In a rectangle ABCD, A and B are the points (4,2) and (2,8) respectively l. Given that the equation of AC is y=x-2. Find the equation of BC
Answers
A=(4,2)
B=(2,8)
(AB)≡y-2=(x-4)*(8-2)/(2-4) ==> y=-3x+14
(BC)≡y-8=(x-2)*1/3 ==> y=1/3 x+22/3
Related Questions
The scale on a map is 1cm 7 km. if two cities are 12 cm apart on the map, what is the actual distance between the ctities
Answers
For example, 10 cm represent 70 km.
This means that 12 cm on map, represent 12* 7 km = 84 km.
Answer: 84 km.
What is the area of triangle DEF?
Answers
Divide (x^5+15x^4+54x^3-25x^2-75x-42) by x+8
Please show all work
Answers
(x⁵ + 15x⁴ + 54x³ - 25x² - 75x - 42)/(x+8)
There are two ways to do it: (a) long division, and (b) synthetic division.
Long Division
x⁴ + 7x³ - 2x² - 9x - 3
-------------------------------------------------
x+8 | x⁵ + 15x⁴ + 54x³ - 25x² - 75x - 42
x⁵ + 8x⁴
------------------------------------------------
7x⁴ + 54x³ - 25x² - 75x - 42
7x⁴ + 56x³
---------------------------------------
- 2x³ - 25x² - 75x - 42
- 2x³ - 16x²
---------------------------------
- 9x² - 75x - 42
- 9x² - 72x
----------------------------
- 3x - 42
- 3x - 24
-----------------
- 18
Answer:
x⁴ + 7x³ - 2x² - 9x - 3 - 18/(x+8)
Synthetic Division
--------------------------------------
-8 | 1 15 54 -25 -75 -42
-8 -56 16 72 24
-----------------------------------
1 7 -2 -9 -3 -18
Answer:
x⁴ + 7x³ - 2x² - 9x - 3 - 18/(x+8)
What is the following product
Answers
Answer:
Option B.[tex]\sqrt[6]{200}[/tex]
Step-by-step explanation:
The given expression is ∛5.√2 and we have to find the product.
In this question ∛5 can be written as [tex]5^{\frac{1}{3} }[/tex] and [tex]\sqrt{2}=2^{\frac{1}{2}}[/tex]
We know to multiply these terms we should have the same powers of both the terms.
Now we will convert these terms to the terms having same powers.
first term [tex]5^{\frac{1}{3}}=5^{(\frac{1}{3}).(\frac{2}{2})}[/tex]
=[tex]5^{\frac{2}{6}}[/tex]
=[tex]25^{\frac{1}{6}}[/tex]
Second term √2 = [tex]2^{\frac{1}{2}}[/tex]
= [tex]2^{(\frac{1}{2}).(\frac{3}{3})}[/tex]
= [tex]2^{\frac{3}{6}}[/tex]
= [tex]8^{\frac{1}{6}}[/tex]
Now we multiply these terms
[tex]25^{\frac{1}{6}}.8^{\frac{1}{6}}[/tex]
= [tex]200^{\frac{1}{6} }[/tex]
Therefore option B is the answer.
The difference between a number and 12 is 20
Answers
Isolate x by adding 12 to both sides
x-12+12=20+12
x=32
Final answer: The number is 32.
Remember that difference is a keyword for subtraction.
Which of the following values is the 25th percentile?lower quartile, median, upper quartile
Answers
Answer:
The value of 25th percentile equals:
lower quartile
Step-by-step explanation:
We have to find the value of the 25th percentile
25th percentile is equal to the lower quartile.
50th percentile is equal to the median.
and 75th percentile is equal to the upper quartile.
Hence, the value of 25th percentile equals:
lower quartile
10 POINTS!!!!! Which of the following statements is true about 63 and 20?
a.) They are relatively prime.
b.) They have more than one common factor.
c.) They each have a factor of 4.
d.) They are both prime numbers.
Answers
The correct answer is A
They are relatively prime
I hope that helps!
According to the empirical rule, for a distribution that is symmetrical and bell-shaped (in particular, for a normal distribution) approximately how much of the data values will lie within two standard deviations on each side of the mean?
Answers
The mean is μ, and the curve is symmetric about the mean.
The total area under the curve is 1.
The standard deviation is σ.
The interval (μ-σ, μ+σ) contains approximately 68% of the total area.
The interval (μ-2σ, μ+2σ) contains approximately 95% of the total area.
Answer: 95%
Some facts about powers of ten are shown.
Use what you know about powers of ten to enter numbers that make the equation true.
Enter numbers to write 7.9×10^-6 in standard notation.
Answers
The number to write [tex]7.9\times 10^-6[/tex] in standard notation is 0.0000079.
Given that,
The number to write the given equation in standard notation.Based on the above information, the calculation is as follows:
[tex]= 7.9\times 10^-6 = 7.9 \times \frac{1}{1,000,000}[/tex]
= 0.0000079
Therefore we can conclude that the number to write [tex]7.9\times 10^-6[/tex] in standard notation is 0.0000079.
Learn more: brainly.com/question/7508826
WILL GIVE BRAINLIEST PLEASE PLEASE PLEASE HELP ASAP!!
If <1 and <2 form a linear pair, m<1 = 100 + 20x, and m<2 = 20x, find
m<1 .
a.
2°
b.
40°
c.
140°
d.
180°
Answers
so
m<1 + m<2 = 180
100 + 20x + 20x = 180
40x = 80
x = 2
m<1 = 100 + 20x = 100 + 20(2) = 140
answer
c.
140°
How do you solve 3x+4y=12 and 2x=y-6
Answers
3x +4y =12
2x = y-6 Rewrite this as y = 2x+6
now replace that for y in the first equation
3x + 4(2x+6) = 12
now do all the calculations:
3x + 8x +24 =12
11x + 24 = 12
11x = -12
x = -12/11 = -1 1/11
now substitute -12/11 for x in the 2nd equation and solve
y = 2x+6
y = 2(-1 1/11) +6
y = 42/11 = 3 9/11
an angle measures 12 degrees less than 3 times its supplement
Answers
suppose the size of the supplement is x;
the size of the angle supplementary to x will be:
3x-12
Given that the sum of supplementary angles is 180, thus;
x+(3x-12)=180
solving for x we get:
4x-12=180
4x=180+12
4x=192
x=192/4
x=48
the size of the supplementary angles will be:
48*3-12
=132
Branliest and 30 points
Evaluating expressions
1.x squared when x=3/4
2. x+y when x=11 and y=6.4
3. w-z when w=9.5 and z = 2.8
Answers
(3/4)^2 = (3/4)* (3/4)
(3/4)*(3/4)= 9/16
Final answer: 9/16
2.
11+6.4= 17.4
Final answer: 17.4
3.
9.5-2.8= 6.7
Final answer: 6.7
[tex](\frac{3}{4})^{2}[/tex]
[tex]\frac{3^{2}}{4^{2}}[/tex]
[tex]\frac{9}{16}[/tex]
[tex]x+y[/tex]
[tex]11+6.4[/tex]
[tex]17.4[/tex]
[tex]w-z[/tex]
[tex]9.5-2.8[/tex]
[tex]6.7[/tex]
find the product (x-y)(6x+4y)
Answers
-y × 6x = -6xy
-y × 4y = -4y²
x × 6x = 6x²
x × 4y = 4xy
= -2xy - 4y² + 6x
I hope this helps!
Bilal is sharing candy with 6 of his friends. He has 5 over 6 of a bag of candy left after he takes what he wants. What fraction of candy will each of his friends get if he shares equally with them?
_____ of the bag
Jenny and Hanan are collecting clothes for a clothing drive. Hanan collected 1 half as many bags of clothes as Jenny did. If Jenny collected 3 over 4 of a bag of clothes, what portion of a bag of clothes did Hanan collect?
_____bags
Answers
the 2nd one is 3/8 bags
I have forgotten how to answer this question
Answers
so, as you see there, those radius make out an "equilateral triangle", and as you know, all angles in an equilateral triangle are 60° each.
now, if we make out the other equilateral triangle underneath that one, and add up the angles making out ∡CBD, you'd get, yes, you guessed it.
What is the range of this function?
Answers
Answer:
c) -16 ≤ x < 5
Step-by-step explanation:
The given function is f(x) = -3x + 2 and domain is -1 < x ≤ 6
The maximum value of the domain is 6 and the minimum value of the domain is -1.
To find the range, plugin the maximum and minimum value of the domain.
Plug in x = 6 in the given function, we get
f(6) = -3(6) + 2 = -18 +2 = -16
f(-1) = -3(-1) + 2 = 3 + 2 = 5
So the range is -16 ≤ x < 5
Given tan A = .78 find angle A in degrees. Round your answer to the nearest hundredth.
Answers
tan⁻¹(0.78) = A
The value of A in the equation to the nearest hundredth is 37.95°.
Answer:
[tex]A\approx 37.95^{\circ}[/tex]
Step-by-step explanation:
We have been given that [tex]\text{tan}(A)=0.78[/tex]. We are asked to find measure of angle A in degrees.
We will inverse tangent to find measure of angle A as:
[tex]A=\text{tan}^{-1}(0.78)[/tex]
[tex]A=37.954230875133^{\circ}[/tex]
Upon rounding our answer to nearest hundredth, we will get:
[tex]A\approx 37.95^{\circ}[/tex]
Therefore, the measure of angle A is approximately 37.95 degrees.
what number increased by 80% is 90?
Answers
If a 70 inch television's diagonal forms a 29° angle with the base of the screen, what is the vertical height (h) of the screen to the nearest inch? 34 in 39 in 51 in 61 in
Answers
height=70 sin (29)=33.94 inches rounded to 34 inches.
Answer:
34 inches.
Step-by-step explanation:
Someone pls help!? I don't get it
Answers
= x^(3 1/5)
= x^3 * x^1/5
= x^3 * fifthroot of x
Its the first choice
A surveyor measures the angle of elevation to a point on a mountain to be 18 degrees the point on the mountain is horizontally 4 miles away from the surveyor the vertical change in elevation from the point where the surveyor is standing to the point on the mountain is___ miles?
Answers
[tex]tan(18)= \frac{x}{4} [/tex]
and 4 tan(18) = x.
x = 1.3 miles
Answer:
1.3 miles
Step-by-step explanation:
Solution:-
- The surveyor stands at a platform that is B = 4 miles and at an elevation of θ = 18 ° away from the point on the mountain.
- We can construct a right triangle from surveyor to the point of observation. To determine the change in height/elevation (H) we will apply the trigonometric relation as follows:
tan ( θ ) = H / B
- Solve for the elevation (H):
H = B*tan ( θ )
H = 4*tan ( 18 )
H = 1.3 miles
- The change in elevation from surveyor to point of observation is H = 1.3 miles.
A football team loses 3 yards on one play and 6 yards on another play. Write a sum of negative intergers to represent this situation. Find the sum and explain how it is related to the problem.
Answers
'loses six yards' as negative expression is -6
The negative sum is: [-3 + -6] and working this sum we get -9
This means the football team loses 9 yards altogether
Help plz fast with this question
Answers
90-7 =83 degrees
height = 3 miles
divide 3 by the cos of 83 degrees
3/cos(83) = 24.6165
rounded to nearest mile = 25 miles
Find the first six terms of the sequence. a1 = 1, an = 4 • an-1
Answers
he product of a non-zero rational number and an irrational number can always be written as
a)a fraction.
b)a terminating decimal.
c)a non-repeating, non-terminating decimal.
d)a repeating decimal
Answers
c) a non-repeating, non-terminating decimal
Answer with explanation:
⇒Consider a Non Zero Rational Number = 2, 3, [tex]\frac{2}{3}[/tex], 53,....
The decimal Expansion of Rational number is Either terminating or Non Teminating repeating.
⇒ Irrational Number = π, √2,√7,...
The decimal Expansion of Irrational number is Non terminating Non repeating.
⇒Product of a non-zero rational number and an irrational number
=2 ×√2 or 3 × √2 or 3 π
are all Irrational number.
In terms of decimals:
(c)⇒a non-repeating, non-terminating decimal=(Irrational Number)
Option C
What is the radius of the circle defined by x^2+2x+y^2+6y-39=0?
Answers
x²+2x+y²+6y-39=0
(x²+2x+1)-1 +(y² +6y+9)-9 -39 =0
(x+1)² + (y+3)² = 49 = 7²
the radius is : 7
How many kilometers can the prius travel on 16 liters of gasoline?
Answers
Prius can travel up to 4.23 × x kilometers on 16 liters of gasoline.
It is given that Prius runs on gasoline.
We have to find out that how many kilometers it can run if amount of gasoline is 16 liters.
What will be the value of 16 times of a number x ?
The value will be ; 16 × x .
No. of kilometers Prius travels depends on what is the model of Prius . Also quality of roads makes a difference.
∵ 1 liter = 0.264172 gallons
⇒ 16 liters = 16 × 0.264172 = 4.23 gallons
Let's say a Prius travels x kilometers per gallon.
So ; on 16 liters of gasoline , Prius will travel ;
x × 4.23 = 4.23 × x kilometers
Thus , Prius can travel up to 4.23 × x kilometers on 16 liters of gasoline.
To learn more about algebraic expressions click here ;
https://brainly.com/question/26479183
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What is the area of triangle FGH? Round your answer to the nearest tenth of a square centimeter.
Answers
A=(5.4)(3.6)/2
A=9.72 cm^2
A≈9.7 cm^2 (to nearest tenth of a square centimeter)
Answer: [tex]\text{Area}=9.8\ \text{square centimeter}[/tex]
Step-by-step explanation:
Given: The height of the triangle h= 3.0 cm
The base corresponding to the given height b= 6.5 cm
We know that the area of a triangle is given by :-
[tex]\text{Area}=\frac{1}{2}bh\\\\\Rightarrow\text{Area}=\frac{1}{2}(3)(6.5)\\\\\Rightarrow\text{Area}=\frac{19.5}{2}\\\\\Rightarrow\text{Area}=9.75\approx9.8\ \text{square centimeter}[/tex]
In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?
Answers
C = 2πr
C = 2(3.14159)(8 inches)
C = 50.265 inches
then 60/360 = 1/6 of the circle
50.265 inches / 6
= 8.378 inches (Round answer as needed)
Answer:
The length of segment joining the endpoints of the arc is [tex]8\ in[/tex]
Step-by-step explanation:
we know that
In the triangle ABC
see the attached figure to better understand the problem
[tex]AC=BC[/tex] -----> is the radius of the circle
[tex]m<CAB=m<CBA[/tex]
[tex]m<ACB=60\°[/tex] ----> given problem (central angle)
Initially the triangle ABC is an isosceles triangle
Remember that
the sum of the internal angles of triangle must be equal to [tex]180\°[/tex]
For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to [tex]60\°[/tex]
The equilateral triangle has three equal sides and tree equal angles
so
[tex]AC=BC=AB[/tex]
Hence
The length of segment joining the endpoints of the arc is [tex]8\ in[/tex]