Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?
On a coordinate plane, a triangle has points X prime (negative 2, 2), Y prime (0, 6), Z prime (1, 1).
On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).
A rotation of 90° about the origin includes the interchange of the position of x, and y in the ordered pair and a change of one of the signs of the pair.
The option that shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin is the option;
On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).Reasons:
The given transformation the gives the X'Y'Z' = 90° rotation about the origin
The given coordinates of X'Y'Z' are;
X'(-2, 2), Y'(0, 6), and Z'(1, 1)
Required:
The figure that shows the preimage of X'Y'Z'
Solution:
Given that X'Y'Z' is obtained by the rotation of XYZ 90°, therefore, the
coordinates of XYZ are given by the rotation of X'Y'Z' in the reverse
direction either counterclockwise and clockwise.
(x, y) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] (-y, x)
(x, y) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] (y, -x)
Therefore, we have;
X'(-2, 2) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] X(-2, -2)
Y'(0, 6) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Y(-6, 0)
Z'(1, 1) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Z(-1, 1)
Similarly, we get;
X'(-2, 2) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] X(2, 2)
Y'(0, 6) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Y(6, 0)
Z'(1, 1) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Z(1, -1)
The above coordinates of XYZ; X(2, 2), Y(6, 0), and Z(1, -1), corresponds to
the option;
On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).
Therefore, XYZ was rotated 90° clockwise to form X'Y'Z'
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Answer: the first box is 90 degrees and the second box is 2 :D
Step-by-step explanation: ed 2020
hope you have a goody day / night ^^
Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
Answer:
There needs to be a graph.
Step-by-step explanation:
The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.
What is proportionality?We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.
From the table, we need to find the rate of change between two given hours and the miles traveled at that time.
Now,
Between 1 hour and 2 hours.
The rate of change.
= (26 - 12) / (2 -1)
= 14 / 1
= 14
Between 2 hours and 3 hours.
The rate of change.
= (30 - 26) / (3 - 2)
= 4 / 1
= 4
Between 3 hours and 4 hours.
The rate of change.
= (48 - 30) / (4 - 3)
= 18 / 1
= 18
Since,
The rate of change is not the same for all the cases so,
Hence, the relationship between hours biked, and the miles traveled is not proportional.
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Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15
Answer:
21
Step-by-step explanation:
It is given that y varies inversely with x.
[tex]y\propto \dfrac{1}{x}[/tex]
[tex]y=\dfrac{k}{x}[/tex] ...(i)
where, k is constant of proportionality.
It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.
[tex]-105=\dfrac{k}{-3}[/tex]
[tex]-105\times (-3)=k[/tex]
[tex]315=k[/tex]
Now,
[tex]y=\dfrac{315}{x}[/tex]
Substitute x=15 in the above equation.
[tex]y=\dfrac{315}{15}[/tex]
[tex]y=21[/tex]
Therefore, the value of y is 21 when x=15.
It cost Leah $1.50 to send 10 text messages. How many text messages did she send if she spent $7.05?
PLEASE ANSWER
Answer:
47 text messages
Step-by-step explanation:
7.05 divided by 1.50 which is 4.7
The multiply 4.7 times 10 which give you 47.
10 texts = $1.50
/10 /10
1 text = $0.15
# of texts = $7.05/$0.15 = 47 texts
Answer:
47 texts
please help me!!!!!!!!!!
Answer:
(1,4)
(2,6)
(3,8)
(4,10)
(5,12)
Step-by-step explanation:
1. Consider a sphere with a radius with an 18 inches.
Part A: Determine the surface area of the sphere.
Answer:
Surface Area = 4071.5
Step-by-step explanation:
A = 4 π [tex]r^2[/tex]
A = 4 ×π×18×18
A = 4071.5
Bravo!
Please help ;-;, I really need it-
Answer:
See below
Step-by-step explanation:
For a more detailed explanation, take a look at PDF below;
Surface Area of First Figure; 544 in^2,
Surface Area of Second Figure; 276 ft^2,
Surface Area of Third Figure; 1240 yd^2
Which value for x will make 3x + 10 > 75 correct?
Answer:
The answer is D
Step-by-step explanation:
I subtracted 10 from 75 and got 65 then divided 65 by 3 and got 21
The answer is c.
An inequality solution is any value of the variable that makes the inequality true. Solving linear inequalities is almost exactly like solving linear equations.
How to find which value for x will make 3x + 10 > 75 correct?
Subtract 10 from both sides we get , 3x+ 10 - 10 = 75 - 10
3x + 0 > 65
divide both sides by 3 implies
3x / 3 = 65 /3
=> x > 15.
Thus Option c is correct.
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Determine the area of the composite figure to the nearest whole number.
A) 132 ft²
B) 176 ft²
C) 184 ft²
D) 216 ft²
Answer:
B) 176 ft²
Step-by-step explanation:
asdasdddddddddddddddddasdasdasdasdsa
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x
Answer:
d. 2x^2-8x
Step-by-step explanation:
ure just doing distributive property.
The product of 2x(x-4) is 2x² - 8x
HOW TO OPEN BRACKET?In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.
According to this question, we are given the following expression: 2x(x-4)
This means that 2x multiples x and -4 independently.
That is; 2x × x and 2x × -4
2x² - 8x
Therefore, the product of 2x(x-4) is 2x² - 8x.
Learn more about factorization at: https://brainly.com/question/6810544
MULTIPLE CHOICE:
A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3
Answer:
C
Step-by-step explanation:
The first term -2 is also -B; therefore A and B can be eliminated.
-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated
Solve for x in the given triangle. A) -9 B) -7 C) 7 D) 6
Solve the equation in the image
Answer: 55
Step-by-step explanation:
[tex]\sqrt[3]{4x-4}=6[/tex]
Begin by cubing each side of the equation to get rid of the cubic root.
[tex](\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216[/tex]
add 4
[tex]4x-4+4=216+4\\4x=220[/tex]
Divide by 4
[tex]\frac{4x}{4}=\frac{220}{4}[/tex]
[tex]x=55[/tex]
Answer:
it is zero
Step-by-step explanation:
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
Combine the Expression:(10x - 4) + (-7 + x)
Answer:
11x-11
Step-by-step explanation:
(10x-4)+(-7+x)
10x-4-7+x
11x-11
Answer:
11x-11
Step-by-step explanation:
10x+x=11x
-4+(-7)=-11
11x-11
if this is right a brainliest would be very appreciated!
-4x -4y=-5
12x + 12y =15
What do the following equation represent
Answer:
x=5/4 -y
Step-by-step explanation:
12x-12x 12x-12x 12 divided by 0 = undefined
subtract 12 from both sides of the equation then divide by 12.
so the answer would be:
y= 5/4 -x
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution
Answer:
C. x = 5, y = -2
Step-by-step explanation:
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
A = 7x^2-3x+10
B=-4x^2+ 6x- 4
what is the question for this?
HELP PLEASEEE ASAP!! THIS IS AN EMERGENCY
Answer:
the answer is c
Step-by-step explanation:
Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution
Answer:
y ≥ 3x
Possible solution: x=1, y=3
Step-by-step explanation:
Since Henry has atleast 3 times as much money as Deb
y=3x
y must always be greater than or equal to 3x
if x=1 y=3
Kelly rolls two number cubes 50 times. After each roll, she records whether the number on
each cube is even (E) or odd (O). Her results are shown in the graph. Based on Kelly's results,
which is the most reasonable prediction for the number of times two odd numbers will occur
when two number cubes are rolled 2,000 times?
Answer:
480
Step-by-step explanation:
First add the numbers in the table together and put the total as a denominator in a fraction then the amount of times 2 odd numbers appeared as the numerator then put another fraction with 2,000 as the denominator and divide 2,000 by the total then multiply the numerator by that answer to get the correct answer.
Hope this helped!
Using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.
What is fraction?A fraction is " a number is expressed as a quotient in which numerator is divided by denominator".
According to the question,
Kelly rolls two number cubes 50 times, each cube is even (E) or odd (O).
The graph shows frequency of two numbered cube roll. The frequency of getting EO is 14, frequency of getting OE is 8, frequency of getting EE is 16 , frequency of getting OO is 12.
Total number of frequency = 14 + 8 + 16 + 12
= 50
The fraction of getting two odd numbers when cube is rolled 50 times
= [tex]\frac{12}{50}[/tex]. →(1)
In order to find, when two number cubes are rolled 2,000 times the number of times two odd numbers will occur.
= [tex]\frac{x}{2000}[/tex]. →(2)
Equating two fraction, to get value of 'x'.
[tex]\frac{12}{50} = \frac{x}{2000}[/tex]
[tex]\frac{12*2000}{50}[/tex] = x
x = 12 × 40
x = 480.
Hence, using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.
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Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
Answer:
The number is 16
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
x+5 = 2x-11
11+5 = 2x-x
16 = x
Solve for x.
-30 = 5(x+1)
Answer:
−30=5(x+1)
Step 1: Simplify both sides of the equation.
−30=5(x+1)
−30=(5)(x)+(5)(1)(Distribute)
−30=5x+5
Step 2: Flip the equation.
5x+5=−30
Step 3: Subtract 5 from both sides.
5x+5−5=−30−5
5x=−35
Step 4: Divide both sides by 5.
5x5=−355
x=−7
Answer:
x=−7
Answer:
x = -7
Step-by-step explanation:
Since this problem has the distributive property, we can simplify the problem.
-30 = 5x + 5
Now we have to subtract 5 from both sides because of the +5.
-35 = 5x
To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.
-7 = x
x = -7
find the volume, help please all numbers are in inches, will mark brainleist
Prism volume will be base area times height. We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24. The prism has a height 13. Multiplying we get a volume of 24×13 = 312 cubic inches.
Answer: 312 cubic inches
help so hard!!! i need help
Answer:
1. b
2. are like terms
Step-by-step explanation:
1. this is b because when you distribute, each of the terms in the parentheses will get multiplied by 3.
2. these are like terms because they have no variables. they are just numbers so they are like terms
Find the inequality represented by the graph.
URGENTT
Answer:
y < 3/4x
Step-by-step explanation:
PLSSSS help
Marking BRainlist
Answer: x = 14 for the first one, x = 4 for the second
Step-by-step explanation:
8x - 9 = 7x + 5
subtract 7x from both sides
x - 9 = 5
add 9 to both sides
x = 14
8x + 9 = 3x + 29
subtract 3x from both sides
5x + 9 = 29
subtract 9 from both sides
5x = 20
divide both sides by 5
x = 4
What is the surface area?
5 cm
1 cm
3 cm
Answer:
46 cm
Step-by-step explanation:
2(5*1) = 10
2(1*3) = 6
2(3*5) = 30
add all those together and you get 46
