Triangle BCD has vertices B(-8, 3), C(-4, 6), and D(2,0). If the triangle is reflected across the x-axis and dilated by a scale factor of 0.5 with respect to
the origin, what are the coordinates of the vertices of triangle B'C'D'?
A. B'(-4, 1.5), C'(-2,-3), D'(1, 0)
B. B'(-8, 3), C (-4,-6), D (2,0)
C. B*(-4,2), C (-2,-3), D'(1, 0)
D. B(-16, 6), C'(-8, -12), D'(4,0)
Answers
Answer: B'(-4, 1.5), C'(-2,-3), D'(1, 0)
Step-by-step explanation:
The coordinates of the vertices of triangle B'C'D' is B'(-4, 1.5), C(-2, 3) and D(1, 0)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in size of a figure. If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).
Given that Triangle BCD has vertices B(-8, 3), C(-4, 6), and D(2,0). If it is dilated by a factor of 0.5, the new point is at:
B'(-4, 1.5), C(-2, 3) and D(1, 0)
The coordinates of the vertices of triangle B'C'D' is B'(-4, 1.5), C(-2, 3) and D(1, 0)
Find out more at: https://brainly.com/question/13176891
Related Questions
Find the volume of the sphere. Round to the nearest tenth.
The volume is about _____ cubic meters.
Answers
(Sorry for my brothers dirty ipad-) but can someone answer this for him? points: 52
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Answer:
12 students
Step-by-step explanation:
CLEAN THAT IPAD FOR HIM
Answer:
12 students went to the beach fewer than 2 times.
Step-by-step explanation:
Just count the total number of dots that come before 2.
Show your work
2) Is(-3,-7) a solution to
4x – 8y < 24
Show your work
Answers
Answer: false, 44 is not less than 24
Step-by-step explanation:
Substitute-3 for x and -7 for y.
4(-3)-8(-7)<24
-12+56<24
44<24
David borrows $15,000 for a new car. He is
charged 6% simple interest per year. How much
interest is charged for 5 years?
Answers
Find the distance between (9, 0) and (6, -8)
Answers
Answer:
[tex]\sqrt{73}[/tex] units (or about 8.5 units, rounding to the nearest tenth)
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (9,0) and (6,-8) into the formula and simplify:
[tex]d= \sqrt{(9-6)^2+(0+8)^2} \\d = \sqrt{(3)^2+(8)^2}\\d = \sqrt{9+64} \\d = \sqrt{73}[/tex]
So, as an exact answer, the distance is [tex]\sqrt{73}[/tex] units.
To find the decimal approximation of that, put that value into a calculator. So, rounding to the nearest tenth, [tex]\sqrt{73}[/tex] is about 8.5 units.
can anyone answer these? it would be appreciated:)
Answers
Answer:
Step-by-step explanation:
help me u get brainliest plus more points :D
Answers
Answer:
6 is 56.25
7 is 97.50
Step-by-step explanation:
Which expressions are equivalent?
3x-7y and -7y+3x
3x-7y and 7y-3x
3x-7y and 3y-7x
3x-7y and -3y+7x
Answers
Answer:
first one
Step-by-step explanation:
Because the coefficient of x is 3 and coefficient of y is-7
Answer:
A
Step-by-step explanation:
Please help me if you can!
Answers
So theres an equation here....
p<_ 7.5
Omar can buy at least_____pairs of socks.
Options:-
1. He can buy at least 7 socks
2. He can buy at most 7 socks
3. He can buy at least 8 socks.
4. He can buy at most 8 socks
ALSO I NEED THIS ASP PLUS BRAINLIEST
10 points tho bc ppl steal points and dont answer :/
Answers
Answer:he can buy at least 7 pairs of socks
Step-by-step explanation:
Subtract and simplify your answer.
7/18-2/9
Answers
Answer:
Step-by-step explanation:
7/18-2/9=7/18-4/18=3/18=1/6
Answer:
1/6.
Step-by-step explanation:
7/18−2/9=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(7/18, 2/9) = 18
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(7/18×11)−(2/9×22)=?
Complete the multiplication and the equation becomes
7/18−4/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
7−4/18=3/18
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using
GCF(3,18) = 3
3÷3/18÷3=1/6
Therefore:
7/18−2/9=1/6
The hypotenuse of a right triangle is 12.4 ft. One of the other two sides is 5.8 ft How
long is the third side?
Answers
a^2 + b^2 = c^2
Hypothenuse = 12.4
Let’s assume a = 5.8
Plug into the equation
5.8^2 + b^2 = 12.4^2
33.64 + b^2 = 153.76
b^2 = 120.12
b = square root of 120.12
10.9599270071 (calculator used)
Solution: around 11 ft
A circle's radius is 14 centimeters.
What is the circle's circumference (use 3.14 for pi and round to
nearest tenth)?
Answers
Answer:
seeee this is y i hate math too many numbers XD
During the flight of a projectile the x component of the velocity is
A.same during its whole journey
B.maximum when it hits the ground
C. Zero at the highest point
D. Maximum when it leaves the ground
Answers
Answer:
D. Maximum when it leaves the ground
14^-3 x 14^12
positive exponents
Answers
Answer:
20661046784
Step-by-step explanation:
I couldn't get the pos exponent but hopefully this helps
Can someone please give me this answer
Answers
Answer:
42°
Step-by-step explanation:
According to Exterior Angle Theorem,
an exterior angle of a ∆ is equal to the sum of the opposite interior angles.
So,
h+96°=138°
h=138°-96°
h=42°
A train arrives at a station and waits 3.5 minutes before departing. Another train arrives at the station 16 minutes later, repeating the cycle. Identify the probability that a train will not be at the station when you arrive.
Answers
Step-by-step explanation:
so we can safely say that one train will be there for 3.5 minutes and it will be gone for 16 minutes before another train comes and repeats the cycle.
we want how many minutes that the train will not be there over the total time that is possible so that would be
16/(16+3.5)
16/19.5
32/39
Hope that helps :)
The probability of the train not being at the station on arrival would be:
0.82
Find the probabilityGiven that,
The duration for which the train makes = 3.5 minutes
The time at which the second train arrives = 16 minutes later
We know that this cycle is repeated.
The duration for which the train is not there would be:
[tex]= 16/(16+3.5)[/tex]
[tex]= 16/19.5[/tex]
[tex]= 32/39[/tex]
[tex]= 0.82[/tex]
Thus, 0.82 is the probability.
Learn more about "Probability" here:
brainly.com/question/8069952
If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answers
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
when do we say two points are said to be collinear
Answers
Answer:
never heard of that word lol
Step-by-step explanation:
Find the area of the square.
A =
m4
2
Answers
The side is 1/3
1/3^2 = 1/9
The area would be 1/9m^2
Consider function f, where B is a real number.
f(x)=tan(Bx)
Complete the statement describing the transformations to function f as the value of B is changed.
As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).
Answers
Using the concept of the tangent function, it is found that:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
---------------------------------
Tangent function:
It is given by:
[tex]f(x) = \tan{Bx}[/tex]
The period is [tex]P = \frac{\pi}{|B|}[/tex].The frequency is [tex]F = \frac{1}{P} = \frac{|B|}{\pi}[/tex].---------------------------------
The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get [tex]f(x) = \tan{-Bx} = f(-x)[/tex], thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).---------------------------------
Considering the three bullet points above, the correct option is:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
A similar problem is given at https://brainly.com/question/16828446
Answer:
got it right
Step-by-step explanation:
In the image below, line q is parallel to liner, and line s is a transversal.
D
9
B
What is the relationship between the measures of ZAand ZB?
The measures of Aand ZB are
becuase they are
Answers
Answer:
equal
alternate exterior angles
Step-by-step explanation:
The measure of given angles are equal to each other because they are alternate exterior angles,
Question 10 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
5
(-3,1)
(0,0)
5
-5
O A. y=-x
O B. y= 3x
O C. y=1
Х
O D. y= x
O E. y=-3x
O F. y = x
Answers
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D
4.09434456 rounded to the nearest thousand
Answers
Answer:
4.094
Step-by-step explanation:
in our thousandths spot is the 4 4.094, in our ten-thousandths spot is the 3 4.0943, so we do not add one, so our final answer is 4.094
A fruit basket is filled with eight bananas, three oranges, five apples, and six Keewee ‘s.
Answers
Answer:
A. bananas
Step-by-step explanation:
6-3= 3
8-4= 4
3-3= 0
4-4= 0
A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013
Answers
Answer:
Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since 2013 and is significantly different from 45%
Step-by-step explanation:
Sample size, n = 3603
x = 1697
Phat = x/n = 1697/3603 = 0.4709 =47.09%
H0 : p = 0.45
H1 : p > 0.45
The test statistic :
(phat - p) / sqrt[(p(1 - p)) /n]
(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]
0.0209 / 0.00828810932
Test statistic = 2.5217
The Pvalue :
Using the Pvalue from Test statistic calculator ; α = 0.05 ;
Pvalue at 95% confidence = 0.005839
Pvalue < α ;
Hence, we reject the Null
Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since 2013.
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answers
Answer:
Long = 5√3
Step-by-step explanation:
Hypotenuse = 10
Short = 5
Long = ?
Apply Pythagorean theorem to find Long:
Long² = hyp² - short²
Long² = 10² - 5²
Long² = 100 - 25
Long² = 75
Long = √75
Long = √(25*3)
Long = 5√3
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?
Answers
Answer:
640
Step-by-step explanation:
Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd
You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?
Answers
Answer:
I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance
Step-by-step explanation:
please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.
Suppose tie structural equations of 3 economies are given as: AD = C +10 C =250 + 0.8Y I0 = 200 Find the equilibrium values of Y and C
Answers
Answer:
Step-by-step explanation:
LMAFOOOOOOOOOOOOOOOOOOOOOO