Answer:
To transform figure A into figure B, you need to reflect it over the y-axis and translate one unit to the left. A sequence of transformations that will accomplish this is (x, y) + (-x, y) and (x, y) + (x - 1,y).
The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.
What is figure rotation?Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.
In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.
See more about figure rotation at brainly.com/question/11392539
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( 2x - 9) x ( x + 5 )
[tex]2x \times x + 2x \times 5 - 9 \times x - 9 \times 5[/tex]
[tex] {2x }^{2} + 10x - 9x - 45 [/tex]
[tex] {2x}^{2} + x - 45 [/tex]
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x=14}[/tex]
Reorder the terms:
[tex]-9 + 2x = 5 + x[/tex]
Solving
[tex]-9 + 2x = 5 + x[/tex]
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
[tex]-9 + 2x + -1x = 5 + x + -1x[/tex]
Combine like terms: [tex]2x + -1x = 1x[/tex]
[tex]-9 + 1x = 5 + x + -1x[/tex]
Combine like terms: [tex]x + -1x = 0[/tex]
[tex]-9 + 1x = 5 + 0\\-9 + 1x = 5[/tex]
Add '9' to each side of the equation.
[tex]-9 + 9 + 1x = 5 + 9[/tex]
Combine like terms: [tex]-9 + 9 = 0[/tex]
[tex]0 + 1x = 5 + 9\\1x = 5 + 9[/tex]
Combine like terms: [tex]5 + 9 = 14[/tex]
[tex]1x = 14[/tex]
Divide each side by '[tex]1[/tex]'.
[tex]x = 14[/tex]
Simplifying
[tex]x = 14[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
sin(90°-x)=-root 3/2
what value of x satisfies the equation
Answer:
x = 30 degrees
Step-by-step explanation:
sin( 90 -x) = cos(x)
cos (30) = [tex]\frac{\sqrt{3} }{2}[/tex]
The value of x from the trigonometric relation is x = 210°
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin (-θ) = -sin (θ)
csc (-θ) = -csc (θ)
cos (-θ) = cos (θ)
sec (-θ) = sec (θ)
tan (-θ) = -tan (θ)
cot (-θ) = -cot (θ)
In the first quadrant, sin, cos and tan are all positive.
In the second quadrant going anti-clockwise, only sin is positive.
In the third quadrant going anti-clockwise, only tan is positive.
In the fourth quadrant going anti-clockwise, only cos is positive
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
sin ( 90° - x ) = -( √3/2 ) be equation (1)
On simplifying the equation , we get
sin 60° = √3/2
Substituting the values in the equation , we get
sin ( 90° - x ) = - sin ( 60° )
And , sin (-θ) = -sin (θ)
Substituting the values in the equation , we get
sin ( 90° - x ) = sin ( - 60° )
On further simplification , we get
( 90° - x ) = ( - 60° )
Adding x on both sides of the equation , we get
x - 60° = 90°
Adding 60° on both sides of the equation , we get
x = 150°
x = π/3 + 90 + 2πn
x = 2π/3 + 90 + 2πn
Therefore , the value of x is 150° or 210°
Hence , the value of x is 210°
To learn more about trigonometric relations click :
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LESSON 2-1 PRACTICE
V 13. Attend to precision. Justify each step in the solution of 5x + 15 -
below by stating a property or providing an explanation for each
5x + 15 = 0
5x + 15 – 15 = 0 – 15
5x = -15
x = -3
Answer:
Value of x is -3
Step-by-step explanation:
Given:
5x + 15 = 0
Find:
Value of x
Computation:
5x + 15 = 0
From subtracting 15 from both side (LHS and RHS)
5x + 15 – 15 = 0 – 15
5x = -15
From dividing 5 from both side (LHS and RHS)
5x / 5 = -15 / 5
x = -3
So,
Value of x is -3
please help me.
find the real solution of the equation.
Answer:
[tex]x = -5 \text{ or } x =3[/tex]
Step-by-step explanation:
We want to find the real solutions to the equation:
[tex]\displaystyle 8^{x^2 + 2x - 15} = 1[/tex]
Recall that any value raised to zero (except for zero itself) is one.
In other words, the exponent must equal zero:
[tex]x^2 + 2x - 15 = 0[/tex]
Solve for x. Factor:
[tex](x+5)(x-3) = 0[/tex]
Zero Product Property:
[tex]x + 5 = 0\text{ or } x - 3 = 0[/tex]
Solve for each case. Hence:
[tex]x = -5 \text{ or } x =3[/tex]
In conclusion, our two real solutions are:
[tex]x = -5 \text{ or } x =3[/tex]
Rita got three colors of beads, half of them are pink. She used all her pink beads to make some bracelets. If the number of pink beads she used for each bracelet is one eighths of the total number of beads, how many bracelets did she make?
Answer: she made 4 bracelets.
Step-by-step explanation:
Let x, y, z are the number of three kinds of beads, where x= number of pink beads.
As per given, number of pink beads= half of total beads
[tex]\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)[/tex]
Also, She used all pink beads, Number of pink beads she used for each bracelet= one eighths of the total number of beads
[tex]\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}][/tex]
[tex]=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}[/tex]bracelets =
Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)
[tex]=\dfrac{x}{\dfrac{x}{4}}=4[/tex]
Hence, she made 4 bracelets.
24 is 75% percent of what number?
Answer:
32
Step-by-step explanation:
We can call the number x. 75% can be expressed as 0.75 so we can write the following equation: 0.75x = 24. Dividing both sides by 0.75 to get rid of the coefficient of x, we get that x = 32.
Answer:
32.
Step-by-step explanation:
Let's say the number we are trying to find is x.
24 = 0.75x
0.75x = 24
x = 24 / 0.75
x = 32
Hope this helps!
PLEASE HELP ME The graph below shows the distance, y, that a car traveled in x hours:
Rate of Travel
125
100
Distance Traveled
(miles)
75
501
251
0 1 2 3 4 5
Time (hours)
What is the rate of change for the relationship represented in the graph?
о
1
50
O
25
O 25
050
Answer:
25
Step-by-step explanation:
The graph is going up by 25 each block or point of the way, if im wrong, im sory
construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........ Very urgent. Pls don't give wrong answers
Answer and Step-by-step explanation: The described right triangle is in the attachment.
As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:
AC² = AB² + BC²
[tex]AB^{2} = AC^{2}-BC^{2}[/tex]
[tex]AB =\sqrt{AC^{2}-BC^{2}}[/tex]
[tex]AB =\sqrt{7^{2}-4.5^{2}}[/tex]
[tex]AB =\sqrt{28.75}[/tex]
AB = 5.4
Then, right triangle ABC measures:
AB = 5.4cm
BC = 4.5cm
AC = 7cm
Evaluate -3.28 - (-4.4) + (-p) where p = 9.7
Answer:
-8.58
Step-by-step explanation:
p = 9.7
=> -3.28 - (-4.4) + (-p)
=> -3.28 - (-4.4) + (- (9.7))
=> -3.28 - (-4.4) + (-9.7)
=> -3.28 - (-4.4) -9.7
=> -3.28 +4.4 -9.7
=> -12.98 +4.4
=> -8.58
Answer:
The evaluated answer for this equation is -8.58
Step-by-step explanation:
We are given a value of p so we will use this value for the equation.
-3.28 - (-4.4) + (-p)
Replace p with 9.7
-3.28 - (-4.4) + (-9.7)
Since there is a double negative in front of 4.4, then that means that we are going to be adding -3.28 to 4.4
1.12 + (-9.7)
Subtract 1.42 from 9.7 because there is negative sign in front of 9.7
-8.58
Find the squares of the following:
1)2a+1 2) 3b+2c 3) 2p²+3q²
Answer:
1. 4a^2 + 4a + 1
2 9b^2 + 12bc + 4c^2
3 4p^4 + 12p^2q^2 + 9q^4
Step-by-step explanation:
67.77759 rounded to nearest meter
Answer:
68
Step-by-step explanation:
0.7 rounds to 1 so add 1 to 67 to get 68
How much is $100 USD in cross water dollars
Answer:
62034.74
Step-by-step explanation:
Answer:
62034.74 use a converter
Step-by-step explanation:
How many films does he have ?
Answer:
85 films
Step-by-step explanation:
10 + 20 + 25 + 20 + 10
= 85 films
answered by g a u t h m a t h
PLEASE I REALLY CAN'T THINK OF ANYTHING ELSE
list 2 differences between y = sin x and y = cos x
Answer:
- sin(x) is the ratio of the opposite leg to the hypotenuse in a right triangle, while cos(x) is the ratio of the adjacent leg to the hypotenuse in a right triangle.
-The graph of y = sin(x) at x = 0 starts at the origin, and then increases, while the graph of y = cos(x) starts at a max, and then decreases.
Here's a 3rd: sin(x) is the cofunction of cos(x), which means that sin(x) = cos(90-x). This also shows that they are different.
Find the value of x. Round to the nearest tenth.Find the value of x. Round to the nearest tenth.
Answer:
x = 55.6Step-by-step explanation:
In order to find the value of x we use sine
sin ∅ = opposite / hypotenuse
From the question
x is the hypotenuse
the opposite is 19
So we have
sin 20 = 19/x
x = 19/sin 20
x = 55.55
We have the final answer as
x = 55.6 to the nearest tenthHope this helps you
Answer:
x = 55.6
Step-by-step explanation:
Please i need to know the meaning of this! : Thanks.
We want to factor the following expression: 16x^4-25
Answer:
(4x2 +5)⋅(4x2 −5)
Which equation represents a parabola that has a focus of (0,0) and a directix of y = 2?
Answer: D
Step-by-step explanation:
[tex]a=0,\ b=0,\ k=2\\equation\ of\ the\ parabola:\\\\y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{x^2}{4}+1 \\\\x^2=-4(y-1)\\\\Answer\ D[/tex]
If Paul and Steve are the same height and they are both correct, write an equation to represent this relationship. Put Paul's expression on the left side of the equal sign and Steve's expression on the right.
Answer:
Theresa's height=60 inches
Paul's height= Steve's height=74 inches
Step-by-step explanation:
Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa ?
Let
p=paul's height
s=steve's height
t=theresa's height
Paul's height = Steve's height
p=s
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height
1 1/2 * t -16
=3/2t -16
Steve says he is 6 inches shorter than 1 1/3 times Theresa's height
1 1/3 * t - 6
=4/3t - 6
P=S
3/2t -16 = 4/3t - 6
Collect like terms
3/2t-4/3t= -6+16
9t-8t/6 =10
t/6=10
Cross product
t=60
Theresa's height=60 inches
P=3/2t -16
=3/2(60) -16
=180/2 -16
=90-16
=74 inches
p=s
Paul's height=74 inches
Solve for a.
-4a – 2a – 7 = 11
a =
[?]
Not a fraction answer
Answer:
sorry for point
plz
plz
plz
plz
Answer:
Hello,
Answer: a=-3
Step-by-step explanation:
[tex]-4a-2a-7=11\\\\\Longleftrightarrow\ -6a-7=11\\\\\Longleftrightarrow\ 6a=-7-11\\\\\Longleftrightarrow\ 6a=-18\\\\\Longleftrightarrow\ a=-3\\[/tex]
state the vertical distance and horizontal distance of the two pairs of points given.
Answer:
the horizontal distance is the x-intercept, and the vertical distance is the y-intercept
1) x-int=1, y-int=1
2) x-int=6, y-int=5
Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12
Answer:
ab+bc+ac=47
Step-by-step explanation:
(a+b+c)=12
Square both sides
a^2+b^2+c^2+2(ab+bc+ac)=144
2(ab+bc+ac)=94
ab+bc+ac=47
Answer:
ab + bc + ca = 47
Step-by-step explanation:
Using the algebraic identity
(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then
12² = 50 + 2(ab + bc + ca)
144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides
94 = 2(ab + bc + ca) ← divide both sides by 2
47 = ab + bc + ca
Consider the functions F and G in the tables below
PLEASE HELP PLEASE
Answer:
Option A, As x increases, the rate of change exceeds the rate of f
What is 32 divided by 192
Do you mean 32/192 or 192/32 because 32/192= 0.1666 where 192/32= 6
Answer:
1/6.
Step-by-step explanation:
32/192 Divide top and bottom by 8:
= 4 / 24 Now by 4:
= 1/6.
ASAP
Which of the following points is in the solution set of y > -x^2 + 5?
A.) (2, 4)
b.)(1, 3)
c.)(0, 5)
wrong = reported
ty
The answer is C.) (0, 5)
Explaintion is in the pictures
I believe this is the answer if it isn't I'm sorry for wasting your time by answering.
Hope this helps!
I'LL GIVE BRAINLIEST !!! FASTER
please answer that 2 QUESTIONS please provide the explaination thankyouu
Answer:
9 (a)
x=50
y=75
(b)
(i)
y=105
(ii)
y=145
Step-by-step explanation:
The explanation is in the picture!
Bob and Carol want to hire Able Refinishing to sand and refinish the dining room floor to match the floor in the living room. Able charges $2.41 per square foot to sand and refinish a hardwood floor. The dining room is rectangular and measures 17 feet 10 inches by 11 feet 9 inches. Find the area of the dining room floor and the cost of the work.
Answer:
Area = 209.5 ft² (nearest tenth)
Cost = $505 (approximated)
Step-by-step explanation:
Step 1: convert the inches to be in feet by dividing length in inches by 12.
17 feet 10 inches => [tex] 17 + \frac{10}{12} = 17.83 ft [/tex]
11 feet 9 inches => [tex]11 + \frac{9}{12} = 11.75 ft[/tex]
Step 2: Find the area of the floor of the dinning room
Area = 17.83*11.75 = 209.5 ft² (nearest tenth)
Step 3: Find the cost of the work.
Cost = 209.5 ft² × $2.41 = $505 (approximated)
mrs tay baked some tarts. 25% of the tarts are pineapple tarts and the rest are strawberry tarts. She baked 90 more strawberry tarts than pineapple tarts. How many strawberry tarts did she bake?
Step-by-step explanation:
100 - 25 = 75
75 + 90 = 165
= 165 strawberry .
SOMEBODY PLEASE HELP ME ON THIS ; DUE TODAY, i’ll mark u the brainliest
Answer: Angle Addition Postulate
Step-by-step explanation:
According to the angle addition postulate, the measure of an angle formed by two angles side by side is the sum of the measures of the two angles. It is used to evaluate the measure of an angle formed by two or more angles .In the given picture, we have ∠MRO and ∠MRS on line SRO.
So, ∠SRO = ∠MRO +∠MRS [By angle addition postulate]
So the postulate that justify the statement " ∠SRO = ∠MRO +∠MRS" is Angle Addition Postulate.
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
1/6
Step-by-step explanation:
People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.
There are a total of 36 people.
People who answered their calls before the second ring were only 6/36.
When we simplify the fraction, we get 1/6.
So, the answer is 1/6.