Answer:
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Step-by-step explanation:
It is given that –
Slope of the first line is–
[tex]\sf\longmapsto \: m_{1} = 2[/tex]
Let,
the slope of the Another line be –
[tex]\sf\longmapsto \: m _{2}[/tex]
Now,
The angle between the two lines is 60°.
Let's start solving!
[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]
[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]
[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]
[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]
[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]
The equation of line passing through point (2,3) and having a slope of –
[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]
is–
[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]
[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Hence the equation of the other line is -
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Use a property of equality to solve this equation:
4.5x = 18
x =
Answer:
4
Step-by-step explanation:
x= 18÷4.5=4
hope it helps
Find the value of x. 50° 83° X
Answer: trap house
Step-by-step explanation:
i need help ASAP!! will mark brainliest. I need to find the vertex of this problem but i don’t know how to work/solve it, pls help! thanks!!
hellppppppppppppppppppppppppp
Answer:
⁴/2
Step-by-step explanation:
because is I solveng to be a good
brainliest me
Answer:
Common ratio is - 4 / 2.
Step-by-step explanation:
Sequence = - 2, 4, - 8, 16, - 32, ....
Let the terms be " a ".
Here,
a1 = 2
a2 = 4
a3 = - 8
a4 = 16
a5 = - 32
Let the common ratio be " r ".
r1 = a2 / a1
= 4 / - 2
r1 = - 2
r2 = a3 / a2
= - 8 / 4
r2 = - 2
r3 = a4 / a3
= 16 / - 8
r3 = - 2
r4 = a5 / q4
= - 32 / 16
r4 = - 2
Since, the common ratios are same,
Therefore, r = - 2
- 4 / 2 = - 2
So, - 2 can also be written as - 4 / 2.
Hence,
r = - 4 / 2
Finally,
Common ratio ( r ) = - 4 / 2
How do I solve for this?
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Answer:
angle L = 100 degrees
angle M = 110 degrees
angle N = 70 degrees
angle P = 80 degrees
Step-by-step explanation:
find value of 'x' then substitute into each of the four angle expressions
to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)
2x + 20 + 3x - 10 + 2x - 10 + 2x = 360
combine 'like' terms to get:
9x = 360
x = 40
angle L = 2(40) + 20 = 100 degrees
angle M = 3(40) - 10 = 110 degrees
angle N = 2(40) - 10 = 70 degrees
angle P = 2(40) = 80 degrees
Check:
100 + 110 + 70 + 80 = 360
I NEED HELP ON 1 PLEASEEE
Answer:
C
Step-by-step explanation:
SA of a cylinder formula:
A=2πrh+2πr^2
A=2π(3)(15)+2π(3)^2
A=339.29in^2
Hope that helps
Answer:
Step-by-step explanation:
Hi there!
From the given figure;
Radius(r) = 3 inch
Height (h) = 15 inch
Now;
Total surface area (TSA) = 2πr(r+h)
TSA = 2*([tex]\frac{22}{7}[/tex])*3(3+15)
TSA = [tex]\frac{132}{7}[/tex]*18
TSA = 339.42in².
Therefore, the answer is option c (339.29in²).
Hope it helps!
need help for 20 points.....plzzzzz
a^2/16-5ab+100b^2
is it factorization ...
Look at the figure. How can you prove the triangles are congruent?
A) it is not possible to determine if the triangles are congruent
B) ABD = CBD by the SSS postulate
C) ABD = CBD by the SSS postulate
Answer:
Δ ABD ≅ Δ CBD SSS
Step-by-step explanation:
AB ≅ CB Given
AD ≅ DC Given
BD ≅ BD Reflexive property
Δ ABD ≅ Δ CBD SSS
Function 1 is defined by following table what function has greater y- intercept?
Answer:
They both have the same y intercept
Step-by-step explanation:
(1,0)(0,3)
(0,3)(1,-1)
*PLEASE HURRY WILL GIVE BRAINLY* A company's profits (in dollars) are modeled by the function p(x) = —x^2+ 1100x - 300000, where x is the number of units produced. To determine the minimum number
of units that must be produced in order to earn profits of $590, the company plots the parabola of y = —x^2 1100x -- 300000 and the line x = 590, finds the intersection
of the two, and concludes that 900 units must be produced. Is the company correct? Explain, rounding values to the nearest whole number if necessary.
Both Tyrone and Albert walk to and from school every day. Qlbert has to walk 1.25 miles farther than Tyrone does each way. If Tyrone's house id 0.6 mile from school, how far do the two boys walk altogether?
Answer: 0.6 + 1.25 = 1.85
0.6 + 1.85 = 2.45
joseph traveled from Boston to Framingham at 50 mph and then back to boston at 40 mph, What was Joseph average speed on the round trip
*IT SAYS 45 IS NOT THE ANSWER*
*EXPLAIN HOW TO SOLVE IT*
30 BRAINLY POINTS!!!!!
AND BRAINLIEST!
Answer: 44.44 mph
(50 + 40) / 2 = X
88.88/2 = X
44.44= X
Step-by-step explanation:
Please what is the answer?
Answer: scale to measure the weight
Step-by-step explanation:
Given the following function, find f(-2), f(0), and f(1).
f(x) = x2 + 3
=
Answer:
jjjjnnuiuhjiihhiihb
Step-by-step explanation:
tyuijiojnoo.
yu8ijhiihj
On October 23, 2011, one U.S. dollar was worth 49.84 Indian rupees.
(a) On that date, how many rupees was 77.65 dollars worth?
Round your answer to the nearest hundredth of a rupee.
rupees
(b) On that date, how many dollars was 82.12 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars
On that date, 77.65 dollars is worth 3,870.08 rupees.
On that date, 82.12 rupees is worth $1.65.
What is the worth of the currencies?Exchange rate is the rate at which one currency is exchanged for another currency.
In order to convert rupees to dollars, multiply the value of the rupees by the exchange rate:
value of the rupees x exchange rate
77.65 to rupees = 77.65 x 49.84 = 3,870.08 rupees
In order to convert dollars to rupees, divide the value o the dollars by the exchange rate:
value of the dollars / exchange rate
82.12 to dollars = 82.12 / 49.84 = $1.65
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what is the equation of the line that is perpendicular to y = −2x + 5 through the point (-4, -5)
Step-by-step explanation:
m1=-2
m1m2=-1
-2m2=-1
m2=1/2
y+5/x+4=1/2
so 2y+10=x+4
2y-x=-6
Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)
Perpendicular lines have slopes that multiply to get -1.
So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]
Substitute:
-2m=-1
Divide both sides by -2
m=[tex]\frac{1}{2}[/tex]
Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):
[tex]y=\frac{1}{2}x+b[/tex]
We need to find b.
Because we know the line passes through the point (-4, -5), we can use it to help solve for b.
Substitute -4 as x and -5 as y
[tex]-5=\frac{1}{2}(-4)+b[/tex]
Multiply:
-5=-2+b
Add 2 to both sides
-3=b
Substitute -3 as b:
y=[tex]\frac{1}{2}x-3[/tex]
Hope this helps!
What is the equation of the line with a gradient of −2 which passes through the point (3, −5)?
Answer:
y= mx + c
Step-by-step explanation:
y=mx+c
y= -2x+c
-5 = -2(3) +c
-5 = -6 +c
-5 + 6 = c
1 = c
therfore equation is y = -2x + 1
x-1/2=x-2/3 solve the proportion
Answer:
0 = − 1 /6
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
To find the value of x, we first find the fraction that is equivalent to 1/3 that has a denominator of 12.
Multiplying or dividing the numerator and denominator of
a fraction by the same number will give us an equivalent fraction.
So if we multiply both the numerator and denominator of
the first fraction by 4, we can see that 1/3 = 4/12.
So the value of x must be 4.
hello can anyone please help with this.
Selina takes 1 and a half hours to cycle 12 miles.
What is her average cycling speed?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given terms :
Distance covered (d) = 12 miles
Time taken (t) = 1.5 hour
Average speed :
[tex]v = \dfrac{d}{t} [/tex][tex]v = \dfrac{12}{1.5} [/tex][tex]v = 8 \: \ \: mph[/tex]average speed = 8 mph
Answer:
8mph
Speed= Distance/Time
12/1.5= 8mph
greatest common factor of 5, 6 and 15
Answer:
1
Step-by-step explanation:
As you can see when you list out the factors of each number, 1 is the greatest number that 5, 6, and 15 divides into.
which strategy would not solve the rational equation?
Answer:
This may occur when you decide to determine a function as well as a graph.
Step-by-step explanation:
Hope this helps! :D
If 134n = 54eight , calculate n
The value of 'n' is approximately 4.0896.
To calculate the value of 'n' in the equation 134n = 548, we can isolate 'n' by dividing both sides of the equation by 134.
134n = 548
Dividing both sides by 134:
n = 548 / 134
Evaluating the division:
n ≈ 4.0896
Therefore, the value of 'n' is approximately 4.0896.
To know more about value, refer here:
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Complete Question:
If 134n = 548, calculate n.
solve 4n - 8 = 14n + 12
please help <3 ( will give brainliest )
Basically...
4n - 8 = 14n + 12
Simply collect like terms,
4n-14n=12+8
-10n=20
Divide both sides by -10
n= -2
Please mark BRAINLIEST.
Step-by-step explanation:
[tex]4n - 8 = 14n - 4n \ \\ - 8 - 4 = 14n - 4n \\ - 20 = 10n \\ - \frac{20}{10} = n \\ n = - 2[/tex]
abe purchased a candle at the candle store. The candle is 9 inches long and the packaging started the candle burns down at the rate of 1/2 an inch per hour.
If abe lit the candle and let it burn. How long would the candle be after 5 hours
Show how you figured it out
Answer:
6.5 Inches in 5 hours.
Step-by-step explanation:
1. 0.5 * 5 = 2.5
2. 9 - 2.5 = 6.5
Therefore after 5 hour's, the candle will be 6.5 inches that duration
(hope this helps!)
If there are four black kittens and two orange kittens how does the number of orange kittens compared to the total number of kittens in the litter write a comparison beginning with for every?
Answer:
For every two black kittens, there is one orange kitten.
Step-by-step explanation:
Simplify the ratio and put it in word form.
Answer:
For every three kittens there is one orange kitten
Step-by-step explanation:
The total number of kittens is equal to four black kittens + two orange kittens, which makes for six kittens.
So for every six kittens there are two orange kittens.
We can simplify this down further by dividing by the greatest common factor, 2.
So,
For every three kittens there is one orange kitten.
Find the area of the metal sheet below that is required to make this square-shaped traffic sign. (note: square the binomial)
Fine a number such that half of the number is 4 more than 6.
Answer:
20
Step-by-step explanation:
20 / 2 = 10
10 - 4 = 6
WHAT IS THE MEASURE OF ANGLE #5
WHAT IS THE MEASURE OF ANGLE #6
WHAT IS THE MEASURE OF ANGLE #7
WHAT IS THE MEASURE OF ANGLE #8
Answer:
5)42º
6)112º
7)112º
8)38º
Step-by-step explanation:
m<6 180-68=112
m<5 180=26+112+x 42=x
m<7 is congruent to m<6
m<8 180=30+112+x 38=x
Please help! Algebra question see picture...
Marking Brainliest!
Answer: G is -1/3
Step-by-step explanation:
person who answers this gets brainliest
If Manny the Martian's shadow is 17.5 ft. in length and the shadow of a yard stick sitting perpendicular to the ground is 7.5 ft., what is Manny's height?
A 8 ft
B 5.5 ft
C 6 ft
D 7 ft
Answer:
letter B.
Step-by-step explanation:
5.5ft
hope it helps you