Answer:
[tex]B(x,y) = (-3,0)[/tex]
Step-by-step explanation:
Given
[tex]A = (6,-6)[/tex]
[tex]C = (-6,2)[/tex]
[tex]AB = \frac{3}{4} AC[/tex]
Required
Find coordinates of B
First, we need to convert [tex]AB = \frac{3}{4} AC[/tex] to ratio [tex]AB:BC[/tex]
SInce [tex]AB = \frac{3}{4} AC[/tex], then
[tex]AB : BC = 3 : 4 - 3[/tex]
[tex]AB : BC = 3 : 1[/tex]
The coordinates of B can then be calculated as follows;
[tex]B(x,y) = (\frac{nx_1 + mx_2}{n + m},\frac{ny_1 + my_2}{n + m})[/tex]
Where
[tex]A(x_1,y_1) = A(6,-6)[/tex]
[tex]C(x_2,y_2) = A(-6,2)[/tex]
[tex]m:n = 3 : 1[/tex]
Substitute these values in the given formula;
[tex]B(x,y) = (\frac{1 * 6 + 3 * -6}{1 + 3},\frac{1 * -6 + 3 * 2}{1 + 3})[/tex]
[tex]B(x,y) = (\frac{6 -18}{4},\frac{-6 + 6}{4})[/tex]
[tex]B(x,y) = (\frac{-12}{4},\frac{0}{4})[/tex]
[tex]B(x,y) = (-3,0)[/tex]
Hence, the coordinates of B is [tex](-3,0)[/tex]
Please help with the questions on the picture, it's very urgent......Thank you✨
Answer:
2. sinθ= cos 35°
sinθ= sin(90°-35)
θ= 55°
3. cos4θ= sin5θ
cos 4θ= cos (90-5θ)
4θ=90°-5θ
collect like terms
4θ+5θ=90°
9θ=90° (divide both sides by 9)
therefore θ=10°
I've already done the first part of the question but i have to write it so others can be able to answer my second. i'd be grateful if anyone could give a quick response! Given that €1 = £0.75 a. How much is €530 in £? b. What is the £ to € exchange rate? Hint: It can be helpful to think of it like this: if €1 = £0.75, then €100 = £75 Now work out what £1 is worth.
Answer:
£398
Step-by-step explanation:
€530 = £0.75
530 x 0.75 = £397.50
You round this of to the nearest whole number:
£398
Which statement is true about the equation 4.5z = 4.5z – 4.25 + 6.25? (1 point) It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.
Answer:
nun
Step-by-step explanation:
Of 28 students taking at least one subject, the number taking Math and English but not History equals the number taking Math but not History or English. No student takes English only or History only, and six students take Math and History but not English. The number taking English and History but not Math is 5 times the number taking all three subjects. If the number taking all three subjects is even and non-zero, the number taking English and Math but not History is
Answer:
The answer is 5 students taking English and Math but not History
Step-by-step explanation:
The total students are 28 which are divided into 5 possible groups with no students taking either English only or History only:
Taking Math only Taking English and Math but not HistoryTaking Math and History but not EnglishTaking English and History but not MathTaking triple subjectsThe number of students in group 3 is 6. Hence, the total number in group 1, 2, 4 and 5 is: 28 - 6 = 22
Also, the number of students in group 4 is five times the number in group 5, therefore: group 2 + group 5 = 6 times group 5
Additionally, the number of students in group 1 equals that in group 2.
Hence, the equation is: 6 x group 5 + 2 x group 2 = 22 => group 2 = 11 - 3 x group 5 => group 2 = 5 because group 5 is an even number and non-zero, it must be 2.
Triangle ABC is described below. Find all possible values for B, C, and c.
A= 121.59, a = 27.9 cm, b = 52.6 cm
Apply the rules regarding the use of significant digits to each angle and
length after all computations are complete.
Answer:
c = 27.9
B = 62.13°
C = 89.90°
Step-by-step explanation:
We are given the following values:
A= 121.59°, a = 27.9 cm, b = 52.6 cm
a) Finding side c
We would use Pythagoras Theorem
c² = a² + b²
c = √(a² + b²)
c = √(27.9² + 52.6²)
c = 59.54cm
≈ Approximately = 59.5cm
b) Finding B
We would be using Cosine rule to find Angle B
Cos B = a² + b² - c²/2ab
B = arc cos ( a² + c² - b²/2ac)
B = arc cos( 27.9² + 59.5² - 52.6²/ 2 × 27.9 × 59.5)
B = 62.13268°
B = 62.13°
c) Finding C
We would be using Cosine rule to find Angle C
Cos C = a² + b² - c²/2ab
C = arc cos ( a² + b² - c²/2ab)
C = arc cos( 27.9² + 52.6² - 59.5²/ 2 × 27.9 × 52.6)
C = 89.9°
If the rectangle below has an area of 32 sq. units, what is the area of the triangle?
Answer:
B. 16 sq. units
Step-by-step explanation:
If you divide the rectangle, you will get 2 triangles. Therefore you will divide your answer from the rectangle by two.
Step-by-step explanation:
here, on this as the measure of triangle is alredy given separately we don'tneed its area. We just can use formula of area of triangle and simpfy it to get answer.
the measures of perpendicular (p)= 8
and base (b)=4
now, area of triangle (a)=1/2×b×p
or, a = 1/2 ×4×8
by simplifying it we get 16 sq.units.
hope it helps...
Plz help me 2x+y=4 4x+2y=8
Answer: Y= 2 X=1
Step-by-step explanation:
2x+y=4 4x+2y=8
2x =/2 2y= /2
y=2 4x=4
/4= /4
X= 1
Which statement could be an interpretation of the graph’s x-intercept or y-intercept? On a coordinate plane, a line goes through points (0, 4) and (8, 0). Tabitha took 6 hours to drive to her friend’s house. Matthew used 12 gallons of gas in all. Rosa will pay off her loan in the eighth month. Eight members of Hoi's family were each charged $4 to go to a movie.
Answer:
Eight members of Hoi's family were each charged $4 to go to a movie.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
What is the answer of 4(b+3) when b is 6?
Answer:
36
Step-by-step explanation:
Well first if b is 6 we plug that into the following.
4(b+3)
To,
4(6+3)
6+3 is 9 and 9*4 is 36.
Answer:
36
Step-by-step explanation:
4(6+3)
4(9)
36
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answer:
12
trust me it works i just took the test.
help pls. Find the period of the graph shown below.
Answer:
Option A. π
Step-by-step explanation:
The period of a simple harmonic motion is the time taken to make one complete circle or oscillation.
Considering the graph given above, we can see that at the completion of one circle, the angle θ, has value as pi (π).
This value is equivalent to the period of the graph.
Therefore, the period of the graph shown above is π.
nth term of this sequence please 18, 16, 14, 12
Answer:
[tex]\boxed{\sf -2n+20}[/tex]
Step-by-step explanation:
Let’s find the common difference.
The common difference can be found by subtracting a term in the sequence with the previous term.
[tex]\sf d=16-18\\d=-2[/tex]
Apply formula for the [tex]\sf n^{th}[/tex] term of an arithmetic sequence.
[tex]\sf a_n=a_1+dn-d[/tex]
[tex]\sf a_1[/tex] is the first term of the sequence.
[tex]\sf d[/tex] is the common difference.
[tex]\sf a_n=18+-2n-(-2)[/tex]
[tex]\sf a_n=18+-2n+2[/tex]
[tex]\sf a_n=-2n+20[/tex]
What is the midpoint of the segment below?
(3,5)
(-6,-6)
A. (-1.5, -0.5)
B. (0,0)
C. (1.5, 0.5)
D. (0.5, -0.5)
Answer:
The answer is option A.
( - 1.5 , - 0.5)Step-by-step explanation:
Midpoint of a line is given by
[tex] (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
Where ( x1 , y1 ) and ( x2 , y2) are the points
Midpoint of (3 , 5) and ( - 6 , - 6) is
[tex]( \frac{3 - 6}{2} , \: \frac{5 - 6}{2} )= ( - \frac{3}{2} , \: - \frac{1}{2} )[/tex]
We have the final answer as
( - 1.5 , - 0.5)
Hope this helps you.
Answer:
A. (-1.5, -0.5)Step-by-step explanation:
[tex](3,5), (-6,-6)\\Midpoint = [\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ]\\x_1 = 3\\y_1=5\\x_2 =-6\\y_2 = -6\\\\Midpoint = [\frac{3+(-6)}{2} , \frac{5+(-6)}{2} ]\\Midpoint = [ \frac{3-6}{2} , \frac{5-6}{2} ]\\\\Midpoint = [-\frac{3}{2} ,-1/2]\\\\Midpoint = [ -1.5 , -0.5][/tex]
⚠️PLEASE ANSWER!⚠️
Which equation can be used to solve for b?
Answer:
b = (8)tan(30)
Step-by-step explanation:
Use mnuemonic device SOHCAHTOA
Find the area under the standard normal curve to the left of z = 1.5
Answer:
0.9332
Step-by-step explanation:
Answer:
The answer is 0.9332 .
Reflect the given preimage over y=−1 followed by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)
Answer:
Reflecting over y = -1 line:
A'(8, -10)
B'(10, -8)
C'(2, -4)
Reflecting over y = -7 line:
A''(8, -4)
B'(10, -6)
C''(2, -10)
Step-by-step explanation:
Reflect the given preimage over y=−1 followed
by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)
The coordinates of the preimage are:
A(8,8)
B(10,6)
C(2,2)
Answer: Reflecting over y = -1:
If a point is reflected over a y line, the x values remain the same while the y values change.
For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)
The new coordinate is at A'(8, -10)
For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)
The new coordinate is at B'(10, -8)
For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)
The new coordinate is at C'(2, -4)
Reflecting over y = -7 line:
For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)
The new coordinate is at A''(8, -4)
For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)
The new coordinate is at B'(10, -6)
For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)
The new coordinate is at C''(2, -10)
We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h units down. So 2(−6) is a translation of −12 units down.
Find the path of the numbers from the upper left corner to the bottom right corner. The sum of the numbers must be equal to the number at the exit arrow. You are allowed to move either down or to the right only.
Answer:
8, 11, 19, 1, 6, 18, 3
Step-by-step explanation:
8+11+19+1+6+18+3=66
Find the odds for and the odds against the event rolling a fair die and getting a 4, a 2, or a 1.
Answer: Both in favor and against: 3/6 OR 1/2 OR 50%.
Step-by-step explanation: Both in favor and against: 3/6 OR 1/2 OR 50%.
The probability of rolling one die and getting any digit is [tex]\frac{1}{6}[/tex]. That is because the desired outcome is only 1 digit out of the 6 total digits on each of the six sides.
That means the probability of rolling either a 1, a 2, or a 4 if you are looking for any of those numbers specifically, is [tex]\frac{1}{6}[/tex]. But! You are looking to roll a 1, a 2, or a 4, without any preference among those three. Therefore, you are going to add the desired outcomes.
[tex]\frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}[/tex] = 0.5 = 50%
Above, are added the probability of rolling a 1 PLUS the probability of rolling a 2 PLUS the probability of rolling a 4, yielding a 50% probability.
Think about it. There are six total digits on a die. You are okay with rolling three of those. Three is half of six. Therefore, the probability of rolling the number you'd like is one-half, fifty-percent.
Likewise, since the probability of all complement events happening is 1 (or 100%), The odds against rolling either 1, 2, or 4 is also fifty-percent. 100% (which is rolling any number on a die) MINUS 50% (which is rolling a 1, a 2, or a 4 with no preference) EQUALS TO 50% (which is rolling a 3, a 5, or a 6).
1. Find the value of x in the figure below.
Answer:
see details and attached figure below.
Step-by-step explanation:
Going row by row
1. 12 (isosceles triangles have equal legs from the vertex)
2. 55 deg. (isosceles triangles have equal base angles)
3. 90 = 180-45-45 (isosceles triangles have equal base angles)
4. 2x-8 = 10
=> x = 18/2 = 9 (isosceles triangles have equal legs from the vertex)
5. sum of angles of triangle = 180
3x+3x+2x+4 = 180 => 8x = 176, x = 22, angle A = 3x = 66 deg.
6. sum of angles of triangle = 180
(isosceles triangles have equal base angles)
25+25+angle Z = 180 => angle Z = 180-25-25 = 130
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best dea 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?). And this one too Graph the system of equations. (Show your x/y tables) **Use a ruler or your answer will not come out correctly** or Slope- intercept simulation copy and paste And this one too What is the point of intersection on your graph? What does this mean? And this one tooo Which restaurant would you go to? Why?
Answer:
(golden corral) 11 + 1x = y. Western Sizzlin 9 +2x= y. These equations will be linear because these equations have the structure of y=mx+b, also when these equations are plotted on the graph they point upward. (I can't show a table, but I provided a pic of the graph so u can plot the points). The point of intersection is 2,13. The point of intersection means when the prices for both restaurants are equal to each other I would go to golden corral because if I have a lot of drinks it would be cheaper in the long run.
Step-by-step explanation:
Use desmos for problems like this it will save your life.
tina bought a notebook for $6.59 a backpack for 24.95 and a pen for $4.98
Answer: 36.52 dollars she spent
One side of a rectangle is X+7 units long, and the other side is X+3 units long. Express the area of the rectangle as a polynomial. If the value of X is 10, what is the value of the Polynomial?
Answer:
area as a polynomial: x^2 + 10x +21
If the value is 10: 221 units square
Step-by-step explanation:
to solve for the polynomial just do (x+7)(x+3) use the box method if your unfamiliar with this
to solve for the value just plug it in the polynomial you got from the previous answer
hope this helps
At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better buy?
Answer:
The 6 lemons for 2.50 is the better deal.
Step-by-step explanation:
2*3=6
3*0.99=2.97
2.97>2.50
Identify the underlined place value.
Glven: 775
The underlined value represents
lao
Answer:
[see below]
Step-by-step explanation:
There is no underlined numbers. I will do all of them.
In the number '775':
The first 7 is in the hundreds place. It represents the value of '700'. (775)The second 7 is in the tens place. It represents the value of '70'. (775)5 is in the ones place. It represents the value of '5'. (775)If you add all the values together, you get '775'.700 + 70 + 5 = 775
Brainilest Appreciated.
The following table shows a proportional relationship between M and N.
Answer:
7m = n
Step-by-step explanation:
3 x 7 = 21
5 x 7 = 35
8 x 7 = 56
Choose the figure that is congruent to the shape labeled with an asterisk (*).
Figure a.
Figure d.
Figure b.
Figure c.
Answer:
figure d is congruent to the figure given above.
The figure that is congruent to the shape labeled with an asterisk (*) will be figure 'd'. Then the correct option is B.
What is a transformation of a shape?Picture, after translation, refers to the object's ultimate organization and placement. From just before the refers to the material's initial condition.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The figure is the semicircle is rotated, then the orientation of the semicircle is just changed.
Then the figure that is congruent to the shape labeled with an asterisk (*) will be figure 'd'. Then the correct option is B.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ2
help me plz i want help
Answer:
the one on the upper left with the triangular form
Step-by-step explanation:
all the others only represent one of the possibilities
Jessa bought her home for $125,000 in 2010. Property values have increased 15% every year since she has owned the home. Which of the following equations can be used to represent the price of the home x years after 2010?
Answer:
y= 125,000 (1.15x)
Step-by-step explanation:
Answer: y = 125000(1.15)^x
Step-by-step explanation:
The formula we use is y = p(1 + r)^x p is price and r is rate
the initial price is $125000 and the rate is 15%, or 0.15.
y = 125000(1 + 0.15)^x
y = 125000(1.15)^x
The equations in this sytem were added to solve for x. What is the value of x? Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18. Negative 5 x = negative 10. x = negative 2 x = negative one-half x = one-half x = 2
Answer:
change your cringe username please lol
Step-by-step explanation:
jk heres the answer D, x = 2
The Value of x would be as follows:
2
Find the value of xGiven that,
Important Equations:
[tex]-8x + 8y = 8[/tex]
(i) [tex]3x - 8y = -18[/tex]
(ii) [tex]-5x - 0 = - 10[/tex]
(iii) Solving equation
By equation
(iii) [tex]x = -10 / -5[/tex]
∵ [tex]x = 2[/tex]
Thus, [tex]2[/tex] is the value of x.
Learn more about "equation solving," refer
brainly.com/question/112509
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Answer:
a(n) = 1(2.5)^(n - 1)
Step-by-step explanation:
The geometric sequence is 1, 2.5, 6.25, 15.625, and so on; the first term is 1. The common ratio is 2.5; each new term is 2.5 times the previous term.
The explicit formula desired is thus a(n) = 1(2.5)^(n - 1)
Answer:
ITS CCCCCCC (2.5)