The vertices of d are -7,10 and e is -5,5 and f -8,1 and then translate these to 12 to the right, then what type of triangle is it? and then translate all of it up 9 units up, name the triangle and determine the coordinates
Answers
The triangle DEF, originally located at (-7,10), (-5,5), and (-8,1), is translated 12 units to the right and then 9 units up. The resulting triangle is an isosceles triangle.
To translate the triangle 12 units to the right, we add 12 to the x-coordinates of each vertex. The new coordinates of D, E, and F become (5, 10), (7, 5), and (4, 1) respectively. Next, we translate the triangle 9 units up by adding 9 to the y-coordinates of each vertex. The final coordinates are (5, 19), (7, 14), and (4, 10) for D, E, and F respectively.
By examining the transformed triangle DEF, we can determine its type. Since the distances between the vertices are not equal, it is not an equilateral triangle. However, if we calculate the distances between the vertices, we find that DE = EF = 5 and DF = 9. Since two sides have equal lengths, the triangle DEF is an isosceles triangle. The new coordinates for the translated triangle are (5, 19), (7, 14), and (4, 10).
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Related Questions
What is the value of x in the equation 2x + 3y = 36, when y = 6?
8
9
27
36
Answers
Answer:
x = 9
Step-by-step explanation:
we can plug in the given value for y into the equation to find x
2x + 3y = 36
2x + 3(6) = 36
2x + 18 = 36
2x = 18
x = 9
Answer:
x = 9
Step-by-step explanation:
2x + 3y = 36
Let y=6
2x+3(6) = 36
2x+18 = 36
Subtract 18 from each side
2x+18-18 =36-18
2x = 18
Divide by 2
2x/2 =18/2
x = 9
In problem 8-94 you found that if you are given three lengths to build the sides of a triangle, then if a triangle can be formed, all the triangles you could make were the same. Suppose you start with two triangles knowing that their three pairs of corresponding sides are the same, as shown in the diagram below.
Triangle, A B C, where side, A C, has one hatch mark, side, C B, has 2 hatch marks, and side, A B, has 3 hatch marks.
Triangle, P Q R, where side, R P, has one hatch mark, side, P Q, has 2 hatch marks, and side, R Q, has 3 hatch marks.
Examine the diagram. What do you think the markings indicate? Name the pairs of corresponding sides.
What can you say about the two triangles and why? What can you say about their angles? Why?
Answers
Find the solution point(s) for the system of equations given by y = 2x^2 + 5x – 10 and 4x – y = –11
Answers
Answer:
the solution points for the system of equations are (3, 25) and (-7/2, -7).
Step-by-step explanation:
We can solve this system of equations using substitution or elimination. Here, we will use the substitution method:
Substitute y = 2x^2 + 5x - 10 into the second equation:
4x - (2x^2 + 5x - 10) = -11
Simplifying the left side of the equation:
4x - 2x^2 - 5x + 10 = -11
Rearranging the terms:
2x^2 - x + 21 = 0
Using the quadratic formula:
x = (-(-1) ± sqrt((-1)^2 - 4(2)(21))) / 2(2)
x = (1 ± sqrt(169)) / 4
x = (1 ± 13) / 4
Simplifying:
x = 3 or x = -7/2
Now, substitute each value of x back into one of the original equations to find the corresponding value(s) of y:
For x = 3:
y = 2(3)^2 + 5(3) - 10 = 25
So one solution point is (3, 25).
For x = -7/2:
y = 4(-7/2) + 11 = -7
So the other solution point is (-7/2, -7).
Therefore, the solution points for the system of equations are (3, 25) and (-7/2, -7).
What two numbers satisfy the following two conditions?
-Multiplies to -50
-Adds to 23
Answers
Answer:
-25 and 2
Step-by-step explanation:
Answer:
-2 and 25
Step-by-step explanation:
-2*25=-50
25+(-2)=23
Three fourths of a class brought bundles of old papers to school. If 40 students were in class, how many students brought papers?
Answers
Answer:
300 students
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
30 students brought papers.
What is fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Given
3/4 th of 40 brought papers
students brought paper = 3/4 *40 = 3*10 = 30
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(WILL GIVE BRAINLIEST)
What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common?
Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.
Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).
Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.
Answers
Functions can be represented using equations and graphs Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
How to determine the key features?The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.
The functions are given as:
\(F(x)=e^{-x}\\\\\\g(x)=-\sqrt{x-4}\)
Using a graphing calculator:
The domain of g(x) is [4, ∞)
The range of g(x) is [0, ∞)
The domain of f(x) is (–∞, ∞),
The range of f(x) is [0, ∞)
Both functions have positive values for their domains
By comparing the above highlights, the true statement between functions g(x) and f(x) is option 3
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Answer:
Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).
Step-by-step explanation:
I got it right on the test.
This isn't something specific I need to know for school, I'm just curious. I know the most commonly used variables are x, y, and z. But what if you have more then three variables, what are the next letters you are supposed to use?
Answers
Answer:
Any letter you want
Step-by-step explanation:
The letters used for variables don't matter. What matters is what the variables represent: their numerical value. Variables are just to help identify what needs solving. Other common variables are a, b, and c which are found frequently in trigonometry. To answer your question, there are no "next letters." You can use any letter you'd like as a variable because it holds the same numerical value. Basically, the whole alphabet is at your disposal.
Post a short discussion on Double-Angle, Half Angle and
Reduction Formulas.
Answers
Trigonometric functions can be evaluated in many ways, but these can be transformed using different trigonometric identities. Double-Angle, Half-Angle, and Reduction Formulas are some of the identities that can help to express the function in simpler ways and can be beneficial in evaluating the trigonometric functions.
The formulae that aid in transforming a product of trigonometric functions to a single term is called Double-Angle formula. The double-angle formulae can be used to convert the trigonometric function with argument twice that of the original one. The half-angle formulae are used to decrease the argument by half for trigonometric functions. It is useful to decrease the angle to enable better evaluation of the trigonometric function.
The reduction formula is an identity that helps to reduce the powers of trigonometric functions. It is used to reduce the powers to lower values by expressing it as a function of lower order. It helps to make it easier to evaluate the functions for large values and integral values. In a nutshell, these formulas are the tools to simplify the computations of trigonometric functions, making them easier to evaluate and solve.
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A new yo-yo factory is operating at 80 percent
of capacity and produces 4,000 yo-yos daily.
when the factory reaches 100 percent of
capacity, how many yo-yos should be
produced each day?
a.
800
b. 3,200
c. 4,800
d. 5,000
e. 7,200
Answers
100% = (?)
(?) = 4000 x 100/80
= 5,000 yo-yos
Please help. I will give the best answer brainliest.
Answers
i cant explain in English sorry but i wrote it down
5½x2½= plzz help i need it
Answers
Answer:
Step-by-step explanation:
55/4 or 13 3/4
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answers
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation:
Express the following fraction in simplest form using only positive exponents.
(3u^2)^5/3u^4
Answers
The expression is given as 3u⁶
How to determine the valueFirst, we need to know that index forms are defined as forms that are used for representing numbers or variables in more convenient forms.
We also need to know that the rules of index forms are;
Subtract the exponents when dividing forms of like bases Add the exponents when multiplying forms of like basesFrom the information given, we have that;
(3u²)⁵/ 3u⁴
expand the bracket
3u¹⁰/3u⁴
Now, subtract the exponents, we have;
3u¹⁰⁻⁴
3u⁶
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If I have 48 cards and and gave 10 to my friend and I have 38 left what what fractionbb be is my original number of cards
Answers
Question isn't well formatted :
If I have 48 cards and and gave 10 to my friend and I have 38 left. what fraction of original number of card do I have left.
Answer:
0.7917
Step-by-step explanation:
If I have 48 cards and and gave 10 to my friend and I have 38 left what what fractionbb be is my original number of cards
Given that :
Total number of cards = 48
Number given to friend = 10
Number of cards left = 48 - 10 = 38
Number of cards left / original number of cards
38 / 48
= 0.7917
what is the mass of a 7.91cm3 piece of lead having a density of 11.34g/cm
Answers
Answer:
89.6994g
Step-by-step explanation:
M = DV
= 11.34g/cm^3 * 7.91cm^3
= 89.6994g
Hope this helps!
A skyrocket is launched from a 30–foot-high platform, with initial speed 300 ft/s. If the polynomial −16t2 + 300t + 30 gives the height that the rocket will rise in t seconds, how high will a rocket with a 2–second fuse rise? The rocket will rise feet.
Answers
Answer:
566 ft
Step-by-step explanation:
Given the polynomial equation
-16t² + 300t + 30 = 0
We're asked to find how high the rocket would rise in a 2 second fuse rise. This is a simple instruction that can be obtained by setting the unknown, t, in the equation to 2. Doing this, we have
-16 * 2² + 300 * 2 + 30
-16 * 4 + 600 + 30
-64 + 630 = 566 ft
Then, we can therefore conclude that the rocket will rise high up to a distance of 566 ft
based on the residual plot shown, is a linear model appropriate for comparing tree age to basal area? because the residuals are centered about zero, a linear model is appropriate. because the residual plot does not show a clear pattern, a linear model is appropriate. because the residual plot shows a random a scatter of points, a linear model is not appropriate. because the residual plot does not appear linear, it is likely that tree age and basal area do not have a linear relationship.
Answers
Answer:
Because the residual plot does not show a clear pattern, a linear model is appropriate.
Step-by-step explanation:
5
t(x) =5/2x+-4
Find t(6)
Answers
Answer:
t= 5/2 - 4/x
Step-by-step explanation:
what is arc length calculus formula?
Answers
Arc length formula is L = ∫a^b √[1 + (dy/dx)^2] dx . The arc length of a curve is the length of the curve between two points, and it can be calculated using the arc length formula in calculus.
The arc length formula can be used to find the length of a curve in terms of the function that describes the curve.
The arc length formula is given by:
L = ∫a^b √[1 + (dy/dx)^2] dx
where L is the arc length of the curve, a and b are the endpoints of the curve, dy/dx is the derivative of the function that describes the curve with respect to x, and ∫ represents the integral of the function over the interval from a to b.
To use the formula, we first find the derivative of the function that describes the curve, dy/dx. Then we plug this expression into the arc length formula and integrate the expression over the interval from a to b to find the arc length of the curve.
The arc length formula is useful in many applications, such as physics, engineering, and geometry, and it allows us to find the length of a curve even when it is not a straight line.
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Find the volume. Worth 20
Answers
Answer: 475
Step-by-step explanation: i am in middle school so I think its this
hELP ME PLEASE I AM BEING KIDNAPEPDE PPSLSPJdBD
Answers
Answer:
u good
Step-by-step explanation:
why are u on brainly-
Helps me solve this problem please 12 and 14
Answers
Answer:
12 is C and 14 is A
Step-by-step explanation:
HELPPPP PLS EXPLAIN (image included)
Answers
Answer:
2.5 inches per year.
Step-by-step explanation:
2 yrs= 5in
4 yrs= 10in
10in divided by 4 equals: 2.5in
Answer:
2.5 inches per year
Step-by-step explanation:
the slope m of the line gives the measure of the rate of change.
using the slope formula to find m
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 10) ← corresponding points for 2/ 4 years
m = \(\frac{10-5}{4-2}\) = \(\frac{5}{2}\) = 2.5
rate of change is then 2.5 inches per year
Priya, jada, Han, and Diego stand in a circle and tak Priya says, SAFE. Jada, standing to Priya's left, says, OUT and leaves the circle. Han is next: are left. They continue to alternate. Priya says, SAFE. Han says, OUT and leaves the circle. he says, SAFE. Then Diego says, OUT and leaves the circle. At this point, only Priya and Han Priya is the only person left, so she is the winner. Priya says, "I knew I'd be the only one left, since I went first." 1. Record this game on paper a few times with different numbers of players. Does the person who starts always win? 2. Try to find as many numbers as you can where the person who starts always wins. What patterns do you notice?
Answers
The person who starts Priya does not always win, but rather the outcome depends on whether the total number of players is even or odd.
Let's record the game on paper for different numbers of players and see if the person who starts always wins.
Case 1: Two Players (Priya and Jada)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Priya is the winner. The person who starts (Priya) wins.
Case 2: Three Players (Priya, Jada, and Han)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Round 3: Han says SAFE.
Priya is the winner. The person who starts (Priya) wins.
Case 3: Four Players (Priya, Jada, Han, and Diego)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Round 3: Han says SAFE.
Round 4: Diego says OUT and leaves the circle.
Priya is the winner. The person who starts (Priya) wins.
From these examples, we can see that when the number of players is even, the person who starts always wins.
To find more numbers where the person who starts always wins, let's consider some additional cases:
Case 5: Six Players (Priya, Jada, Han, Diego, Alex, and Mia)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Round 3: Han says SAFE.
Round 4: Diego says OUT and leaves the circle.
Round 5: Alex says SAFE.
Round 6: Mia says OUT and leaves the circle.
Priya is the winner. The person who starts (Priya) wins.
Case 6: Eight Players (Priya, Jada, Han, Diego, Alex, Mia, Ethan, and Lily)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Round 3: Han says SAFE.
Round 4: Diego says OUT and leaves the circle.
Round 5: Alex says SAFE.
Round 6: Mia says OUT and leaves the circle.
Round 7: Ethan says SAFE.
Round 8: Lily says OUT and leaves the circle.
Priya is the winner. The person who starts (Priya) wins.
Based on these examples, we can observe that when the number of players is a multiple of 2, the person who starts always wins. There seems to be a pattern here: if the number of players is even, the starting person wins, while if the number of players is odd, the starting person loses.
Therefore, the person who starts does not always win, but rather the outcome depends on whether the total number of players is even or odd.
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for each initial value problem, determine whether picard’s theorem can be used to show the existence of a unique solution in an open interval containi
Answers
Picard's theorem can be used to show the existence of a unique solution in an open interval if certain conditions are met.
What are the conditions for applying Picard's theorem to an initial value problem?To apply Picard's theorem, the following conditions must be satisfied:
Existence of a continuous function: The function defining the differential equation must be continuous in a region containing the initial point.
Lipschitz condition: The function must satisfy a Lipschitz condition with respect to the second variable. This means there exists a constant, denoted by L, such that the absolute value of the difference between the function values divided by the difference in the second variable is less than or equal to L for all points in the region.
If these conditions are met, then Picard's theorem guarantees the existence of a unique solution to the initial value problem in an open interval containing the initial point.
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exam scores were normal in MIS 200. Jason's exam score was 1.41 standard deviations above the mean. What percetnile is he in
Answers
Jason's exam score was 1.41 standard deviations above the mean, and we need to determine what percentile he falls in. A normal distribution is used to solve the problem because we know that exam scores were normal. The mean of the exam scores is zero, while the standard deviation is one.
The area under the normal distribution curve can be determined using the standard normal distribution table. Jason's exam score is located 1.41 standard deviations above the mean. As a result, the proportion of students that scored lower than Jason is the same as the area under the normal distribution curve to the left of his exam score. This proportion can be found in the standard normal distribution table.
The standard normal distribution table provides the area to the left of a given Z-score or number of standard deviations from the mean. Jason's Z-score is 1.41, so we'll need to look up the area to the left of 1.41 in the standard normal distribution table. According to the standard normal distribution table, the area to the left of 1.41 is 0.9207. This means that 92.07% of students scored lower than Jason in the exam, so Jason is in the 92.07th percentile. He performed better than 92.07% of the students who took the exam in the class.
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A school is arranging a field trip to the zoo. The school spends 823.68 dollars on passes for 35 students and 4 teachers. The school also spends 297.85 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answers
823.68/39 =21.12
Lunch 297.85/35 = 8.51
Total for each student is 29.63 dollars
The equation of the ellipse that has a center at ( 3 , 1 ) (3,1), a focus at ( 7 , 1 ) (7,1), and a vertex at ( − 2 , 1 ) (-2,1), is ( x − C ) 2 A 2 + ( y − D ) 2 B 2 = 1 (x-C)2A2+(y-D)2B2=1
Where:
A=
B=
C=
D=
Answers
The equation of the ellipse with a center at (3, 1), a focus at (7, 1), and a vertex at (-2, 1) is given by \(\(\frac{{(x - 3)^2}}{{36}} + \frac{{(y - 1)^2}}{{25}} = 1\).\). In this equation, A = 6, B = 5, C = 3, and D = 1.
To find the equation of the ellipse, we need to determine the values of A, B, C, and D in the general form equation \(\[\frac{{(x - C)^2}}{{A^2}} + \frac{{(y - D)^2}}{{B^2}} = 1\]\)for an ellipse. The center of the ellipse is (C, D), so C = 3 and D = 1.
The distance between the center and each focus is given by the value of A, so we can calculate A as the distance between (3, 1) and (7, 1), which is 4. Therefore, A = 4.
The distance between the center and each vertex is given by the value of B, so we can calculate B as the distance between (3, 1) and (-2, 1), which is 5. Hence, B = 5. Plugging these values into the general form equation, we get \(\(\frac{{(x - 3)^2}}{{36}} + \frac{{(y - 1)^2}}{{25}} = 1\)\) as the equation of the ellipse.
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The table shows some values of f(x) and g(x) for different values of x:
x f(x) = 2x + 24 g(x) = 5(0.5)x
−2 20
−1
0 5
1 2.5
2 28
Complete the chart and determine the solution of the equation f(x) = g(x).
Answers
Answer:
(f + g)(2) = 10, (h – g)(2) = –9, (f × h)(2) = –12, (h / g)(2) = –0.5Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
Multiply and simplify. y^3 . y^5 . y^-2 .y
A. y^-4
B. 1/y^4
C. y^-5
D. 1/ y^3
Answers
Answer:
y^7
Step-by-step explanation:
y^3 . y^5 . y^-2 . y
= y^3 . y^5 . y^-2 . y^1
= y^( 3 + 5 - 2 + 1 )
= y^( 3 + 5 + 1 - 2 )
= y^( 9 - 2 )
= y^7