The coordinates of the resulting image will be at (1, 1), (3, 4) and (1, 2)
DilationAssuming 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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f(x+3)=2x+5 find f(x)
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
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)
Answer:
Step-by-step explanation:
there is no number of 7 or greater.
P(≥7)=0/6=0
Will Mark Brainlest Help pls
Answer:
can you snap it again it's not clear
3. Find x.
Please help me
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
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℅
Answer: don't know
Step-by-step explanation:
help me please I'm not sure if im right
Answer:
291 cm³
Does the answer help you?
The graph below shows the solution to which system of inequalities
Helpppp
Answer:
Step-by-step explanation:
Help me plz it’s due today
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
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)
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
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
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.
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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
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
given m||n, find the value of x
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?
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
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
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
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.
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
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six times the difference of a number and 4 is no more than 10.
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:
Make y the subject 3xy+6=v
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
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
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.
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)
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
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
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)
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)