Answer:
a reflection of ΔRST across the line y = –x
Step-by-step explanation:
A reflection across the line y = –x transforms point (x, y) into (-y, -x)
After reflecting ΔRST across the line y = –x we get:
R (-1, 3) -> (-3, 1)
S (3,-2) -> (2, -3)
T (1, -4) -> (4, -1)
where S is at the desired vertex
Answer:
The answer is D
Step-by-step explanation:
Have a nice day!
Using the quadratic formula to solve x2 = 5 – x, what are the values of x?
Answer:
[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].
Step-by-step explanation:
The given quadratic equation is
[tex]x^2=5-x[/tex]
It is can written as
[tex]x^2+x-5=0[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,
[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]
[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]
Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].
measurement of these angles
Answer:
1= 105, 2= 75
Step-by-step explanation:
Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.
Answer plz!
Which choices are equivalent to the expression below? Check all that apply.
The right options are:
Option AOption COption Eplease see the attached picture
Hope it helps
Good luck on your assignment
Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0
a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4
Answer:
4/5
Step-by-step explanation:
4x-5y=0
subtract 4x on both the sides
4x-4x-5y = 0-4x
-5y = -4x
divide by -5 on both the sides
-5y/-5 = -4x/-5
y =( 4/5 )x
Triangle JKL has vertex coordinates J(0,-3), K(-1,0), and L(-2,-1). It is reflected across the line y = x. What are the coordinates of J’K’L?
A. J’(0,-3), K’(1,0), L’(2,-1)
B. J’(-3,0), K’(0,-1), L’(-1,-2)
C. J’(3,0), K’(0,1), L’(1,-2)
D. J’(0,3), K’(-1,0), L’(-2,1)
Answer:
B
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
J(0, - 3 ) → J'(- 3, 0 )
K(- 1, 0 ) → K'(0, - 1 )
L(- 2, - 1 ) → L'(- 1, - 2 )
Answer:
yee its B
Step-by-step explanation:
A basketball player averaged 12.4 points per game in a season. If he maintained this average over five games, how many points did he score in those five games?
Answer:
the 5th number = 62-44 = 18
Step-by-step explanation:
Cuantas veces cabe 1/8 en 1/4
Answer:
Two eighths
Step-by-step explanation:
Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half.
Given a = -3 and b= 4 and c=-5, evaluate
atb
C
-1/5
O 1/5
0 -7/5
Answer:
I got - 5 as an answer.
I don't think I made a mistake.
Please if you find any error, contact me in the comment section.
Step-by-step explanation:
[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100
Answer: It should be x^2 + (x-2)^2 = 100
Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.
The solution to the correct equation will be x = 8. x -2 would be 6
8^2 = 64. 6^2 = 36. 64+36 = 100.
The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
Calculation of the equation:Since
A group of students is given a 10 by 10 grid to cut into individual unit squares.
So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]
Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
Learn more about an equation here: https://brainly.com/question/17069398
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.
Answer:
one dollar 75 cents
Step-by-step explanation:
lets write the original equation again
5v+7f=28.70
now, lets put in the cost of the fruit to find cost of veggies
5v+7(2.85)=28.70
5v+19.95=28.70
5v=8.75
5=1.75
Answer:
Answer: $1.75
Step-by-step explanation:
Each pint of fruit = $2.85
7 pints of fruit = 2.85 x 7 = 19.95
5 pints of veggies will cost
28.70 - 19.95 = 8.75
Each pint of veggies = 8.75 / 5 = 1.75
Mr. Greene bought some pens at the school supply store, including 15 blue pens. 60% of all the pens he bought were blue.
How many pens did Mr. Greene buy in all?
Does anyone know how to find the area ?
Answer:
To find the area of a shape, multiply the sides. Hope this helps! ;)
Answer:
YES!
Step-by-step explanation:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3 2 (3) + 6
Answer:
D
Step-by-step explanation:
Expand 4(2x - 3)
Please
Answer:
4(2x) 4(-3)
Step-by-step explanation:
Separate the two parts of what is inside of the parentheses to “expand” it.
Answer:
The correct answer is
2x − 3
You can expand using the binomial expansion theorem.
Hope this helps!
- Quinn <3
Please help me with this
Answer:
it 8
Step-by-step explanation:
4^3 is 64
2^3 is 8
64/8 is 8
Identify the vertex of the parabola plssss..!!!!!!
Answer:
the vertex is (4,-1)
Which of these numbers has the greatest absolute value-3 1 -9 5
In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?
AWARDING MAX POINTS
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)
We can see in the diagram the chord AB and chord CD intersect each other at point E.
Each of the chord is divided into two segments.
According to the Intersecting Chords Theorem:
Products of the lengths of line segments on each chord are equal
Which means that
(AE)(EB) = (CE)(ED)
Substitute the given values;
(4)(EB) = (10)(6)
4(EB) = 60
EB = 15
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15
Simplify √ 20 x 8 y 9 to the form a √ b .
Answer:
Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11
Answer:
y=3/2x+11/2
Step-by-step explanation:
divide the whole thing by 2
2y=3x+11 divided by 2 equals
y-3/2x+11/2
then just plug in the 3 points
The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?
Answer:
A
can i have brainliest lol
Step-by-step explanation:
when x = 3, the volume is 36.
4 times 9 = 36, so you multiply f(x) by g(x) to get 36
Mention a few number systems and explain in brief
Answer:
Step-by-step explanation:
The system is common use is the decimal system which is based on 10;
So for example the number 45 :
45 = 4 * 10^1 + 5 * 10^0 and
132 = 1*10^2 + 3*10^1 + 2*10^0.
The single digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .
Then we have 10, 11 and so on
Then there is the binary system which is based on 2 digits
In this system there are only 2 digits 0 and 1, so
10 binary = 1*2^1 + 0*2*0 which is equivalent to 2 in the decimal system.
111 binary = 1*2^2 + 1*2^1+ 1*2*0 = 4 + 2 + 1 = 7 decimal
Another system is the octal system, based on 8.
The digits are 0,1,2,3,4,5,6,7
So 10 octal = 8 + 0 = 8 decimal
and 17 octal = 1*8^1 + 7* 8^0 = 8 + 7 = 15 decimal.
How many seed pockets are there ?
Please help! I have not seen a correct answer yet :(
A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,3,2 is one possible sequence.)
Answer:
60 possible sequences.
Step-by-step explanation:
That would be 6! / 3! 2!
6*5*4*3*2*1
= ------------------
3*2*1*2*1
= 5*4*3
= 60.
How to convert 1/4 to decimal form. How do I start that ? I obviously know it’s .25 but how do I show work ?
Answer:
(1/4 x 1 ) = 0.25
or (1/4) x 1 = 0.25
Step-by-step explanation:
We are doing the opposite to finding 25%
Which is 1/4 of 100%
We do this an opposite (not as inverse)
To find percentage increase as you can compare below.
or as percentage increase
230 x 0.25 (x 100) = 287.50
Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.
Answer:
Use a calculator or use long division. See long division below.
Step-by-step explanation:
Use a calculator or use long division.
Long division:
------------------------------
4 | 1
4 does not go into 1, so add a decimal pace to 1.
0.
------------------------------
4 | 1.0
4 goes into 10 2 times.
0.2
------------------------------
4 | 1.0
- 8
--------------
2
There is a remainder, so bring down another 0.
0.2
------------------------------
4 | 1.00
- 8
--------------
20
4 goes into 20 5 times.
0.25
------------------------------
4 | 1.00
- 8
--------------
20
- 20
--------------
0
The remainder is zero.
1/4 = 0.25
I need help asap pls help me
Answer:
36 ft
Step-by-step explanation:
The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:
[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]
Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!
The shape has an area of 60 square inches. Find the value of x.
Answer:
8
Step-by-step explanation:
Since the area of a kite is half the product of the diagonals:
60=15*x/2
120=15*x
x=120/15=8
Hope this helps!
Solve the system of linear equations by elimination.
-
- 3x + 4y = 18
6x+2y = -6
Answer: (-2,3)
Step-by-step explanation:
-3x + 4y = 18
6x + 2y= -6 we have to eliminate one of the variables so you will have ot
2(-3x + 4y) = 18(2) multiply the first equation by 2.
-6x + 8y = 36
6x + 2y = -6 now we could eliminate the x terms by adding them and
0 + 10y= 30 remember that is a new equation.
y= 3
Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.
-6x + 8(3)=36
-6x + 24= 36
-24 -24
-6x = 12
x= -2
The solution for the system of given linear equations is (-2, 3).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).
By elimination method,
Multiply equation (I) by 2, we get
-6x+8y=36 ----(III)
Add equation (II) and (III), that is
-6x+8y+6x+2y=36-6
10y=30
y=3
Substitute, y=3 in -3x + 4y = 18, we get
-3x+4(3)=18
-3x=6
x=-2
Therefore, the solution for the system of given linear equations is (-2, 3).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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Use the graph to write the factorization of x^2-x-6.
Answer:
[tex](x+2)(x-3)[/tex]
Step-by-step explanation:
[tex]x^2-x-6[/tex]
[tex]x^2-3x+2x-6[/tex]
[tex]x(x-3)+2(x-3)[/tex]
[tex](x+2)(x-3)[/tex]
Answer:
(x-3) (x+2)
Step-by-step explanation:
I just got the question right on the exam!
The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that can move the blue figure onto the red figure. Ursa correctly identifies a single transformation that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.
Answer:
Step-by-step explanation:
Malcolm's transformation:
First, the blue image is reflected about the line y=-5
Then it is rotated 180 degrees around the point (0,-5)
(you can have other options this is just one example)
Ursa's transformation:
The blue image is reflected about the y axis
(you can have other options this is just one example)
First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
First the blue image is translated
Then it is rotated 180° to get the red figure with coordinates (-x, -y)
Two transformation that is equivalent to a reflection
Hence, the two transformations are;
First the blue image with coordinates (x, -y) is translated to get (-x, -y)
Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
For more references on transformations, click;
https://brainly.com/question/11709244
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