write the equation of the line parallel to the given line P(-1,3) y=4x-7
Answers
Answer:
Step-by-step explanation:
y = 4x - 7
Slope of line is 4.
Slope of any parallel to line is also 4.
Point-slope equation for line of slope 4 through (-1,3):
y-3 = 4(x+1)
Related Questions
Write an equation for the nth term of the geometric sequence 5,30,180,1080
Answers
Answer: \(a_{n}\)=5*\(6^{n-1}\)
Step-by-step explanation:
Please help this is 9 grade algebra…Write point slope form for the question of each line through the given point
(4,-3)
Answers
Answer:
y + 3 = 1/4(x -4)
Step-by-step explanation:
y - y = m (x - x)
y - -3 = 1/4 ( -4)
y + 3 = 1/4 ( x -4)
Solve the following equations: e^−x^−e^x =3
Answers
We have to find the value of x for the given equation e^(−x^)−e^x =3. Here we can use a small trick to get the solution. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3.
This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.
Given equation is e^(−x^)−e^x =3.We can replace e^-x with 1/e^x.Now the equation is e^(x) - 1/e^(x) = 3.
Let's take e^x as a variable and solve the equation:e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0.
This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.
We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2a.
Substituting the values, we get:x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2Hence the value of x is x = [3 ± sqrt(13)]/2.
We can solve the given equation e^(−x^)−e^x =3 using a small trick. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3. This is a quadratic equation in the form ax^2 + bx + c = 0.
Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.We have, e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.
We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2aSubstituting the values, we get:
\(x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2So the value of x is x = [3 ± sqrt(13)]/2.\)
Hence the solution of the equation e^(−x^)−e^x =3 is x = [3 ± sqrt(13)]/2.
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Circles. For transition math. Please help!
Answers
Hiiooo! Can someone please help with this!❤️:)
Answers
why is the graph dashed line Rather than solid line?
Answers
Answer: Inqualities that use < and> with a line under them means solid line
Step-by-step explanation: whereas < and> by themselves is dashed
Let f(x) be a quadratic polynomial such that f(-4) = -22, f(-1)=2, and f(2)=-1. Let g(x)=f(x)^16. Find the sum of the coefficients of the terms in g(x) with even exponents. For example, the sum of the coefficients of the terms in -7x^3 + 4x^2 + 10x - 5 with even exponents is (4) + (-5) = -1.
Answers
Answer:
-2
Step-by-step explanation:
Jo is going on an 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday. How many different schedules are possible?
Answers
Answer:
6 ways
Step-by-step explanation:
Given
Number of Sports: 3
Required
Determine the total number of schedules
Since, there are 3 sports and the schedule is in no particular order.
The number of schedules is calculated as thus:
\(Number = n!\ ways\)
Where:
\(n = 3\)
So, we have:
\(Number = 3 * 2 * 1\ ways\)
\(Number = 6\ ways\)
Answer:
882
Step-by-step explanation:
Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882
Consider ∑
h=0
k
2h where k is an odd number. How many numbers are in this sequence? Use / to represent division and to separate a numerator from denominator. How many pairs of real numbers are in this sequence? What is the sum of the first and last value? Use / to represent division and to separate a numerator from denominator What is the summation equal to
Answers
The number of numbers in the sequence is k/2.
The sequence starts with k/2, then k/4, then k/6, and so on. Since k is an odd number, the sequence will stop when we reach 0. Therefore, the number of numbers in the sequence is k/2.
The number of pairs of real numbers in the sequence is k/4.
This is because for every number in the sequence, there is a corresponding number that is its negative. For example, if k = 1, then the sequence is 1/2, -1/2, 1/4, -1/4, and so on. There are k/4 numbers in the sequence, and half of them are positive and half of them are negative.
The sum of the first and last value in the sequence is k/2.
This is because the first value in the sequence is k/2, and the last value in the sequence is -k/2. Since k is an odd number, k/2 is not equal to -k/2. Therefore, the sum of the first and last value in the sequence is k/2.
The summation is equal to 0.
This is because the terms of the summation cancel each other out. For example, if k = 1, then the summation is 1/2 - 1/2 + 1/4 - 1/4 + ... = 0.
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What is the equation for a circle centered at the origin (0,0)?
Answers
Answer: r² = x² + y²
Step-by-step explanation:
select and arrange the conversion factors needed to convert 312.5 μci to millicuries (mci). then, perform the calculation.
Answers
312.5 μCi is equivalent to 0.3125 mCi.
Conversion factors refer to a relationship between the value in one unit to the value in another unit. It is used to convert a quantity expressed in one unit to another unit.
The following conversion factors are needed to convert 312.5 μCi to millicuries (mCi):1 mCi = 1000 μCiUsing the above conversion factor, we can write the given value of 312.5 μCi as:312.5 μCi = (312.5/1000) mCi= 0.3125 mCi
Therefore, the value of 312.5 μCi can be converted to millicuries (mCi) using the above conversion factor. We can rearrange the formula as shown below.312.5 μCi × 1 mCi / 1000 μCi= (312.5/1000) mCi= 0.3125 mCi
Therefore, 312.5 μCi is equivalent to 0.3125 mCi. The calculation can be summarized in a sentence as follows: To convert 312.5 μCi to millicuries (mCi), we use the conversion factor 1 mCi = 1000 μCi.
The calculation shows that 312.5 μCi is equivalent to 0.3125 mCi. The answer can be expressed as follows: 312.5 μCi = 0.3125 mCi.
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Find the missing side of each triangle
Answers
Pythagorean Theorem:
a²+b²=c², where a=leg 1, b=leg 2, and c=hypotenuse.
Define variables:
Leg 1=√10km, leg 2=x, and hypotenuse=√15. So, a=√10, b=x, c=√15.
Substitute variables in and solve for undefined variable:
(√10)²+(x)²=(√15)²
Simplify:
10+x²=15
Squares are inverse operations of square roots, so they cancel each other out, or “undo” each other. For example: 10•10=100 and √100=10, so √10²=10. Or, 6•6=36, so √36=6, thus √6²=6.
Solve for x:
Subtract 10 from both side:
x²=15-10
x²=5
Take the square root of x² to both sides so we are left with just x. Again, this works because x•x=x², so √x²=x, thus √x²=x. And, whatever we do to one side, we must do to the other to keep the equation balanced.
√x²=√5
x=√5km
Answer:
Choice A.): x=√5km
Hal learns the folowing a falcon travels about 0. 3 kilometers in 10 seconds a worm travels about 2 centimeters in 10 seconds about how much farther can a falcon travel than a worm in 10 seconds
Answers
A falcon can travel 29,998 centimeters farther than a worm in 10 seconds.
Hal learns that a falcon travels about 0.3 kilometers in 10 seconds, and a worm travels about 2 centimeters in 10 seconds. To determine how much farther a falcon can travel than a worm in 10 seconds, we need to convert the distance traveled by the falcon from kilometers to centimeters.1 kilometer = 100,000 centimeters. So, 0.3 kilometers = 0.3 x 100,000 = 30,000 centimeters. Therefore, a falcon travels 30,000 centimeters in 10 seconds .A worm travels 2 centimeters in 10 seconds. To find out how much farther the falcon travels than the worm in 10 seconds, we need to subtract the distance the worm travels from the distance the falcon travels.30,000 - 2 = 29,998
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what percent of 145 is 85? round your answer to the nearest tenth
Answers
If we measured the heights of different plants and got 50”, 55”, 48”, 50” and 52”. What
would be the average height?
a) 50” b) 51” c) 48” d) 255”
Answers
Answer:
B
Step-by-step explanation:
50+55+48+50+52=255
255/5=51
Anwser 51
which equation does the graph below represent?108642-5 -4 -3 2-1021 23 454-6-8-10Ly= 2x1уX212.y. 2x
Answers
The line passes through the point (0,0) and point (1,2).
PLEASE HELP !!! 25 POINTS!Perform the following conversion.
0.09 km to dam
0.000 009 dam
0.000 009 dam
900 dam
900 dam
90 000 dam
90 000 dam
9 dam
9 dam
Answers
Answer:
9 dam
Step-by-step explanation:
1 km = 100 dam
0.09 km = 0.09 × 100
= 9 dam
∴ 0.09 km = 9 dam
Maria stated that 5/6 is between 4/5 and 6/7
Answers
Answer:
It's true, if that's what your asking.
Step-by-step explanation:
5/6 = 0.833 to 3 sig.fig.
4/5 = 0.800 to 3 sig.fig.
6/7 = 0.857 to 3 sig.fig.
0.833 is more than 0.800 and less than 0.857.
how many solutions does 3(4x - 2) = -12x - 6 have
Answers
12x-6 = -12x-6
24x = 0
x = 0
So there’s only One solution
find the volume of a cylinder whose height is triple the radius. let r and h denote the radius and height respectively.
Answers
The volume of the cylinder is \(\frac{\pi h^{3}}{9}\) or \(3\pi r^{3}\).
According to the question:
\(radius = r\\height = h = 3r\)
We know that the volume of a cylinder having radius \(r\) and height \(h\) is:
\({Volume = \mathbf{\pi r^{2}h}\)
Substitute the given values for us in the above equation:
\(Volume =\pi r^2\times3r\)
\(Volume = 3\pi r^3\)
If we want the answer in terms of \(height(h)\), we can substitute \(r\) instead of \(h\).
By doing this we get:
\(Volume = \pi (\frac{h}{3})^2h\)
\(Volume = \pi \frac{h^3}{9}\)
Therefore, the volume of the cylinder is \(\frac{\pi h^{3}}{9}\) or \(3\pi r^{3}\).
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set up the algebra tiles for each equation and take a snippet of it to submit, along with the work and the answer. 6x + 2 = 4x – 8
Answers
What is the slope of the line that passes through the points 9,-1 and 4,11 simplest form
Answers
Answer:
slope = - \(\frac{12}{5}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (9, - 1 ) and (x₂, y₂ ) = (4, 11 )
m = \(\frac{11-(-1)}{4-9}\) = \(\frac{11+1}{-5}\) = - \(\frac{12}{5}\)
Select the correct answer
a mine extracts 2 metric tons of coal in an hour. the
number of hours spent mìning, which expression re
oa. the expression is at. the amount of ore
ob. the expression
Answers
The expression that represents the amount of ore sold and how much ore can the mine sell after extracting ore for 12 hours is option B: The expression is 2t−14t. The amount of ore is 21 metric tons.
The reasoning for the selection of the expression and amount of ore can the mine sell after extracting ore for 12 hours is as follows.
1: Determine the amount of coal used for electricity generation in terms of t.
The mine uses 14 tons of coal every hour, so the total amount used for electricity generation is 14t.
2: Determine the total amount of coal extracted in terms of t.
The mine extracts 2 tons of coal every hour, so the total amount extracted is 2t.
3: Calculate the amount of coal sold in terms of t.
To find the amount of coal sold, subtract the amount used for electricity generation from the total amount extracted: 2t - 14t.
4: Determine the amount of coal sold after 12 hours.
Substitute t = 12 into the expression:
2(12) - 14(12) = 24 - 168 = -144.
However, since the mine uses 14 tons of the extracted coal every hour, it cannot sell more coal than it extracts. So, the correct expression should be 2t - 14 (without the t for the amount used for electricity generation).
5: Calculate the amount of coal sold after 12 hours using the corrected expression.
Substitute t = 12 into the expression: 2(12) - 14 = 24 - 14 = 10 metric tons.
The correct expression should be 2t - 14, and the amount of coal the mine can sell after extracting coal for 12 hours is 10 metric tons. Hence, the correct answer is option B.
Note: The question is incomplete. The complete question probably is: A mine extracts 2 metric tons of coal in an hour. The mine uses 14 ton of the extracted coal every hour to generate electricity for the mine and sells the rest. If t is the number of hours spent mining, which expression represents the amount of ore sold? How much ore can the mine sell after extracting ore for 12 hours? A) The expression is 2t−1/4t. The amount of ore is 23 3/4 metric tons. B) The expression is 2t−1/4t. The amount of ore is 21 metric tons. C) The expression is 2t+1/4t. The amount of ore is 24 metric tons. D) The expression is 2t+1/4t. The amount of ore is 24 1/4 metric tons.
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I need to show the work. Please help
Answers
Answer:
x=5
Step-by-step explanation:
it all adds up to 180 so set (9x+2)+133=180
-133=-133
47
9×5=45+2=47=47
Answer:
5
Step-by-step explanation:
9x + 2 + 133 = 180 ...... if the two lines are parallel the consecutive interior angles are supplemetary.
9x + 135 = 180
9x = 180 - 135
9x = 45
\( \frac{9x}{9} = \frac{45}{9} \)
x = 5
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Find the mode of the following data: 56, 74, 24, 56, 27, 56
Answers
Mode is the number that occurs the most so here the mode is 56
The community center has a pottery class each month each student pays $15 for the class and $27 for materials this month the pottery class brought in a total of $715 how many students are in the class the month?
Answers
Answer:17
Step-by-step explanation:
simplify 3^5 divided 3^3
Answers
Answer:
3^2 or 9
Step-by-step explanation:
When dividing exponents with the same base, we subtract the exponents
3^5 ÷ 3^3
3^ (5-3)
3^2
9
2/5 divided by 1/4= 2/5 x 4/1 =
Answers
Answer: 8/5
Step-by-step explanation:
2/5 * 4 = (2*4)/5 = 8/5
Answer:
1/10
Step-by-step explanation:
2/5÷1/4=2/5×4/1=2/5×4/1=1/10
Help quick pls
The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'
Answers
Answer:
it must be 21
Step-by-step explanation:
I have very fast I think giving test just thank the answer after test mark me brainliest
Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used? Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used?
Kaleigh
4(3x + 2) = 8x + 4
12x + 8 = 81 +4
4x = -4
x = -1
Destiny
4(3x + 2) = 8x + 4
4(3x + 2) 8x + 4
4
4
3x + 2 = 2x + 1
x = -1
Answers
Answer:
who's asking?
Step-by-step explanation: