What are the coordinates of the vertices of the triangle under the translation (x, y) mc011-2.jpg (x + 1, y - 4)?
(0, -3), (0, 0), (3, -3)
(-3, 0), (3, -3), (0, -3)
(0, -3), (-3, -3), (-3, 0)
(-3, 0), (0, 0), (-3, -3)
Answers
(-1,1) (-4,1) (-4, 4)
translation (x, y) to (x + 1, y - 4)
(0,-3) (-3,-3) (-3, 0)
answer
(0, -3), (-3, -3), (-3, 0)
it is c :
(0,-3), (-3,-3), (-3,0)
just take the X and Y of the coordinates of the original triangle and substitute it in the given equation (x + 1, y - 4)
try it out yourself it works :)
Related Questions
one of the models of a dinosaur used in filming of a movie was only 15in tall. In the movie, the dinosaur appeared to have an actual height of 20ft. What is the Scale of the model?
Answers
[tex]\bf \cfrac{model}{actual}\qquad 15:240\qquad \cfrac{15}{240}\implies \cfrac{1}{16}[/tex]
What is the value of x?
Enter your answer in the box.
x =
Answers
3x + 50 = 6x -10
add 10 to each side
3x +60 = 6x
subtract 3x from each side
60 = 3x
x = 60/3 = 20
x = 20
Samuel filled the glasses shown below completely with water. The total amount of water that Samuel poured into the glasses is 60 cubic centimeters. What is the height of glass 1? Round your answer to the nearest tenth. (Use π = 3.14.) Note that all measurements are in centimeters and images are not drawn to scale.
The possible answers are 0.2, 1.7, 3.9 or 5.6. When googled the answer always comes up 3.9. I always get 1.6527 which rounds up to 1.7. How about you?
Answers
volume of glass 2 = pi*r^2*h/3= 3.14 *2.5^2*6/3 = 39.25 cubic cm
60-39.25 = 20.75 cu cm was in 1st cup
volume of cylinder = pi *r^2 *h
20.75 = 3.14 *2^2 *h
20.75 = 3.14*4*h
20.75 = 12.56*h
h = 20.75 /12.56 = 1.652 round to 1.7
Answer:
The height of glass 1 is 1.7 cm.
Step-by-step explanation:
We are given the following information in the question:
The total amount of water that Samuel poured into the glasses is 60 cubic centimeters.
Volume of glass 2 = Volume of cone =
[tex]\displaystyle\frac{1}{3}\pi r^2h\\\\\text{Putting value of r and h}\\\\= \frac{1}{3}\times 3.14\times \frac{5}{2}\times \frac{5}{2}\times 6 = 39.25\text{ cubic cm}[/tex]
Volume of glass 1 =
[tex]\text{ Total Volume } - \text{Volume of glass 2}\\= 60 - 39.25\\= 20.75\text{ cubic cm}[/tex]
Volume of glass 1 = Volume of cylinder =
[tex]20.75 = \pi r^2h\\\text{where r is the radius of cylinder and h is the height of cylinder}\\\\\text{Putting the values of r}\\\\ 20.75 = 3.14\times \displaystyle\frac{4}{2}\times \frac{4}{2}\times h\\\\h = \frac{20.75}{3.14\times 2\times 2} 1.656 \approx 1.7[/tex]
Thus, the height of glass 1 is 1.7 cm.
Identify the binomial A. x2 −4x + 2 B. x2 C. x2 − 4 D. 2x2 + 3x −1 + y
Answers
A binomial is an expression that contains the sum of two distinct terms. In this case, the terms are x² and -4.
A) Contains 3 terms: x², -4x, and 2. Notice that, since x and x² have different exponents, they are considered distinct terms (you can't simplify the expression any further, unless you know what the value for x is)
B) Contains only one term, x²
D) Contains 4 distinct terms, 2x², 3x, -1, and y
Simplify three to the negative ninth divided by three to the negative twelfth.
Answers
Answer:
3^3
Step-by-step explanation:
What is 100x100 I need help :(
Answers
The solution is, the value is 100 x 100 =10000.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
100 x 100
i.e. we have to multiply 100 with 100
so, we get,
100 x 100
=10000
Hence, The solution is, the value is 100 x 100 =10000
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What is 25.4067 to the nearest hundredth
Answers
In model trains, O scale means the models are made using a 1:48 scale. In the U.S., real train tracks have rails that are 4 ft 8 in apart.
a. If miniature train track was made using O scale, how far apart should the rails be? Round to the nearest hundredth of an inch.
b. The word gauge refers to how far apart the model rails are. For some reason, O gauge track does not exactly use O scale, and O gauge rails are 1.25 inches apart. Find the relative difference of the rail spacing on O gauge track compared to what it should be if it followed O scale. Round to the nearest tenth of a percent.
Answers
Final answer:
The correct O scale model train track spacing should be 1.17 inches. However, the actual O gauge spacing is 1.25 inches. The relative difference in the rail spacing is approximately 6.8%.
Explanation:
To solve for the correct O scale model train track spacing:
Convert the real train track gauge to inches: 4 feet x 12 inches/foot + 8 inches = 56 inches.
Divide the real gauge by the scale factor of 48 to find the model gauge: 56 inches / 48 = 1.1667 inches.
Round the result to the nearest hundredth of an inch: 1.17 inches.
Now to calculate the relative difference between O scale and the actual O gauge:
Determine the actual O gauge spacing: 1.25 inches.
Calculate the difference in spacing: 1.25 inches - 1.17 inches = 0.08 inches.
Find the relative difference by dividing the spacing difference by the O scale spacing and then multiply by 100 to get the percentage: (0.08 inches / 1.17 inches) x 100 = 6.8%.
Round the result to the nearest tenth of a percent: 6.8%.
Use this equation to find dy/dx. 4y cos(x) = x2 + y2
Answers
don't worry about solving for y explicitly before differentiating.
(4y)cosx = x^2 + y^2
Apply product rule on the left,
and power rule on the right-hand terms,
(4y)'cosx + 4y(cosx)' = (x^2)' + (y^2)'
4y'cosx + 4y(-sinx) = 2x + 2yy'
4y'cosx - 4ysinx = 2x + 2yy'
Let's get both y' terms on the left side,
and everything else on the right,
4y'cosx -2yy' = 2x + 4ysinx
Factor y' out of each term,
y'(4cosx - 2y) = 2x + 4ysinx
Solve for y' (which is dy/dx) by dividing by the stuff,
y' = (2x + 4ysinx) / (4cosx - 2y)
You can divide a 2 out of everything to simplify it down a little bit.
y' = (x + 2ysinx) / (2cosx - y)
Brenda has a balance of d dollars in her piggy bank. Explain what value(s) d may have if d = 28
Answers
Brenda has a blance of 38 dollars in her piggy bank. What exactly do you still need to learn / know?
She might have 3-$10 bills, 1-$5 bill and 3-$1 bills. Other combinations are possible.
Earth's radius is about 261.4% of Mercury's radius.(2,440 km.)
what is the radius of Earth?
Answers
2.614 x radius of mercury = 2.614 x 2440 = 6378.16
therefore radius of earth is 6378.16
Earth's radius is approximately 6,378.96 km.
Explanation:To find the radius of Earth, we can use the information given in the question. We know that Earth's radius is approximately 261.4% of Mercury's radius, which is given as 2,440 km.
Let's set up an equation to solve for Earth's radius. Let x represent Earth's radius:
x = 261.4% * 2,440 km
Converting 261.4% to decimal form, we get 2.614. Multiplying this by 2,440 km, we find that Earth's radius is approximately 6,378.96 km.
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HELP I WILL GIVE BRAINLIEST!
what value of x makes the equation true? 9x - 15 - 2x = -60 + 9x
Answers
9x - 15 - 2x = -60 + 9x
-9x +2x -9x +2x
-15 = -60 + 2x
+60 +60
45 = 2x
45/2 = x
Hope this helps!
P: grass is green or Q: 3 is the square root of 10 (P ∨ Q)
Answers
You know that Q is false, because 3 is not the square root of 10, so the only possibility for P v Q be true is that P is true.
If that is the case, you have this relation:
T F ---> T
which means True and False imply True
Answer:
TFT
Step-by-step explanation:
in the diagram below,point O is the center of the given circle.
Answers
Love them or hate them, they do be spitting straight facts
Julian is mixing drops of food coloring to create green frosting for a cake. He uses 18 drops of yellow dye and 12 drops of blue dye. Find the ratio of drops of blue dye to total drops of dye. Express as a simplified ratio.
Answers
Answer:
The ratio would be 2:5
Explanation:
The ratio of drops of blue dye to total drops of dye is got by dividing drops of blue dye (12) by total drops, which is the sum of blue and yellow drops (12+18):
[tex]\displaystyle\frac{12}{12+18}=\frac{12}{30}[/tex]
Once we simplify the fraction by dividing both top and bottom by 6, we would get:
[tex]\displaystyle\frac{2}{5}[/tex]
Therefore, the ratio of drops of blue dye to total drops of dye is: 2:5
The simplified ratio of blue dye to total dye used by Julian is 2:5. This means that for every 2 drops of blue dye, there are 5 total drops of dye.
Explanation:The question is asking for the ratio of blue dye to the total amount of dye. Julian used 12 drops of blue dye and 18 drops of yellow dye, making the total number of dye drops 30 (12 blue + 18 yellow). Therefore, the ratio of blue dye to total dye is 12 to 30. However, this ratio can be simplified by dividing each figure by their greatest common divisor (gcd) which is 6. So, the simplified ratio is 2:5.
This means for every 2 drops of blue dye, there are 5 total drops of dye. It's a useful way of comparing quantities in mathematics or in everyday life circumstances like this one, where Julian is mixing dyes.
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What is the value of ▲ in the equation shown?
8 x 4 = ( ▲ x 7) - (▲ x 3)
= _____
Answers
8 times 4 = 32
8 times 7 =56
8 times 3 =24
56 minus 24 = 32
Answer:
8
Step-by-step explanation:
The planet Mercury has a diameter of 4,878 km whereas the Moon has a radius of 1736.5 km. Which object is larger and why?
Answers
Diameter=radius*2
Diameter=1736.5*2=3473
The moon has a diameter of 3473 km.
Since Mercury's diameter, 4878km, is greater than the Moon's diameter, 3473km, Mercury is larger.
Hope this helps!
The planet Mercury is larger than the Moon, because the radius of Mercury is greater than the Moon.
Here,
Given that;
The planet Mercury has a diameter of 4,878 km.
And, The Moon has a radius of 1736.5 km.
We have to find the larger planet.
What is the relation between radius and diameter?
The radius is half or the diameter of the object.
Now,
The planet Mercury has a diameter of 4,878 km.
Hence, The radius of Mercury = 4,878/2 = 2,439 km
And, The radius of the Moon = 1736.5 km
Clearly, 2,439 > 1,736.5
So, The planet Mercury is larger than the Moon, because the radius of Mercury is greater than the Moon.
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For the given function sin−1(9x + 1), the "inside" function is 9x + 1 and the "outside" function is
Answers
In the function sin⁻¹(9x + 1), the 'outside' function is sin⁻¹(x). This is because it is the function performing an operation on the 'inside' function, which is 9x + 1.
Explanation:For the function sin−1(9x + 1), the 'inside' function is indeed 9x + 1. The 'outside' function is sin⁻¹(x), also known as the inverse sine or arcsine function. In composite functions, the 'inside' function is the function that is being acted on, while the 'outside' function is the function carrying out the action on the inside function. So here, the action of sine inverse or arcsine is being performed on the 'inside' function 9x + 1.
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Darius and Matthew have three fruit bars. They are both hungry after playing football and decide to split the fruit bars evenly.
Answers
Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3)
Answers
dy/dx = 4-2x
dy/dx | x=1 : 4-2(1) = 4-2= 2
gradient= 2
Trey has answered 15 E-mails.This is 20% of E-mails he must answer.How many E-mails does he need to answer?
Answers
In how many ways can you receive four cards of the same face value and one card from the other 48 available cards?
Answers
13 x 48 = 624.
In the accompanying diagram angle 1 and angle 2 are supplementary what is m angle 3
Answers
F(x)=5(3-x)^2 what is f(-4)
Answers
f(x) = 5(3-x)^2
f(x) = 5*(3-x)^2
f(-4) = 5*(3-(-4))^2 ... replace every x with -4
f(-4) = 5*(3+4)^2
f(-4) = 5*(7)^2
f(-4) = 5*(49)
f(-4) = 245
-----------------------------------------
Final Answer: 245
Dale cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
Answers
Help for C if anyone knows, thanks
Answers
hope this helps!
:D
What is the sum and classification of 3/20 + sqrt of 10
A. 3.31227766..., irrational
B. 3.31227766..., rational
C.18.16227766..., irrational
D.18.16227766..., rational
Answers
Answer:
a
Step-by-step explanation:
Answer:
A. 3.31227766..., irrational
Step-by-step explanation:
We have been given two numbers. We are asked to find sum of given numbers and classify the type of number after addition.
[tex]\frac{3}{20}+\sqrt{10}[/tex]
[tex]0.15+3.1622776601683793[/tex]
[tex]3.3122776601683793[/tex]
We can see that [tex]\frac{3}{20}[/tex] is a rational number, while [tex]\sqrt{10}[/tex] is an irrational number as its digits are repeating infinitely after decimal.
We know that sum of a rational and irrational number is irrational, therefore the sum of given numbers is irrational and option A is the correct choice.
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6
Answers
Answer:
(y-6)
Step-by-step explanation:
[tex]y^2 - 10y + 24[/tex]
We need to find out two factors whose product is 24 and sum is -10
-6 times -4 = 24
-6 + -4 = -10
So two factors are -6 and -4
We write the factors inside the parenthesis
(y-6) (y-4)
Factor (y-4) is already given
So another factor is (y-6)
Final Answer:
y - 6
Explanation:
To find another factor of the quadratic expression (y^2 – 10y + 24) given that (y – 4) is one factor, we need to perform factorization. Let's find the factors of the constant term, 24, which when added together give us the coefficient of the middle term, which is –10.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.
We are looking for two factors of 24 that add up to –10, and since one of the given factors is (y – 4), we are specifically looking for factors that would give us ((y - 4)) when multiplied by a binomial of the form (y - n), where (n) represents the other factor.
Now, notice that the factors 6 and 4 add up to 10, and when multiplying two binomial factors, we actually find such that when expanded they give us the original quadratic expression. In this case, (6 times 4 = 24), and (-6 + (-4) = -10), which are our constant and coefficient of \(y\), respectively.
Therefore, we can write the quadratic expression as the product of two binomial expressions: ((y - 6)(y - 4))
Since we are already given that \(y - 4\) is a factor, the other factor must be (y - 6).
Write the percent as a fraction is lowest terms 65 1/2%
Answers
Work:
62.5%=62.5/100
=0.625
= 0.625/1 x 1000/1000
= 625/1000=5/8
Red jeans inc. sells jeans that cost $16.55 for a selling price of $35.99. The percent of markup based on cost is
Answers
------------------- = 117.5 %
16.55
Answer:
Markup percent = 117.50%
Step-by-step explanation:
Markup percent = (sales price - unit cost)/unit cos *100
Given: Unit cost = $16.55, sales price = $35.99
Now plug in these given values in the above formula, we get
Markup percent = (35.99 - 16.55)/16.55 *100
= (19.44/16.55)*100
= 117.50%
Hope this will helpful.
Thank you.