Find the equation of a line whose x intercept is 5 and y intercept is 2.
Answers
Answer:
[tex]y = - \frac{2}{5} x + 2[/tex]
Related Questions
In a recent study, volunteers who had 8 hours of sleep were three times more likely to correctly on a math test than were sleep-deprived participants.
1) Identify the sample used in the study.
A) The sample is the math questions in the study.
B) The sample is the responses of the volunteers in the study.
C) The sample is the amount of sleep the volunteers got in the study.
D) The sample is the sleep-deprived participants in the study.
2) What is the sample's population?
A) The population is the collection of all the math questions from the math test.
B) The population is the collection of the responses of all individuals who completed the math test.
C) The population is the collection of all the individuals who completed the math test.
3) Which part of the study represents the descriptive branch of statistics?
Answers
1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study
2) What is the sample's population: B) The population is collected of the response of all individuals who completed the math test
3) Which part of the study represents the descriptive branch of statistics:
individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.
hope i helpd
-lvr
What is the first step to circumscribe a circle around a triangle? a Find the diameter b Find the angle bisectors c Find the perpendicular bisectors d Draw the circle
Answers
Answer:
Step 1-Construct the perpendicular bisector of one side of the triangle.
Step 2-Construct the angle bisector of another side of the triangle.
Explanation:
A circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet
Lucy is tiling her bathroom. She buys white and blue tiles in the ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.If she buys 16 blue tiles how much does Lucy spend on tiles in total?
Answers
Answer:
* Lucy spent £289.2 on tiles *
Step-by-step explanation:
We know that the tiles are present in a 13 to 2 ratio ( 13 : 2 ) so if there are 16 blue tiles that she buys, the number of red tiles bought should be represented the following -
[tex]\frac{13}{2}[/tex] = [tex]\frac{x}{16}[/tex] ... now this is only assuming that the 13 : 2 ratio is meant by white : blue tiles. Let's solve through cross - multiplication,
13 [tex]*[/tex] 16 = 2[tex]x[/tex],
208 = 2[tex]x[/tex],
[tex]x[/tex] = 104 white tiles
So if there are 104 white tiles, and 16 blue tiles, we can determine the total amount Lucy spent on tiles by associating the cost to the type of tile,
£2.80 [tex]*[/tex] 16 = £44.8,
£2.35 [tex]*[/tex] 104 = £244.4,
Total Amount Lucy Spent on Tiles = £44.8 + £244.4 = £289.2
Lucy spent £289.2 on tiles
The calculation is as follows;[tex]\frac{13}{2} = \frac{x}{16}\\\\ 13\times 16 = 2x\\\\ 2 x = 208[/tex]
x = 104 while tiles
Now the total amount should be
[tex] 2.80 \times 16 = 44.8\\ And, \\ 2.35 \times 104 = 244.4[/tex]
So,
= 44.8 + 244.40
= 289.2
Learn more: https://brainly.com/question/10283285?referrer=searchResults
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply. x = one-half y minus 3 2 x minus y = negative 6 2 x minus y = negative 3 x = one-half (y minus 3) y = 10 (x minus 1)
Answers
Answer: x=one-half y minus
Step-by-step explanation:
Answer:
x=1/2 y-3
Step-by-step explanation:
He length of an alligator in a zoo is 14 5/8 feet. The everglades national park lists the longest alligator ever recorded in florida at 17 5/12 feet. Which is the difference in their lengths?
Answers
Answer:
2 and 1/6 feet
Step-by-step explanation:
To do this you would just put aside 17 and 14 and you would subtract 5/12 by 5/8. To subtract these you would just find the lcm which is 48 and that would be denominator and to make the top the same as the bottom you would just multiply how much it took the denominator and multiply the numerator. So to subtract them you would get 20/48 for 5/12 and 30/48 for 5/8. When you subtract them you get -10/12 so then you will subtract 17 and 14 which is 3 then you will subtract 3 - 10/12 and you would get 2 and 2/12 which can simplify to 2 1/6 feet
The difference in the lengths of alligators in zoos and Florida is 2.79 feet.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Given that
The length of an alligator in a Zoo = 14 5/8 feet.
The length of an alligator in Florida = 17 5/12 feet.
Convert fractions into decimals, and we get
The length of an alligator in a Zoo = 14.625 feet.
The length of an alligator in Florida = 17.416 feet.
So the difference in their lengths = 17.416 - 14.625
So the difference in their lengths = 2.79 feet
Therefore, the difference in the lengths of alligators in zoos and Florida is 2.79 feet.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
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[4 + (3 – 1)]3 = ? A. 12 B. 32 C. 64 D. 128 E. 216
Answers
Answer:
18
Step-by-step explanation:
Answer:
18.
Step-by-step explanation:
[4 + (3 - 1)] * 3
= (4 + 2) * 3
= 6 * 3
= 18
Hope this helps!
The hypotnuse of a right triangle is three times the length of its first leg. Theblength of the other leg is four feet. Find the lengths of the first leg and the hypotnduse and enter them in the below squares in this order. For non-integer answer(s), round your answer(s) to the nearest tenth.
Answers
Answer:
Length of first leg = 1.4feet
Hypotenuse = 4.2feet
Explanation:
Since we are dealing with a right angled triangle, we will apply the Pythagoras theorem to solve the question. According to Pythagoras theorem, the square of the hypotenuse is equal to the sum if the square of the other two legs.
Mathematically, a² = b²+c² where a is the hypotenuse and b, c are the other two legs.
From the question, since hypotenuse of a right triangle is three times the length of its first leg, then a = 3b.
Also the other leg is four feet i.e c= 4
Substituting this values into the Pythagoras formula;
a²=b²+c²
(3b)² = b²+4²
9b² = b²+16
9b²-b² = 16
8b² = 16
b² = 16/8
b² = 2
b = √2
b = 1.4
Since a = 3b
a = 3(1.4)
a = 4.2
Hence, the length of the first leg is 1.4feet and that of the hypotenuse is 4.2feet both to the nearest tenth.
Please answer this question now
Answers
Answer:
16.2
Step-by-step explanation:
use Pythagorean theorem
a^2 + b^2 = c^2
15^2 + 6^
225 + 36 = 261
take the sq root of 261
To get to the park from her house, Rachel walked 4 kilometers due north and then 3 kilometers due west. On the way back, she cut across a field, taking the shortest
possible route home,
How far did Rachel walk on the round-trip?
Answers
Answer:
12 km
Step-by-step explanation:
Using the Pythagorean Theorem, you know that 3^2 + 4^2 = x^2, so 9 + 16 = x^2, which means that x = the square root of 25, which is 5. Then you add all three lengths of the triangle together to get the round trip. 3 + 4 + 5= 12.
The equation of a line that is parallel to y = -3x + 6 and passes through the point (0, -4) please help this is an emergency I need this ASAP please!!!!
Answers
Answer:
y = - 3x - 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 )
y = - 3x + 6 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes.
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4, thus
y = - 3x - 4 ← equation of parallel line
5. Lisa sold costume jewelry at a bazaar. The
first hour she sold 2 bracelets and 3 rings
for a total of $26. Later a customer bought
2 rings and paid $12. All bracelets were
priced the same. All rings were priced the
same. How much did a bracelet cost?
Answers
Answer:
$4
Step-by-step explanation:
2 Bracelets + 3 rings = $26
2 rings = $12
3 rings = x
To get the cost of 1 ring you divide 12 by 2 and the answer you get is 6.
The total cost of the 3 rings is $18( $6*3)
Then you subtract the cost of both 2 bracelets and 3 rings($26) from the cost of 3 rings($18). The answer is $8. ( THIS IS THE COST OF 2 BRACELETS)
1 BRACELET= $4( $8/2)
Write an expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at
the top
Answers
Answer:
ΔE =12.3 - (-9.6) which is equivalent to 21.9 feetStep-by-step explanation:
Give the distance covered by Vivian at the bottom of the elevation to be -9.6 feet and the distance covered by Vivian at the top of the elevation to be 12.3 feet, Vivian's change in elevation will be expressed as the difference in the elevation at the bottom and the elevation at the top.
Let the initial elevation Ei = -9.6 feet
Final elevation Ef = 12.3 feet
Change in elevation ΔE = Ef - Ei
Change in elevation ΔE =12.3 - (-9.6)
Change in elevation ΔE = 12.3 + 9.6
Change in elevation ΔE = 21.9 feet
Hence the expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at the top is ΔE =12.3 - (-9.6) which is equivalent to 21.9 feet
Answer:
12.3 – (-9.6)
Step-by-step explanation:
Its the answer they provided
How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0
Answers
Answer:
[tex]\displaystyle x = \frac{\pi}{3} +k\, \pi[/tex] or [tex]\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi[/tex], where [tex]k[/tex] is an integer.
There are three such angles between [tex]0[/tex] and [tex]2\pi[/tex]: [tex]\displaystyle \frac{\pi}{3}[/tex], [tex]\displaystyle \frac{2\, \pi}{3}[/tex], and [tex]\displaystyle \frac{4\,\pi}{3}[/tex].
Step-by-step explanation:
By the double angle identity of sines:
[tex]\sin(2\, x) = 2\, \sin x \cdot \cos x[/tex].
Rewrite the original equation with this identity:
[tex]2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0[/tex].
Note, that [tex]2\, (2\, \sin x \cdot \cos x)[/tex] and [tex](-2\, \sin x)[/tex] share the common factor [tex](2\, \sin x)[/tex]. On the other hand, [tex]2\sqrt{3}\, \cos x[/tex] and [tex](-\sqrt{3})[/tex] share the common factor [tex]\sqrt[3}[/tex]. Combine these terms pairwise using the two common factors:
[tex](2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0[/tex].
Note the new common factor [tex](2\, \cos x - 1)[/tex]. Therefore:
[tex]\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0[/tex].
This equation holds as long as either [tex]\left(2\, \sin x + \sqrt{3}\right)[/tex] or [tex](2\, \cos x - 1)[/tex] is zero. Let [tex]k[/tex] be an integer. Accordingly:
[tex]\displaystyle \sin x = -\frac{\sqrt{3}}{2}[/tex], which corresponds to [tex]\displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi[/tex] and [tex]\displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi[/tex].[tex]\displaystyle \cos x = \frac{1}{2}[/tex], which corresponds to [tex]\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi[/tex] and [tex]\displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi[/tex].Any [tex]x[/tex] that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:
[tex]\displaystyle x = \frac{\pi}{3} + k \, \pi[/tex] (from [tex]\displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi[/tex] and [tex]\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi[/tex], combined,) as well as[tex]\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi[/tex].URGENT! PLEASE help me! Full solutions please, and no nonsense answers.
Answers
Answer:
[tex]\frac{1}{3x+52}[/tex]
Step-by-step explanation:
Given
[tex]\frac{\frac{1}{x^2+51x+50} }{\frac{2}{x+50}+\frac{1}{x+1} }[/tex]
= [tex]\frac{\frac{1}{(x+50)(x+1)} }{\frac{2(x+1)+x+50}{(x+50)(x+1)} }[/tex]
= [tex]\frac{1}{(x+50)(x+1)}[/tex] × [tex]\frac{(x+50)(x+1)}{2x+2+x+50}[/tex] ← cancel (x + 50)(x + 1) on numerator/denominator
= [tex]\frac{1}{3x+52}[/tex]
Answer:
[tex]\Large\boxed{\sf \bf \ \ \dfrac{1}{3x+52} \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
We need to do something with that, right !?
[tex]\dfrac{\left(\dfrac{1}{x^2+51x+50\right)}}{\left(\dfrac{2}{x+50}+\dfrac{1}{x+1}\right)}[/tex]
What can we say from [tex]x^2+51x+50[/tex] ?
The sum of the zeroes is -51=(-1)+(-50) and the product is 50 = (-1) x (-50), so we can factorise. Let's do it !
[tex]x^2+51x+50=x^2+50x+x+50=x(x+1)+50(x+1)=(x+1)(x+50)[/tex]
That's a pretty cool first result !
Now, let's play with the denominator.
[tex]\dfrac{2}{x+50}+\dfrac{1}{x+1}\\\\\text{*** We put on the same denominator which is (x+1)(x+50) ***}\\\\=\dfrac{2(x+1)}{(x+50)(x+1)}+\dfrac{x+50}{(x+1)(x+50)}\\\\=\dfrac{2(x+1)+x+50}{(x+50)(x+1)}\\\\=\dfrac{2x+2+x+50}{(x+50)(x+1)}\\\\=\dfrac{3x+52}{(x+50)(x+1)}\\[/tex]
We are almost there.
Let's combine all these results together !
[tex]\dfrac{\left(\dfrac{1}{x^2+51x+50\right)}}{\left(\dfrac{2}{x+50}+\dfrac{1}{x+1}\right)}\\\\\\=\dfrac{\left(\dfrac{1}{(x+1)(x+50)\right)}}{\left(\dfrac{3x+52}{(x+50)(x+1)}\right)}}\\\\\\=\large\boxed{\dfrac{1}{3x+52}}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Salma received a $ 70 gift card for a coffee store. She used it in buying some coffee that cost $ 8.28 per pound. After buying the coffee, she had $ 28.60 left on her card. How many pounds of coffee did she buy? Pounds
Answers
Answer:
5 pounds.
Step-by-step explanation:
You can start by subtracting 28.60 from 70 which equals 41.4.
Now you just need to divide 41.4 by 8.28 which equals 5.
So, Salma bought 5 pounds of coffee.
Hope this helps! <3
PLEASE HELP. YOU NEED TO FIND SLOPE. THANK YOU!
Answers
Answer:
5
Step-by-step explanation:
Due to the direction the line is facing it can be concluded that its slope is positive.
You need two definite points on the line to find the slope.
(x¹,y¹) ( x²,y²)
Points (5,20) (0, -5)
Slope = (y² - y¹) ÷ (x² - x¹)
= (-5 - 20) ÷ (0 -5)
= (-25) ÷ (-5)
= 5
Have a great day!
simplify 4551 * 5541
Answers
Answer:
25,217,091
Step-by-step explanation:
4551 * 5541 = 25,217,091
Answer:
4551*5541=25217091
Step-by-step explanation:
A walking path across a park is represented by the equation y=-3x - 3.A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3,6). Identify the equation that represents the new path.
Answers
Answer:
[tex]y=\frac{1}{3} x+7[/tex]
Step-by-step explanation:
We need to find the equation of a line perpendicular to [tex]y=-3x-3[/tex], which passes through the point (-3, 6).
Recall that a line perpendicular to a line of the form: [tex]y=mx+b[/tex], must have a slope which is the opposite of the reciprocal of the slope of the original line. that is, a slope of the form;
[tex]slope=-\frac{1}{m}[/tex]
Then, in our case, since the original line has slope "-3", a perpendicular line to it should have a slope given by:
[tex]slope=-\frac{1}{-3} =\frac{1}{3}[/tex]
We now know the slope, and also a point for this new line, so we use the point-slope form of a line:
[tex]y-y_0=m_\perp\,(x-x_0)\\y-6=\frac{1}{3} (x-(-3))\\y-6=\frac{1}{3} x+\frac{3}{3} \\y-6=\frac{1}{3} x+1\\y=\frac{1}{3} x+7[/tex]
Find the Equation of the Parallel Line
of
Instructions: Find the equation of the line through point (-1, 4) and parallel to
5x +y = 4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for ).
y =
Answers
Answer:
y = -5x - 1
Step-by-step explanation:
Let the equation of a line parallel to the given line is,
y - y' = m(x - x')
Where m = slope of the line
And line passes through (x', y')
Equation of a line has been given as,
5x + y = 4
y = -5x + 4
Slope of this line = -5
By the property of parallel lines "slope of the parallel lines are same",
m = -5
Parallel line passing through (-1, 4) and slope 'm' = -5 will be,
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 5 + 4
y = -5x - 1
Therefore, equation of the parallel line will be,
y = -5x - 1
Find two national number
between 2 and 3
Answers
Answer:
The answer is 2.5
Step-by-step explanation:
Formula Used is is ½ x x+y
so it is ½ x 2 + 3
½ x 5 = 2.5
Answer:
2=2/1
3=3/1
multiplying both fractions by 10.
2*10/1*10
3*10/1*10
20/10 and 30/10
so nos are 21/10.......29/10
Daniel is a very good television salesperson. His annual sales average at $187,400. His commission on sales is 30% and his annual base salary is $40,000. On average what is his annual gross income?
Answers
Answer: $96,220
Step-by-step explanation:
From the questionwe are we informed that Daniel is a very good television salesperson and that his annual sales average at $187,400 and his commission on sales is 30% while his annual base salary is $40,000.
His annual gross income will be his annual base salary plus commission annually. This will be:
= $40,000 + (30% × $187,400)
= $40,000 + (0.3 × $187,400)
= $40,000 + $56,220
= $96,220
given that sin x equals to a over b then what is tan x
Answers
Answer:
Hey there!
Sine is equal to opposite/hypotenuse
Tangent is equal to opposite/adjacent
opposite=a
hypotenuse=b
adjacent=c
Thus, tangent x= a/c.
Hope this helps :)
Answer:
tan x = a/sqrt(b^2 - a^2)
Step-by-step explanation:
sin x = a/b = opp/hyp
tan x = opp/adj
adj^2 + opp^2 = hyp^2
adj^2 + a^2 = b^2
adj = sqrt(b^2 - a^2)
tan x = a/sqrt(b^2 - a^2)
Select the correct answer.
A system of linear equations is given by the graph.
-5
5
What is the system shown?
O A y = 2
y=-3 - 5
y=it - 5
y = - = - 5
D. y = - =
5
Answers
Answer:
b
Step-by-step explanation:
rise over run
Answer: b
Step-by-step explanation:
How many times larger is 5 × 106 than 5 × 102?
PLEASE HELP !
Answers
Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.
Indeed, If you multiply 2 by 42 you'll get 4.
Of course, if a number is n× larger than another, then this other is n× smaller than the first one.
It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.
plz mark me as the Brainleist plz
when 5 more than 2 lots of a number is tripled the result is 10
Answers
Answer:
-5/6
Step-by-step explanation:
a number is x
then two lots will be 2 x
five more will be 2x+5
then tripled so 3(2x+5)
will equal 10
Answer: [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
3(2x+5)=10
Distribute
6x+15=10
Subtract 15
6x=-5
x = -5/6
Hope it helps <3
Which of the following equations is equivalent to
Answers
Answer:
4a - 40 = 1
Step-by-step explanation:
4/5 a - 8 = 1/5
Multiply each side by 5 to clear the fractions
5(4/5 a - 8) = 1/5 *5
distribute
4a - 40 = 1
A lake has a small patch of lily pads and every day the patch grows to double its size. It takes 32 days for the patch to cover the lake – how long would it take the patch to cover half the lake?
Answers
Answer:
It took 31 days for the patch to cover half the lake
Step-by-step explanation:
The patch grows to double its size everyday
the patch completely covers the lake in 32 days
Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.
Therefore, the the patch covered half the lake on the 31st day, i.e it took 31 days for the patch to cover half the lake
Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).
Answers
Answer:
Step-by-step explanation:
You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation
[tex]y=a(x-h)^2+k[/tex] and solve for a. Filling in:
[tex]-11=a(4-2)^2-3[/tex] which simplifies a bit to
[tex]-11=a(2)^2-3[/tex] and a bit more to
[tex]-11=4a-3[/tex]. Add 3 to both sides to get
-8 = 4a so
a = -2
The equation, then, is
[tex]y=-2(x-2)^2-3[/tex]
A bag contains 5 red, 6 green, 7 yellow, and 8 blue jelly beans. A jelly bean is selected at random. What is the probability that it is blue?
Answers
Answer:
4/13 is the probability does a blue Jelly Bean is selected
Step-by-step explanation:
sample space = sum of all the jelly beans in the bag
sample space =5+6+7+8
sample space =26
probability = Jelly Bean selected / sample space
probability =8/26
probability =4/13
Ahmed earns $1.50 for every video game he sells. When he sells one carton of 30 video game, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?
Answers
x >= 246.3
check:
1.50*246 + 10*8 = 449
His next sale will push him over $450
Answer:
Step-by-step explanation:
1.50x + 10[x/30] >= 450
x >= 246.3
check:
1.50*246 + 10*8 = 449
$450
