
Daily Depreciation = $1000 / 365 = $2.739
Total Depreciation by year end = (daily Depreciation * 175 days) = $479.45.
Book value at the end of year 1 = (8000 - 479.45)
= $7520.55
Answer:
The answer is "$7,500".
Step-by-step explanation:
Formula:
In the month of July-December the depreciation:
[tex]\frac{\text{Cost-Residual}}{\text{Useful life}}\times \frac{6}{12} \\[/tex]
Cost-Residual= costs -residual value
Given:
Cost-Residual = $8, 000 - $ 1,00
= $7,000
Useful life= 7 years
Put the value in the above-given formula:
[tex]=\frac{7 000}{7}\times \frac{6}{12}\\\\= 1 000\times \frac{1}{2}\\\\= 5 00\\[/tex]
Therefore, the book value on point at the end of one year is:
= $8,000 -$ 500
= $7,500
It takes the average person 5 days, 4 hours, and 600 minutes to walk 100 miles. How many hours does it take for the average person to walk 100 miles? Show all work for solving. You will lose points if you do not use two conversion factors.
Answers
600(mins)/60(mins)=10(hours)
120+10+4= 134hours
[tex] 5 day= 120h \\ 600m = 10h \\ 120 + 10 + 4 = 134h[/tex]
Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and angle K L J is 38 degrees. Given △JKL, sin(38°) equals cos(38°). cos(52°). tan(38°). tan(52°).
Answers
Answer:
[tex]\bold{sin(38^\circ)=cos(52^\circ)}[/tex]
Step-by-step explanation:
Given that [tex]\triangle KJL[/tex] is a right angled triangle.
[tex]\angle JKL = 52^\circ\\\angle KLJ = 38^\circ[/tex]
and
[tex]\angle KJL = 90^\circ[/tex]
Kindly refer to the attached image of [tex]\triangle KJL[/tex] in which all the given angles are shown.
To find:
sin(38°) = ?
a) cos(38°)
b) cos(52°)
c) tan(38°)
d) tan(52°)
Solution:
Let us use the trigonometric identities in the given [tex]\triangle KJL[/tex].
We have to find the value of sin(38°).
We know that sine trigonometric identity is given as:
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}[/tex]....... (1)
Now, let us find out the values of trigonometric functions given in options one by one:
[tex]cos\theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}[/tex]....... (2)
By (1) and (2):
sin(38°) [tex]\neq[/tex] cos(38°).
[tex]cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}[/tex] ...... (3)
Comparing equations (1) and (3):
we get the both are same.
[tex]\therefore \bold{sin(38^\circ)=cos(52^\circ)}[/tex]
Answer:
B in EDG
Step-by-step explanation:
Simplify:
[tex] \frac{ {a}^{5} {b}^{8} }{ {a}^{4} {b}^{10} } [/tex]
HELP! answer if you can !
Answers
In general, (x^n1)/(x^n2)=x^(n1-n2). So the simplified version is a*(b^-2)=a/(b^2).
Answer:
a^5b^8/a^4b^10
= a^5-4 b^8-10
= a^1 b^-2
= a/b^2
I hope this helps
if u have question let me know in comments ^_^
PLEASE HELP URGENT AND EXPLAIN FOR 25 POINTS MUST BE CORRECT Brielle bought an apartment building for $202,444. The value of the real estate appreciated at a constant rate per year. The table shows the value of the apartment building after the first and second years: Year 1 2 Value (in dollars) $212,566.20 $223,194.51 Which function best represents the value of the apartment building after t years? f(t) = 202,444(0.05)t f(t) = 202,444(1.05)t f(t) = 212,566.20(1.05)t f(t) = 212,566.20(0.05)t
Answers
Answer:
f(t) = 202,444(1.05)^t
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)^t
A = final amount
P = principle amount
r = interest rate
t = time
Step 1: Find rate r
212,566.20 = 202,444(1 + r)¹
1.05 = (1 + r)¹
1.05 = 1 + r
r = 0.05
Step 2: Define variables
P = 202,444
r = 0.05
Step 3: Plug in variables into formula
A = 202,444(1 + 0.05)^t
A = 202,444(1.05)^t
Repost because someone answered without actually giving an answer. What is the mode of the data shown in the table? Scores: 5 12 13 18 Frequency: 3 2 5 4 A. 12 B. 51.5 C. 12.5 D. 13
Answers
Answer:
Option (D) : 13
Step-by-step explanation:
Mode is the observation which occurred the most number of time.
Therefore, mode = 13
If a = 6, which of the following is equal to a^-2?
-36
-12
1/6^2
6^2
Answers
Answer:
[tex]\frac{1}{6^{2} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
Given a = 6, then
[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]
The 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².
What is exponentiation?Exponentiation is a mathematical operation that involves two numbers, the base b, and the exponent or power n, and is pronounced as "b raised to the power of n." It is written as bⁿ and is pronounced as "b raised to the power of n."
When n is a positive integer, bⁿ = b × b × b ×...× b (n times)
and b⁻ⁿ = 1/bⁿ ...(1)
When n = 0, bⁿ = 1
How to solve this problem?Given that a = 6 and n = 2.
Using (1), we get
a⁻² = 6⁻² = 1/6²
Therefore, the 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².
Know more about exponentiation here -
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Help me with this please
Answers
Answer:
Hey there!
Point n is either -3+5 or -3-5.
Thus, the two possible values are 2 or -8.
Let me know if this helps :)
if the first step of the equation -x + 6 = 5 - 3x is "subtract 5" then what should the next step be
Answers
Answer:
The next step is add x to each side
Step-by-step explanation:
-x + 6 = 5 - 3x
Subtract 5 from each side
-x + 6-5 = 5-5 - 3x
-x+1 = -3x
Add x to each side
-x+1 = -3x+x
1 = -2x
Answer:
Step-by-step explanation:
all you need to do is solve for x right? so in that case when you subtract 5 from both sides you get -x+1=-3x
then you will add x on each side
you should now have 1=-2x
divide each side by -2 and then you will have
-1/2=x
Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14
Answers
Answer:
11
Step-by-step explanation:
4=1
14=2
24=3
34=4
40=5
41=6
42=7
43=8
44=9
45=10
46=11
You will encounter 11 4s.
The mean of 5 numbers is 11. The numbers are in the ratio 1 : 1 : 2 : 3 : 4. Find the numbers.
Answers
Answer:
5, 5, 10, 15, 20
Step-by-step explanation:
Since the mean of the 5 numbers is 11, we know that the sum of the 5 numbers is 5 * 11 = 55. If we call the numbers x, x, 2x, 3x and 4x respectively based off of the ratio, we can write:
x + x + 2x + 3x + 4x = 55
11x = 55
x = 5 so 2x = 2 * 5 = 10, 3x = 3 * 5 = 15 and 4x = 4 * 5 = 20, therefore, the numbers are 5, 5, 10, 15, and 20.
Given that
Numbers are in ratio 1:1:2:3:4 Mean of these numbers is 11 .To Find.
We have to find these five numbers.Solution .
→ Let's assume these numbers as
→ x , x , 2x , 3x and 4x
→ Mean of any observations is = Sum of observations/ Number of observations.
→ Sum of observations = x+x+2x+3x+4x
→ 11x
→ Number of observations = 5
→ Mean = 11
→ 11 = 11x/5
→ 11 (5) = 11x
→ 11(5)/11 = x
→ value of x = 5
Putting the value of x for finding all numbers .
→ 1st number = x → 5
→ 2nd number = x → 5
→ 3rd number = 2x → 10
→ 4th number = 3x → 15
→ 5th number = 4x → 20
solve for x 5(x+1)=4(x+8)
Answers
Answer:
x=27
Step-by-step explanation:
expanding the above expression we get
5x+5=4x+32
grouping numbers with coefficient of x at the left side and constant at the right side we get
5x-4x=32-5
x=27
This gives us 5x + 5 = 4x + 32.
Now subtract 4x from both
sides to get x + 5 = 32.
Now subtract 5 from both sides and x = 27.
Please answer this question now
Answers
Answer:
113 degrees
Step-by-step explanation:
Measure of arc ADCB = 58+108+60 = 226 degrees
Measure of angle B = 226/2 = 113 degrees
Answer:50
Step-by-step explanation:
what is the angle taken in clockwise direction between : (1) North- east and north- west .
Answers
Answer:
I think the answer is both
Answer
hope this helps
It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?
Answers
Answer:
0.0276
Step-by-step explanation:
The computation of the probability that the next driver is texting while driving is shown below:
= Fourth pull failure × fifth pull success
where,
Fourth pull failure is (1 - 0.52)^4
And, the fifth pull success is 0.52
Now placing these values to the above formula
So,
= (1 - 0.52)^4 × 0.52
= 0.0276
Hence, the probability is 0.0276
1-Determine a solução dos sistemas abaixo pelo método de adição: a) {x + y = 5 {2x- y=9 b) {3x - y = 10 {x + y =18 Prfvr gente
Answers
a)
X + Y = 5
2X - Y = 9
X + 2X + Y - Y = 5 + 9
3X = 14
X = 14/3Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a primeira:
X+ Y = 5
14/3 + Y = 5
Y = 5 - 14/3
Y = 1/3.........................
b)
3X - Y = 10
X + Y = 18
3X + X - Y + Y = 10 + 18
4X = 28
X = 7Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a segunda:
X + Y = 18
7 + Y = 18
Y = 18 - 7
Y = 11Without attempting to solve, how many solutions does this system of equations have? y=2x+1 −3y=6x+6 1. One Solution 2. No Solution 3. An infinite number of solutions 4. Cannot be determined without solving
Answers
Answer:
1. One Solution
Step-by-step explanation:
y=2x+1
−3y=6x+6
Divide the second equation by -3
−3y/-3=6x/-3+6/-3
y = -2x-2
The slopes are different so we know that the lines are not parallel
The will intersect at a point
There will be one solution
BRAINLIEST!!!
What are the coordinates of P?
Answers
Answer:
Step-by-step explanation:
A kite is symmetrical about its vertical axis, so
if it is a kite, P is the reflection of (b,0), so its coordinates are
(-b,0) by reflection about the y-axis.
-8 + 4m = 2. What is m?
Answers
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Hi my lil bunny!
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Let's solve your equation step-by-step.
[tex]-8 + 4m = 2[/tex]
Step 1: Simplify both sides of the equation.
[tex]4m - 8 = 2[/tex]
Step 2: Add 8 to both sides.
[tex]4m - 8 + 8 = 2 + 8 \\4m = 10[/tex]
Step 3: Divide both sides by 4.
[tex]\frac{4m}{4} = \frac{10}{4} \\m = \frac{5}{2}[/tex]
Answer : [tex]\boxed {m = \frac{5}{2} }[/tex]
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Have a great day/night!
❀*May*❀
-
What is the product?
(-3s +2)(4s-1)
Answers
Answer: -12s + -2
Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2
Answer:
-12s²+11s-2
Step-by-step explanation:
(-3s+2)(4s-1)
First you have to FOIL (First, inner, outter, last)
First: -3s × 4s
Inner: -3s × -1
Outter: 2 × 4s
Last: 2 × -1
Now you should have -12s² + 3s + 8s -2
----------------------
Next you combine your like terms
Finally you have your answer, -12s²+11s-2 .
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answers
Answer:
Option A) A = 100(1.005)^12t
Step-by-step explanation:
The formula for Total Amount obtained using compound interest is given as:
A = P( 1 + r/n) ^nt
Where
A = Total amount received or obtained after investing
P = Principal or Initial Amount invested
r = interest rate
n = rate or number of times the interest is compounded
t = time in years.
In the question we obtained this values
P = $100
r = 6% = 0.06
n = compounded monthly, we have 12 months in a year, hence, n = 12
t = t
Using the compound interest formula for Amount A,
A = P( 1 + r/n) ^nt
A = 100(1 + 0.06/12)^12 × t
A = 100(1 + 0.005)^12t
A = 100(1.005)^12t
Therefore, the value of Mari's Investment if the interest is compounded monthly is
A = 100(1.005)^12t
Hence, Option A is correct.
(2x2 - 4x + 7) + (3x3 - 9x)
Answers
Work out the value of angle x
Answers
======================================================
Explanation:
The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.
The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180
y+83+83 = 180
y+166 = 180
y = 180-166
y = 14
Angle x and y are supplementary. They form a 180 degree angle
x+y = 180
x = 180-y
x = 180-14
x = 166
As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.
Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15
Answers
3x+7=x-15
3x-x=-15-7
2x=-22
X=-11
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.
Let the number be 'x'.
The three times the number plus 7. Then the expression is given as,
⇒ 3x + 7
The number 'x' is decreased by 15. Then the expression is given as,
⇒ x - 15
Both expressions are equal to each other. Then we have
3x + 7 = x - 15
3x - x = - 15 - 7
2x = - 22
x = - 11
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
More about the solution of the equation link is given below.
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ajhejskxnkrlsncjeksuf9
Answers
The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?
Answers
Answer:
Step-by-step explanation:
y = -2x - 5
perp. slope: 1/2
y + 2 = 1/2(x + 1)
y + 4/2 = 1/2x + 1/2
y = 1/2x - 3/2
Is MNO=PQR? If so, name the congruence postulate that applies.
Given:
ME=PQ
NO=QR
MO=PR
A. Congruent - ASA
B. Congruent - SSS
C. Congruent - SAS
D. Might not be congruent
Answers
Answer:
B. Congruent - SSS
Step-by-step explanation:
Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.
ΔMNO ≅ ΔPQR due to Congruent-SSS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
Given:
In ΔMNO and ΔPQR
Side ME=Side PQ
Side NO=Side QR
Side MO=Side PR
MNO ≅PQR
Since, corresponding sides of both the triangles are congruent.
So, both the triangles are congruent by SSS Postulate.
Hence , ΔMNO ≅ ΔPQR
learn more about of congruent triangles
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solve for y: -2(5y-1)-y=-4(y-3)
Answers
Answer:
[tex]y = - \frac{10}{7} [/tex]Step-by-step explanation:
- 2(5y - 1) - y = - 4(y - 3)
Expand the terms in the bracket
That's
-10y + 2 - y = - 4y + 12
Group like terms
Send the constants to the right side of the equation and those with variables to the left side
That's
- 10y - y + 4y = 12 - 2
- 7y = 10
Divide both sides by - 7
We have the final answer as
[tex]y = - \frac{10}{7} [/tex]Hope this helps you
A dealer bought 3 gross buttons at $.38 a dozen. He sold the buttons at 5 cents each. How much was his profit per gross?(12 dozen equals one gross)
Answers
Answer:
$2.64
Step-by-step explanation:
Selling them at 5 cents each ($0.05), he could sell 1 dozen buttons for
12 * $0.05 = $0.60
As he bought them at $0.38 per dozen, the profit per dozen would be
$0.60 - $0.38 = $0.22
As 12 dozen is 1 gross, the profit per gross would be
12 * $0.22 = $2.64
3 x 12 = 36
.5 x 36 = 18.0
36 divided by .38 is about 94.7
18 - 94.7 = -76.7
ANSWER:
about -76.7
(I may have done this wrong
Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5. 1 point
Answers
Answer:
y = - 140
Step-by-step explanation:
The statement
y varies jointly as x & z is written as
y = kxzto find y when x = 7 and z = -5 we must first find the relationship between the variables
when y = - 180
z = 15
x = - 3
- 180 = k(15)(-3)
-180 = - 45k
Divide both sides by - 45
k = 4
The formula for the variation is
y = 4xzwhen
x = 7
z = -5
y = 4(7)(-5)
y = 4(-35)
y = - 140Hope this helps you
