Answer: 22
Step-by-step explanation:
Which of the following represents an equation in standard form for the line that passes through (3, −1) and (−5, −3).
Answer:
y = ¼x + (-7/4)Step-by-step explanation:
find the gradient ( M)
M = y2- y1 ÷ x2-x1
M= -3 - (-1)÷(-5)-3 = ¼
thefind C in the equation (y=mx+c)
C = y-mx ( C = -1-¼(3)= -7/4(use in y and x values provided)
now replace the values you find in the equation (y=Mx+C)
final answer is
y = ¼x+(-7/4)y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)
What is Slope intercept form?y=mx=c is the slope intercept form of a line, m is the slope.
We need to find equation of line passing through (3, −1) and (−5, −3)
First we need to calculate slope 'm'.
slope m = y2- y1 / x2-x1
y2=-3, y1=-1, x2=-5, x1=3
m= -3 - (-1)/(-5)-3 = -2/-8=1/4
Equation of line, y=mx+c
find C in the equation (y=mx+c)
C = y-mx
C = -1-1/4(3)= -7/4
now replace the values you find in the equation (y=Mx+C)
y =1/4x-7/4
Hence y =1/4x-7/4 is the equation of line passes through (3, −1) and (−5, −3).
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Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
PLZ I NEED IT RIGHT NOW
Answer:
hope this helps
cora plans to buy some calligraphy pens priced at $5 each
Suppose you are selling crafts at a craft show. It costs you
$100 to rent a table. Each item costs you $4 to make. You sell
them for $10 each. How many items must you sell to break
even?
The quantity of items you must sell to break even are = 17 items.
To rent a table = $100
The cost of each item = $4
You sold each item at prize = $10
Therefore the gain for each item = 10 - 4
= $6
Therefore, the quantity of items to sell to recover the cost from renting of the table is =
[tex] \frac{100}{6} [/tex]
= 16.6 items
which is approximately = 17 items.
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2x+2x+2=4x+2 one solution, infinite, or no solution
Answer:
0=0
Step-by-step explanation:
 Use trigonometric identities to solve each equation within the given domain
sec(x) cos(3x) = 0 from [- x /2 , x /2]
Answer:
Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].
Step-by-step explanation:
Angle sum identity for cosine:
[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].
Double-angle identity for cosine and sine:
[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].
[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].
The secant of an angle is the inverse reciprocal of the cosine of that angle:
[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].
Apply these identities to rewrite the left-hand side of the equation.
[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].
Solve the rewritten equation:
[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].
Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].
The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].
If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].
Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],
Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
Answer:
270.15
Step-by-step explanation:
Answer:
270.15
Step-by-step explanation:
u just add 52 and 18.72 and subtract it from 340.87
Gavin jarred 6 liters of jam after 2 days. How many days did Gavin spend making jam if he jarred 24 liters of jam?
Answer:
=8
Step-by-step explanation: becuase this inst high school this is like third grade
Anyone know thiss?I need helpppp!!
Answer:
5)
V= 1,-4
S) x=1
Min= 1,-4
zeros= (-1,0)(3,0)
6)
V= -2,0
S= x=-2
min= -2,0
zeros= -2,0
Evaluate 7.6 x 103 +5.2 x 103 and write its solution in scientific notation.
Need Help Now Do not Wait need help with all will give 20 points!!!!!!!!!!!!!!
Step-by-step explanation:
the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is
Ben said: For every $60 the sixth graders plan to raise, the seventh graders
plan to raise $90. He looks at the principal's thermometers and sees that
$60 is at the same place on the sixth-grade thermometer as $90 is on
the seventh-grade thermometer.
Ben also makes the claim: For every $30 the sixth graders plan to raise,
the seventh graders plan to raise $45.
Do you agree with this claim? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
for every 60 is 90 right so if you take 30 ( half of 60) how much are the 7th graders gonna raise half of 90 is 45 (may I please have brainliest I need it to rank up)
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
0.7306euros = 1 US dollar
Answer:
3500
Step-by-step explanation:
if you rounding 0.7306 up to nearest euro its equal to a dollar
The number of euros that Varia can expect to pay per month to the university will be € 213.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university, however, she must pay in euros.
We know that the conversion is 0.7306 euros = 1 US dollar. Then the number of euros per year is given as,
⇒ $3,500 x 0.7306
⇒ €2,557.1
Then the number of euros that Varia can expect to pay per month to the university will be given as,
⇒ €2,557.1 / 12
⇒ € 213.09
⇒ € 213
The number of euros that Varia can expect to pay per month to the university will be € 213.
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You saved $300 from waiting tables and $100 from babysitting this
summer. You put this in a savings account that earns 0.9% interest. You
left it in the account for 24 months before deciding to spend it. How
much interest did you earn?
86.4
....................
Correct answer gets Brainly !!
Answer: X=5
Step-by-step explanation: Because if you subtract 10-(-5) it = 5
Zhanae Gregory bought a total of 25 books and CDs during a yard sale for a total of $65.50. If books cost $1.50 each and CDs cost $5 each, how many books did she buy?
Answer:
17 books
Step-by-step explanation:
does anyone know how to do this
Answer:
(2,2)
Step-by-step explanation:
To draw a graph you find the y value for a couple of x values. For a linear equation like the one given, two points are enough because the graph is always a straight line.
First graph
First, convert the equation into the y=... form:
x - y = 0 => y = x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=0, so (0,0) is a point on the graph
for x=5, you find y=5, so (5,5) is a point on the graph
Now plot these two points and draw a line through them.
Second graph
First, convert the equation into the y=... form:
x + y = 4 => y = 4 - x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=4, so (0,4) is a point on the graph
for x=5, you find y=-1, so (5,-1) is a point on the graph
Now plot these two points and draw a line through them.
3x/2x simplified into racio
Answer:
Simplify the expression.
3x2/2
hope this makes sense lol
Step-by-step explanation:
Answer:
1.5 : 1 (or) 3/2
Step-by-step explanation:
Given expression,
→ 3x/2x
Let's simplify the expression,
→ 3x/2x
→ (3 ÷ 2)(x ÷ x)
→ (1.5)(1)
→ 1.5
Now the required ratio will be,
→ 3 : 2
→ 1.5 : 1
Hence, required ratio is 1.5 : 1.
simplify 1/5(4x-7)+2/5x
4/5x-1
1 1/5x-1 2/5
1 1/5x+1 4/5
4/5x+1 4/5
Answer:
Option 2:[tex]1 \frac{1}{5} x - 1 \frac{2}{5} [/tex]Step-by-step explanation:
[tex] \frac{1}{5} (4x - 7) + \frac{2}{5} x[/tex]
[tex] = \frac{4}{5} x - \frac{7}{5} + \frac{2}{5} x[/tex]
[tex] = \frac{4}{5} x + \frac{2}{5} x - \frac{7}{5} [/tex]
[tex] = \frac{4 + 2}{5} x - 1 \frac{2}{5} x[/tex]
[tex] = \frac{6}{5} x - 1 \frac{2}{5} [/tex]
[tex] = 1 \frac{1}{5} x - 1 \frac{2}{5} x \: (ans)[/tex]
Where did we get one?
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50 (before taxes).
How much popcorn can you buy per dollar?
Answer:
$ 0.25 Per Ounce of popcorn
Step-by-step explanation:
2.5 / 10 = 0.25
If 10 is the amount of ounces she got of the popcorn, and we divide the total cost by 10, that'll give us the amount for 1 ounce.
the ratio of the interior angle to the exterior angle measures of a triangle is 1:4:5. What are the angle measures
Answer:
18°
Step-by-step explanation:
because it is ratio let represent by x
1x+4x+5x=180
10x=180
x=18°
hope that helps
Someone, please help my teacher doesn't want to help me and ugh I'm frustrated. Any help would be great!
Answer:
my brother said it is 5 and 10... but i do not know if it is
please help me with math
Answer:
Hope this helps
Step-by-step explanation:
the tennis team is selling tickets to a car wash for $6.when they do not sell very many tickets ,the team decreaces the price 25%.what is the new cost of a ticket .
Answer:
it will be $1.50 (sure yan ah diyan joke)
Find the measures of the angles of a right triangle with one angle whose measure is 10
Answer:
10, 80 and 90 degrees.
Step-by-step explanation:
The third angle will 90 - 10 = 80 degrees.
49000000 -8373448588766
answer:
-8.3733995^12
The p/q form of 0.4277777....... ,9 # 0 is 77/180 ( ) 180 43 90 37 90
Answer:
77/180
Step-by-step explanation:
x = 0.42777....
Multiply by 1000 (the number of digits in decimal)
1000x = 427.7777......
100x = 42.7777...... {Now subtract}
900x = 385
x = 385/900
x = 77/180
May I please receive help?
Answer:
m<2 = 94°
Step-by-step explanation:
just have to subtract 132-39=94
if 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4
plzz answer this question...
Step-by-step explanation:
Here we are given that , the Value of
[tex] 3x - 2y = 9 [/tex] [tex] 27x^3 - 8y^3 = 1377 [/tex]And we need to find the prove that ,
[tex] xy = 4 [/tex]We know a identity as ,
[tex] (a-b)^3 = a^3-b^3-3ab(a-b) [/tex]On cubing both sides of the given equation,
[tex] (3x-2y)^3 = 9^3 [/tex]Simplify and then substitute ,
[tex] 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729[/tex] [tex] 1377 - 18xy (9) = 729 [/tex][tex] 162xy = 1377-729 [/tex][tex] xy =\dfrac{648}{162}[/tex][tex]xy = 4 [/tex]Hence Proved !