Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is AAA and scale factor is \dfrac{1}{4} 4 1 ​ start fraction, 1, divided by, 4, end fraction.

Answers

Answer 1

The coordinates of the resulting image will be at (1, 1), (3, 4) and (1, 2)

Dilation

Assuming the coordinate of the triangle ABC is A(4, 4), (12, 16) and (-4, -8).

If the coordinate is dilated by a factor of 1/4, the resulting coordinates will be at:

A' = (4/4, 4/4) = (1, 1)

B' = (12/4, 16/4) = (3, 4)

C' = (-4/4, -8/-4) = (1, 2)

Hence the coordinates of the resulting image will be at (1, 1), (3, 4) and (1, 2)

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Related Questions

f(x+3)=2x+5 find f(x)​

Answers

Answer:

Hello,

f(x)=2x-1

Step-by-step explanation:

[tex]f(x+3)=2x+5\\\\Let\ say\ x=y-3\\\\f(y-3+3)=2(y-3)+5\\\\\\f(y)=2y-6+5\\\\f(y)=2y-1\\\\\boxed{f(x)=2x-1}\\[/tex]

Find the reciprocal of 4/5

Answers

Answer:

its 5/4! haha i used to be good at this when i was in 6th grade:)

Find the probability for one roll of a number cube.

P(number greater than or equal to 7)

Answers

Answer:

Step-by-step explanation:

there is no number of 7 or greater.

P(≥7)=0/6=0

Will Mark Brainlest Help pls​

Answers

Answer:

can you snap it again it's not clear

3. Find x.
Please help me

Answers

Answer:

A. 29.91

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(41) = 26 / x

0.869... = 26/x

26 / 0.869... = x

x = 29.91...


Solve the quadratic equation numerically (using tables of x- and y-values).
x^2 +
+ 2x + 1 = 0
x = -1 or x = -1
x= -3 or x = -3
b.I x= -4 or x= -3
d. x = 2 or x = -1
a
C.
Please select the best answer from the choices provided
A
B
ОО

Answers

The best answer from the choices provide is x = -1 or x = -1

Given the expression

[tex]x^2 + 2x + 1 = 0[/tex]

Factorizing the given expression

[tex](x^2 +x)+(x + 1) = 0\\[/tex]

Factor out the common variable from both brackets

[tex]x(x+1)+1(x+1)=0\\(x+1)(x+1)=0\\x+1 \ and \ x+1=0\\x =0-1 \ and \ x=0-1\\x=-1 \ and \ x =-1[/tex]

Hence the best option is x = -1 or x = -1

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The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].

We can estimate the roots by a numerical approach, which consists in evaluating the quadratic function ([tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex]) for a set of values of [tex]x[/tex]. We consider the set of values between [tex]-4\le x \le 4[/tex]:

[tex]\,\,\,\,\,\,x \,\,\,\,\,\,\,\,f(x)\\-4\,\,\,\,\,\,\,\,\,\,\,\,9\\-3\,\,\,\,\,\,\,\,\,\,\,\,4\\-2\,\,\,\,\,\,\,\,\,\,\,\,1\\-1\,\,\,\,\,\,\,\,\,\,\,\,0\\.\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\,1\\.\,\,\,1\,\,\,\,\,\,\,\,\,\,\,\,\,4\\.\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,9\\.\,\,\,3\,\,\,\,\,\,\,\,\,\,\,\,\,16\\.\,\,\,4\,\,\,\,\,\,\,\,\,\,\,\,\,25\\[/tex]

According to the previous input, we conclude that roots of the quadratic formula are [tex]x_{1} = x_{2} = -1[/tex].

The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].

Find the income tax of the following cases annual salary=8000,allowance=1450,rate of tax=12℅ ​

Answers

Answer: don't know

Step-by-step explanation:

help me please I'm not sure if im right​

Answers

Answer:

291 cm³

Does the answer help you?

The graph below shows the solution to which system of inequalities


Helpppp

Answers

Answer:

Step-by-step explanation:

Help me plz it’s due today

Answers

Answer:

10x²−9x

Step-by-step explanation:

10x²−10x−6+x+6

=10x²−10x−6+x+6

Combine Like Terms:

=10x²−10x−6+x+6

=(10x²)+(−10x+x)+(−6+6)

=10x²−9x

I hope this answer helps you out! Brainliest would be appreciated :)

Answer:

10x^2=9x

Step-by-step explanation:

Add them together into one equation

10x^2 - 10x - 6 + x + 6

Now add like terms. The -6 and 6 cancel eachother out since they equal 0

10x^2 - 10x +x

You should get 10x^2 - 9x

Solve the equation for all values of x.
- 2x(– 8)(10x + 1) = 0
From deltamath.com

Answers

Answer:

Hi I'm going to answer the question is 0

Step-by-step explanation:

-2x(-8)(10x+1)=0

Multiply -2 times -8 is 16

16x(10x+1)=0

Use the distributive property to multiply 16x by 10x+1

[tex] {160}^{2} + 16 = 0 \\ [/tex]

Factor out x.

x(160x+16)=0

To find equation solutions, solve x=0 and 160x+16=0

x=0

x=

[tex] - \frac{1}{10} [/tex]

Select the correct answer. What is the completely factored form of this polynomial? 5x4 + 20x3 − 105x2 A. 5x3(x + 3)(x − 7) B. 5x2(x − 3)(x + 7) C. 5x3(x − 3)(x + 7) D. 5x2(x + 3)(x − 7)

Answers

Answer:

B.5: 5^2(-3)(+7)

Step-by-step explanation:

1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).

2. ^2 is also a factor, so now its 5^2(^2+4-21)

3. Factor by Grouping 5^2(^2−3+7−21)

4. Factor by Grouping 5^2((−3)+7(−3))

5. Factor by Grouping 5^2(−3)(+7)

Thats your final answer.

Find the value of x

Answers

Answer:

C

Step-by-step explanation:

Using exterior angle property, we have 97+4x+7=17x+13. 13x=91, x=7

If a semi-circle was rotated about the y-axis, like the one shown below, what would be the resulting three-dimensional shape?
Pyramid
Cylinder
Sphere
Cone

Answers

Answer:

Step-by-step explanation:

This rotation would create a sphere.

If a semi-circle is rotated about the y-axis of the graph, then the resulting three-dimensional shape will be a sphere.

What is a semi-circle?

A semicircle is a half-circle formed by a one-dimensional locus of points.

What is a sphere?

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space.

If a semi-circle is rotated about the y-axis of the graph, then the resulting three-dimensional shape will be a sphere. This is because of the fact that when the semi-circle will be rotated about the y-axis then all the points will be at equal distance in all the directions from the centre.

Learn more about Sphere:

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Daniel incorrectly solved the equations shown. Explain what he did wrong in each situation and then solve both equations correctly. 16x2 - 9 = 16
V16x2 - 19 - + 16
4x - 3 - +4
4x = +7
* = 14
(a)
IN
y3 - 1 = 7
= 8
(b)
y = 2

Answers

Step-by-step explanation:

the scanned description is very hard to understand.

so I think what happened :

16x² - 9 = 16

then the first error :

sqrt(16x²) - sqrt(9) = sqrt(16)

that is wrong, as you cannot split a + or - operation inside a sqrt function into + or - separate sqrt results of the parts.

so, correctly, the only possible transformation involving sqrt for both sides :

sqrt(16x² - 9) = sqrt(16)

but it would be even easier to clean up the various constant numbers with each other.

so,

16x² - 9 = 16

16x² = 25

and now we trashes the square root

sqrt(16x²) = sqrt(25)

4x = 5

x = 5/4 or x = -5/4

and I cannot see or understand for my life what the second equation was, as Daniel did something wrong, so I cannot deduct the original equation out of a supposedly wrong

y³ - 1 = 7

Help me pls asappp with Pythagorean theorem

Answers

Begged dhbsnsysvs dybsdtd days s

given m||n, find the value of x

Answers

Answer:

x =  127º

Step-by-step explanation:

y = 127º    {Corresponding angles}

x = y      {Vertically opposite angles}

x = 127º

Please hurry I will mark you brainliest

What is the equation of the line through the point (2, 3) with slope -2?

Answers

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2x+b

Using the point

3 = -2(2)+b

3 = -4+b

3+4 = b

7=b

y = -2x+7

y = -2x + 7, hope this helps:)

Roberto watched 5 more hours of tv than Jamie last week. Together, they watched a total of 23 hours of tv last week. How many hours did Roberto watch

Answers

Answer: 14 hours

Step-by-step explanation:

Let the number of hours of TV that Jamie watched be represented by x.

Since Roberto watched 5 more hours of tv than Jamie last week, therefore the number of hours of TV that Roberto watched will be: x + 5

Together, they watched a total of 23 hours of tv last week. Therefore,

x + (x + 5) = 23

2x + 5 = 23

2x = 23 - 5

2x = 18

x = 18/2

x = 9

Jamie watched 9 hours of TV

Therefore, Roberto watched x+ 5 = 9 + 5 = 14 hours

Solve for x. Type your answer below.


5(2x−12)=​−90

Answers

Hi there!

[tex]\large\boxed{x = -3}[/tex]

Begin by distributing the 5:

5(2x) + 5(-12) = -90

Simplify:

10x - 60 = -90

Add 60 to both sides:

10x = -90 + 60

10x = -30

Divide both sides by 10:

x = -3

Answer:

x = -3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 5 from both sides of the equation:

5(2x - 12) = -90

(5(2x - 12))/5 = (-90)/5

2x - 12 = -90/5

2x - 12 = -18

Next, add 12 to both sides of the equation:

2x - 12 (+12) = -18 (+12)

2x = -18 + 12

2x = -6

Finally, divide 2 from both sides of the equation:

(2x)/2 - (-6)/2

x = -6/2

x = -3

-3 is your answer for x.

~

Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.

Answers

Cheese required for 1 pizza = ½ pound

So, cheese required for 19 pizzas

= 19 × ½ pounds

= 19/2 pounds

= 9½ pounds

So, Hailey needs 9½ pounds of cheese to make 19 pizzas.

The solution is 9.5 pounds

The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pounds of cheese for 19 pizzas be A

Now , the equation will be

The number of pounds of cheese for 1 pizza = 1/2 pounds

So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza

Substituting the values in the equation , we get

The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )

The number of pounds of cheese for 19 pizzas = 19/2

The number of pounds of cheese for 19 pizzas = 9.5 pounds

Therefore , the value of A is 9.5 pounds

Hence , the number of pounds of cheese is 9.5 pounds

To learn more about equations click :

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six times the difference of a number and 4 is no more than 10.

Answers

Answer:

nnnnnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

Make y the subject 3xy+6=v

Answers

Answer:

y = [tex]\frac{v-6}{3x}[/tex]

Step-by-step explanation:

[tex]3xy+6=v\\3xy=v-6\\y=\frac{v-6}{3x}[/tex]

A school organised a farewell party of 100 students and school managementn decided three types of drinks distribute in the party

Answers

The answer is

i) - c

ii) - b

iii) - b

iv) - a

v) -  d

Un ingeniero civil a cargo de una obra contrata una cierta cantidad de obreros. Estima que, si le

pagara S/ 1.400 a cada uno de los obreros, le faltarían S/ 8.000, pero si le pagara S/ 1.200 a cada

uno, le sobrarían S/ 2.000. El número de obreros que contrató es

Answers

Al plantear un sistema de ecuaciones lineales, encontramos que el número de obreros que contrató el ingeniero civil fue 50.

Para encontrar el número de obreros que el ingeniero contrató debemos plantear un sistema de ecuaciones lineales de dos ecuaciones con dos incógnitas, tal como sigue:

[tex] M - 1400*x = -8000 [/tex]   (1)

[tex] M - 1200*x = 2000 [/tex]   (2)

En donde:

M: es la incógnita igual al monto de dinero del ingeniero

x: es la incógnita igual al número de obreros

De la ecuación (1) tenemos:

[tex] M = 1400*x - 8000 [/tex]   (3)

Podemos encontrar el valor de x (número de obreros), introduciendo la ecuación (3) en la ec (2):

[tex] 1400*x - 8000 - 1200*x = 2000 [/tex]

[tex] 200*x = 10000 [/tex]

[tex] x = 50 [/tex]

El monto de dinero inicial del ingeniero sería entonces (ec 3):

[tex] M = 1400*50 - 8000 = 62000 [/tex]

Por lo tanto, el número de obreros que contrató el ingeniero es 50.

Puedes aprender sobre otro método de resolución de sistemas de ecuaciones lineales ingresando acá: https://brainly.com/question/10831551?referrer=searchResults                                    

                                                                                                   

Espero que te sea de utilidad!

Please help me to solve this problem of ordered pairs. The value of x and y should be find. ​

Answers

Answer:

x=y=-2

Step-by-step explanation:

Comparing these ordered pairs, we will get

4^(1/x)=1/2 and 9^(1/y)=1/3

x=-2 and y=-2

Answer:

x = y = - 2

Step-by-step explanation:

Using the rule of radicals/ exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Given

[tex]\sqrt[x]{4}[/tex] = [tex]\frac{1}{2}[/tex] , then

[tex]\sqrt[x]{2^{2} }[/tex] = [tex]\frac{1}{2}[/tex]

[tex]2^{\frac{2}{x} }[/tex] = [tex]2^{-1}[/tex]

Since the bases on both sides are equal, both 2 , then equate exponents

[tex]\frac{2}{x}[/tex] = - 1 ( multiply both sides by x )

2 = - x , that is

x = - 2

Similarly

[tex]\sqrt[y]{9}[/tex] = [tex]\frac{1}{3}[/tex] , then

[tex]\sqrt[y]{3^{2} }[/tex] = [tex]\frac{1}{3}[/tex]

[tex]3^{\frac{2}{y} }[/tex] = [tex]3^{-1}[/tex]

Equating the exponents gives

[tex]\frac{2}{y}[/tex] = - 1 ⇒ - y = 2 ⇒ y = - 2

(x+5). (x-4)-(x+2)^2+(2x+3)^2=(2x-1) (4x^2+2x-1)+18x(2x+3)​

Answers

Answer:

x ≈ -0.73151

Step-by-step explanation:

8. PLEASE HELP ME
Order the group of quadratic functions from widest to narrowest graph.
y= 6x2, y= -4.5x2, y= -x2

A. y= -4.5x2, y= -x2, y= 6x2

B. y= 6x2, y= -4.5x2, y= -x2

C. y= -x2, y= 6x2, y= -4.5x2

D. y= -x2, y= -4.5x2, y= 6x2

Answers

Answer:

B. y= 6x2, y= -4.5x2, y= -x2

Step-by-step explanation:

y = 6x2, y = −4.5x2, y = −x2

This should be correct )

 

To solve this problem you must keep on mind the following information: By definition, a quadratic function has the following form:  

 y=ax^{2}+bx+c


Where a
 is the leading coefficient.

If the leading coeficient is closer to zero, the parabola is widest,if it has a larger positive or negative value, the parabola is narrowest.

Therefore, by knowing the information above, you have that the answer is:

y=- x^{2}  \\ y=-4.5 x^{2}  \\ y=6 x^{2}

Helpppppppp pleaseeee

Answers

Median is the middle number when you put them in descending or ascending order

Answer:

5

Step-by-step explanation:

median means the number in the middle

Determine the vertex of the function f(x) = 3(x - 2)^2 + 1.
(2, 1)
(-2, 1)
(1,2)
(1,-2)

Answers

Answer:

The vertex is at (2,1)

Step-by-step explanation:

The vertex form of a quadratic is

y = a(x-h)^2 +k  where (h,k) is the vertex

f(x) = 3(x - 2)^2 + 1.

The vertex is at (2,1)

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