What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
y = x + 4
y = x +
y = –5x + 4
y = –5x +
Answers
we know that
If two lines are parallel, then their slopes are the same
Step 1
Find the slope of the given line
we know that
the formula to calculate the slope between two points is equal to
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]
in this problem we have
[tex](x1,y1)=(-5,-4)\\(x2,y2)=(0,-3)[/tex]
substitute in the formula
[tex]m=\frac{(-3+4)}{(0+5)}[/tex]
[tex]m=\frac{(1)}{(5)}[/tex]
[tex]m=\frac{1}{5}[/tex]
Step 2
Find the equation of the line
we know that
the equation of the line into point-slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{1}{5}[/tex]
[tex](x1,y1)=(-2,2)[/tex]
substitute
[tex]y-2=\frac{1}{5}(x+2)[/tex]
[tex]y=\frac{1}{5}x+\frac{2}{5}+2[/tex]
[tex]y=\frac{1}{5}x+\frac{12}{5}[/tex]
therefore
the answer is
[tex]y=\frac{1}{5}x+\frac{12}{5}[/tex]
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A red gumball is 2 5/8 inches across. A green gunballnis 2 5/6 inches across and a blue gym all is 2 7/9 inches across. List the gum balls in order from smallest to largest
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Which of the following sets of numbers have a LCM of 60? a. 3, 12, 8 b. 4, 10, 12 c. 10, 8, 20 d. 15, 30, 3
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Answer:
Im pretty sure its b. 4, 10, 12
Step-by-step explanation:
Answer:
it is b. 4, 10, 12 SORRY FOR ANSWERING LIKE 4 YEARS LATER LOL
Step-by-step explanation:
Joy organized a wedding.
Guests had to choose their meal from beef, chicken or vegetarian.
1/3 of the guests chose beef
5/12 of the guests chose chicken
23 of the guests chose vegetarian
How many guests were at the wedding?
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so 23 times 4 is 92
x-2.8=9.5 What does x equal ?
Answers
Add both sides by 2.8 to get the x by its self....
x = 9.5 + 2.8
x = 12 . 3 is the answer
Simone is in a bike a thon for a fundraiser. she recives 15 dollars. for each mile she bikes if she wants to raise 510 dollars how many miles does she need to bring ke
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Which of the binomials below is a factor of this trinomial? x^2-7x-44
Answers
because
(x-11)(x+4)
when you multiply that you get x^2 - 7x -44
Answer:
C. (x -11)
Step-by-step explanation:
The given trinomial is [tex]x^2 - 7x - 44[/tex]
Let's factor it. To find factor, we need to find the factors of -44 such that when you add them, we have to get -7
-44 = -11*4
- 7 = -11 + 4
so the correct factors are -11 and 4
Now we can write the middle term - 7x = -11x + 4x
[tex]x^2 - 7x - 44 = x^2 - 11x + 4x - 44[/tex]
Now let's group the first two terms and second two terms and factor it.
= x(x - 11) + 4(x - 11)
Here (x-11) is common factor, so we can take outside and rewrite.
= (x - 11)(x + 4)
So the factors are (x - 11) and (x + 4)
Answer is C. (x -11)
a spool of ribbon has 18 feet on it. pieces measuring of 8 inches will be cut from the spool of ribbon. how many 8 inch segments will be cut from the spool of ribbon
show work
Answers
By dividing the total length by the length of the pieces, we conclude that we can make 2 of these pieces.
How many 8 inch segments will be cut?To get this, we need to divide the total length by the length of the desired pieces, and then round to the next (lowest) whole number.
Then we get:
N = 18ft/8ft = 2.25
Rounding to the next whole number we get 2, so we conclude that with 18t of ribbon we can make 2 pieces of 8ft each.
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Estimate the product of m and n. Using complete sentences, explain how you got your estimate.
Answers
Each line on the graph is equivalent to: 1/6
SO we can see that n is graphed at: 1 1/6 and m is graphed at: 2 4/6
To estimate the product, let's convert each fraction into an improper fraction.
n = 1 1/6 = 7/6
m = 2 4/6 = 16/6
Multiply the improper fractions.
7/6(16/6) = 112/36 = 3 4/16 = 3 1/9 (Simplified)
So 3 1/9 is your answer.
7/6 x 16/6 = 112/36.
You simply found out the mixed number fractions, converted them into improper fractions and multiplied them together.
You can then convert it into a mixed number which would make it 3 4/16
Hope This Helps You!
Good Luck :)
- Hannah ❤
if 152 divided by x equals 36 what would x be?
Answers
x[(152/x)] = 36x
152 = 36x
152/36 = x
38/9 = x
The only way to sober up after drinking is
Answers
The body metabolizes and eliminates alcohol at a fixed rate, which can only be sped up with time. Hydrating and eating food may make you feel better, but they do not speed up the process of becoming sober.
Explanation:The only way to sober up after drinking is to allow time for your body to metabolize and eliminate the alcohol. No amount of coffee, water, or food can speed up this process. The liver processes alcohol at a fixed rate, and it takes about one hour to metabolize one standard drink. Other factors such as sex, weight, and age can affect this rate, but ultimately, getting sober just takes time. While waiting to sober up, hydrating and eating food can make you feel better, but doesn't actually speed up the sobriety process.
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Aubrey can run at a pace of six miles per hour. running at the same rate how many miles can she run in ninety minutes
Answers
Aubrey would be able to run 9 miles in ninety minutes.
90 minutes=1.5 hours
6*1.5=9
Hope this helps
With the same rate, Aubrey can run 9 miles in 90 minutes and this can be determined by using the unitary method.
Given :
Aubrey can run at a pace of six miles per hour.
The following steps can be used in order to determine the total miles can Aubrey run in ninety minutes at the same rate:
Step 1 - The unitary method can be used in order to determine the total miles can Aubrey run in ninety minutes at the same rate.
Step 2 - Remember in 1 hour there are 60 minutes.
Step 3 - Remember according to the given data, Aubrey can run at a pace of six miles per hour. That means Aubrey can run six miles in 60 minutes.
Step 4 - If Aubrey can run 6 miles in 60 minutes then in 90 minutes she can run:
[tex]=\dfrac{6}{60}\times 90[/tex]
Step 5 - Simplify the above expression.
= 9 miles
So, with the same rate, Aubrey can run 9 miles in 90 minutes.
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1_9644=100000 rounded to the nearest hundred thousand
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When rounding 1,964,400 to the nearest hundred thousand, the answer is 1,900,000.
Explanation:When rounding 1,964,400 to the nearest hundred thousand, we look at the digit in the hundred thousands place. If it is 5 or greater, we round up. If it is less than 5, we round down. In this case, the digit is 4, so we round down. Therefore, 1,964,400 rounded to the nearest hundred thousand is 1,900,000.
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convert 220 from degrees to radians
Answers
to convert degrees to radians, multiply by π180°, since a full circle is 360° or 2π radians.220°⋅π180° radians Cancel the common factor of 20 111⋅π9 radians Multiply 111and π9 to get 11π911π9 radians
I hope this helps.
The conversion of the given degrees 220° is equal to 11π/9 radians approximately.
To convert degrees to radians, use the following formula:
radians = degrees × (π / 180)
Let's apply this formula to convert 220 degrees to radians:
radians = 220 × (π / 180)
radians = 220π / 180
Now, to simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 20:
radians = (220/20)π / (180/20)
radians = 11π / 9
Therefore, 220 degrees is equal to approximately 11π/9 radians.
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When solving for a system of equations, if you get an answer of 6=0, what does this solution mean regarding the solution to the system ?
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Write the polynomial in standard form and identify the degree and leading coefficient of the polynomial.
-x + 19x2 + 1
-x + 19x2 + 1 Degree:1; Leading Coefficient: -1
19x2 - x + 1 Degree: 19; Leading Coefficient: 1
19x2 = x + 1 Degree: 2; Leading Coefficient: 19
19x2 - x + 1 Degree: 2; Leading Coefficient: 19
Answers
19x^2 - x + 1 satisfies these requirements.
The leading term is 19.
A kennel has 115 dogs in total some are puppies and some are adult dogs.The ratio of puppies I to adult dogs in a kennel is 2:3 How many puppies are there?
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heather has 500 dollars in her savings account she withdraws 20 dollars per week for gas write an eqaution heather can use to see how many week it will take her to have a balance of 220 dollars
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I think this is right
identify an equation in point-slope form for the line parallel to y=1/2x-7 that passes through (-3,-2)
Answers
parallel has same slope = 1/2
point-slope form equation
y + 2 = 1/2(x +3)
answer
y + 2 = 1/2(x +3)
To find an equation in point-slope form for a line parallel to y=1/2x-7 that passes through (-3,-2), we can use the fact that parallel lines have the same slope. The equation of the parallel line is y = (1/2)x + 5/2.
Explanation:To find an equation in point-slope form for a line parallel to y = (1/2)x - 7 that passes through the point (-3, -2), we need to use the fact that parallel lines have the same slope.
The given line has a slope of 1/2, so the parallel line will also have a slope of 1/2.
Using the point-slope form y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope, we substitute the values to get the equation y - (-2) = (1/2)(x - (-3)). Simplifying this equation gives us the final answer: y = (1/2)x + 5/2.
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What does X equal?
15= x/6 - 1
Answers
first add the one to the 15 then multiply it by 6 and you get 96
First, add 1 to both sides, get 16=x/6.
Then, multiply both sides by 6.
Get your answer of x=96
Hope this helps
To make lemonade, you used one gallon of water, four quarts of lemon juice, and 32 ounces of honey. How many quarts of lemonade did you make?
Answers
We already know there are 4 quarts of lemon juice.
And there are 32 ounces in a quart, so that would equal 1 quart of honey.
So all you need to do now is add 4 quarts, 4 quarts, and 1 quart to get 9 quarts. You would get 9 quarts of lemonade.
I hope this helped you! :)
To make lemonade, using one gallon of water, four quarts of lemon juice, and 32 ounces of honey, you would make 34 quarts of lemonade.
Explanation:First, notice that gallons are larger than quarts. You are moving from a larger unit of measure to a smaller unit of measure. This means you will need to multiply. There are 4 quarts in a gallon, so your conversion factor is 4. Now, multiply. Take the given number of gallons and multiply by 4.
8(1/2) x 4 = (17/2) x (4/1) = 68/2 = 34
The answer is 8(1/2) gallons - 34 quarts.
what is 4.333333333 as a fraction.
I need this answer right now!!
Answers
Which expression represents the distance between −14.6 and −5.2 on the number line?
Answers
Answer:
9.4
Step-by-step explanation:
We are given that two integers -14.6 and -5.2
We have to find distance between -14.6 and -5.2.
Difference between =-5.2-(14.6)
Difference=-5.2+14.6=9.4
Distance is the absolute value of 9.4
Therefore,
[tex]\mid 9.4\mid =9.4[/tex]
Distance between -14.6 and -5.2 is 9.4
Evaluate the function rule for the given value. f(x) = 3x for x = –5
Answers
Final answer:
To evaluate the function f(x) = 3x for x = –5, substitute in the value to get f(–5) = –15. For the second part, none of the options perfectly match the description, but y = x² is closer as it is a quadratic function.
Explanation:
To evaluate the given function rule f(x) = 3x for x = –5, you simply substitute –5 in for x in the function. Here is the calculation:
f(–5) = 3 * (–5) = –15
Now, regarding the second part of the question, at x = 3, the function f(x) has a positive value with a positive slope that is decreasing in magnitude with increasing x. The function y = x² fits this description because it is a quadratic function where the slope (the derivative) is 2x. At x = 3, the slope is positive (2 * 3 = 6), and as x increases, the slope increases, but the rate of increase in slope (the second derivative) is constant, not decreasing. Hence, neither option a nor b perfectly fits the condition of a positive slope that is decreasing in magnitude with increasing x. However, option b, y = x², is closer to the description compared to the linear option a, y = 13x, which has a constant slope.
Price Tax Rate Tax
$199 5%
$4,750 6%
$99.50 4.7%
$19.88 6.9%
$8.95 7.2%
$14.27 6.8%
$544.38 4.2%
$7.49 8.1%
$28.56 7.5%
$14.98 4.9%
Answers
199 *0.05 = 9.95
4750 * 0.06 = 285
99.50 * 0.047 = 4.68
19.88 * 0.069 = 1.37
8.95 * 0.072 = 0.64
14.27 * 0.068 = 0.97
544.38 * 0.042 = 22.86
7.49 * 0.081 = 0.61
28.56 * 0.075 = 2.14
14.98 * 0.049 = 0.73
You measure the width of a doorway and find that it is 0.93 m wide. Find the greatest possible error of your measurement
Answers
Answer:
0.5 m
Step-by-step explanation:
The greatest possible error is 1/2 of the unit you are measuring in.
We are measuring in meters; this means the greatest possible error is 0.5 m.
Answer:
The right answer is 0.005m
Step-by-step explanation:
The greatest possible error in a measurement is the half of the measuring unit, it is one hald of the precision unit.
To solve it first you should recognize the measurement unit, in this case meters.
Then, because it is 0.93, you should notice that the last decimal occupies the place of the hundredth, so the GPE might be: 0.01/2 equal to 0.005, your answer.
one integer is 30 more than another integer if the difference between the larger and twice the smaller is 8 find the integers
Answers
x = larger int
y = smaller int
---
x - y = 30
x - 2y = 8
---
put the system of linear equations into standard form
---
x - y = 30
x - 2y = 8
---
solution:
x = larger int = 52
y = smaller int = 22
---
All but two of the here amid’s built by the ancient Egyptians have faces inclined at 52° angles. Suppose an archaeologist discovers the ruins of a pyramid. Most of the pyramid has eroded, but the length of a side of the square base is 82 m. How tall was the pyramid, assuming it’s faces were inclined at 52°? Round your answer to the nearest meter.
A) 25m
B) 32m
C)52m
D) 105m
Answers
One of its sides is the height of the pyramid, with length H. The other side is half of the square base, so its length is 81 m. The hypotenuse of this triangle is the height of one of the faces.
By right triangle trigonometry,
[tex]\displaystyle{ \tan52^o= \frac{H}{41 \ m } [/tex],
thus,
[tex]H=\tan52^o\cdot41 \ m=1.28 \cdot41 \ m=52 \ m[/tex].
Answer: C) 52 m
5 (9/12 - 1/4) + 0.5
Answers
5 (9/12 - 3/12) + 0.5
5 (6/12) + 0.5
5(2.5) + 0.5
12.5 + 0.5
13
next we want to subtract 3/4 - 1/4 and we get 2/4
next we want to multiply 5 * 2/4 and we get 10/4
and lastly we want to add 5/2 + 0.5 to get our answer
Answer: 3
Find all the real cube roots of 1000/27
10/3
10/9
-10/9
-10/3
Answers
1000
100 * 10
10 * 10 * 10
27
9 * 3
3 * 3 * 3
cube root (1000/27) = 10/3
Answer:
10/3
Step-by-step explanation:
how do you read this number. 7,654,321?