Answer:
To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).
Translation involves moving a point on a coordinate geometry from one position to another position.
Given that:
[tex]M = (-1,5)[/tex] --- point
[tex](x,y) \to (x + 3, y - 2)[/tex] --- translation rule
Substitute -1 for x and 5 for y in [tex](x,y) \to (x + 3, y - 2)[/tex]
So, we have:
[tex](-1,5) \to (-1 + 3, 5 - 2)[/tex]
[tex](-1,5) \to (2, 3)[/tex]
This means that:
[tex]M' = (2, 3)[/tex]
Hence, the image of M after translation is [tex](2, 3)[/tex]
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Identify the coordinates of the vertices of the polygon.
A. (3, 5), (-6, 1), (-3, -4), (0, -5), (7,–3)
B. (–3,5), (–6,1), (–3,–4), (0,–5), (7,–3)
C. (3,5), (–6,1), (–3,–4), (–5,0), (7,–3)
D. (3,5), (6,1), (–3,–4), (0,–5), (7,–3)
no sé la verdad cual es. hay más gente que te pueda ayudar con esa respuesta, disculpa la verdad
cos theta Root over 1 - cos square theta
Answer:
[tex]{ \bf{ \cos \theta \sqrt{1 - { \cos }^{2} \theta } }} \\ { \sf{ = \cos \theta \sqrt{ { \sin }^{2} \theta} }} \\ { \sf{ = \cos \theta \sin \theta }} \\ { \sf{ = \frac{1}{2} \sin(2 \theta) }}[/tex]
-5f - 8=2(3f+2)
---------------
Answer:
f = - [tex]\frac{12}{11}[/tex]
Step-by-step explanation:
Given
- 5f - 8 = 2(3f + 2) ← distribute parenthesis
- 5f - 8 = 6f + 4 ( subtract 6f from both sides )
- 11f - 8 = 4 ( add 8 to both sides )
- 11f = 12 ( divide both sides by - 11 )
f = [tex]\frac{12}{-11}[/tex] = - [tex]\frac{12}{11}[/tex]
Answer:
f= -12/11
Step-by-step explanation:
-5f-8=6f+4
+5f +5f
-8=11f+4
-4 -4
-12=11f
÷11 ÷11
-12/11=f
3(x-5)=5x-(3-x) solve for x
Answer:
x = -4
Step-by-step explanation:
[tex]3(x-5)=5x-(3-x)\\\\3x-15=5x-3+x\\\\3x-15=6x-3\\\\-15=3x-3\\\\-12=3x\\\\-4=x[/tex]
Step-by-step explanation:
[tex]3(x - 5) = 5x - (3 - x) \\ 3x - 15 = 5x - 3 + x \\ 3x - 5x - x = - 3 + 15 \\ - 3x = 12 \\ x = \frac{12}{ - 3} \\ x = - 4[/tex]
I hope it helped U
stay safe stay happy
A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that
attends. Write an equation where d is the total donation and p in the number of people that attend.
Answer:
200 divided 4
Step-by-step explanation:
PLS HELP ASAP WILL GIVE BRAINLIST
what is true about the complex number -5+5i, check all that apply
a. it lies in quadrant 2
b. it lies in quadrant 4
c. the modulus is 5√2
d. the modulus is 10
Answer:
Hello,
-5+5i=x+iy
Step-by-step explanation:
A is true (x=-5, y=5 )
B is false because of A
C is true ||-5+5i ||²=(-5)²+(5)²=2*5²
==> ||-5+5i ||=5√2
D is false because of C
Hey please help for 100 points! Has to be accurate and explained well though for brainiest!
Question: Identify the property of equality(addition, subtraction, multiplication, or division) that could isolate this variable:
k - 4.5 = 9.8
Answer:
addition property of equality
Step-by-step explanation:
k - 4.5 = 9.8
Add 4.5 to each side using the addition property of equality
k-4.5 +4.5 = 9.8+4.5
k = 14.3
Answer:
Addition Property of Equality
Step-by-step explanation:
k - 4.5 = 9.8
~Add 4.5 to both sides
k = 14.3
Best of Luck!
Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2
Which exponential function is represented by the graph?
Answer:
Answer is option (B)......
2. Find a true inequality that involves the real number 5/4
Answer:
c
Step-by-step explanation:
5/4>6/5
multiply by 20
25>24
which is true.
PLEASE SOMEONE ANSWER THIS R3JGWERHTRYT
Order the numbers from least to greatest.
A) 3.41%, 0.31, 0.314, 0.3333
B) 0.3333, 0.31, 0.314, 3.41%
C) 3.41%, 0.314, 0.3333, 3.51%
D) 0.31, 0.314, 0.333, 3.41%
answer:
D) 0.31 , 0.314 , 0.333 , 3.41%
because, 3.14% converted to decimal is 3.41
PLEASE HELP!!
Prove the trigonometric identity.
tanx+cotxcscxcosx=sec2x
Drag an expression to each box to correctly complete the proof.
You're going to have to break all of these identities into sin and cos, and then just resolve them like normal.
The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved .
What is trigonometric ratio?
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
formulas for trigonometric ratios is:
sin θ = 1/cosec θ
cos θ = 1/sec θ
tan θ = 1/cot θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
According to the question
[tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex]
[tex]\frac{\frac{sin x}{cos x} + \frac{cos x}{sin x}}{\frac{1}{sin x}*cosx } = sec^{2} x[/tex]
[tex]\frac{\frac{sin^{2}x + cos^{2}x }{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]
[tex]\frac{\frac{1}{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]
[tex]\frac{\frac{1}{cosx} }{\frac{cosx}{1} } = sec^{2} x[/tex]
[tex]\frac{1}{cos^{2} x} =sec^{2} x[/tex]
[tex]sec^{2} x =sec^{2} x[/tex]
L.H.S = R.H.S
Hence, The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved .
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Seventy-two books were to be divided up among 18 children. Which of the following
expressions is equivalent to this fraction?
a. 8/3 divided by 6/9
b. 8/3 times 2/3
c. 2/9 divided by 8/9
d. 2 times 8/2
Answer:
a
Step-by-step explanation:
cause if 72 book were divided by 18 kids they would hav all gotten 4 books each
so a is the answer cause it gives youthe answer 4
Answer: a. 8/3 divided by 6/9
Step-by-step explanation: I got this question on my test
If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P, then sin() = Incorrect: Your answer is incorrect. cos() = tan() = .
cos(a) = x/r
sin(a) = y/r
tan(a) = y/x
In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:
The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.
Now we can remember the trigonometric relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse)
tan(a) = (opposite cathetus)/(adjacent cathetus)
Using what we wrote above, we can rewrite these as:
cos(a) = (adjacent cathetus)/(hypotenuse) = x/r
sin(a) = (opposite cathetus)/(hypotenuse) = y/r
tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x
if you want to learn more about this topic, you can read:
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For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.
Please help! Was due yesterday!
Answer:
1. Line segment 2. Point 3. Line 4. Line Segment
what is 2,034,627 rounded to the nearest ten thousand
Answer:
rounded to the nearest ten thousand
2,034,627
2,030,000
[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]
Answer:
-15Step-by-step explanation:
[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]
[tex] = \sqrt{20} \times \sqrt{5} - 2 \sqrt{45} \times \sqrt{5} + \sqrt{5} \times \sqrt{5} [/tex]
[tex] = \sqrt{100} - 2 \sqrt{225} + \sqrt{25} [/tex]
= 10 - 2 × 15 + 5
= 10 - 30 + 5
= 15 - 30
= -15 (Ans)
Please help explanation if possible
Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
3x - 4y = 11 → (1)
y + 3x = 1 ( subtract 3x from both sides )
y = 1 - 3x → (2)
Substitute y = 1 - 3x into (1)
3x - 4(1 - 3x) = 11 ( distribute and simplify left side )
3x - 4 + 12x = 11
15x - 4 = 11 ( add 4 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
y = 1 - 3(1) = 1 - 3 = - 2
solution is (1, - 2 )
Which correlation best describes the data below.
Answer:
Weak negative correlation
HELP FAST 100 POINTS - please show how you got it thank you
Which theorem/postulate can be used to prove ∆PQR ≅ ∆STU?
What is the perimeter of ∆PQR?
side angle side (SAS) is the postulate because we can clearly see that two of the sides of the triangles are congruent (9 & 14), as well as the Q and T angle.
the perimeter is 43
6y+5=8y
y= 5/2
9+14+6(5/2)+5= 43
Answer:
Solution given:
In ∆ PQR and ∆ STQ
PQ=ST=9ft given
<Q=<T given
QR=TU = 14ft [given]
S.A.S axiom therom is used to prove
∆PQR ≅ ∆STU
Since ∆PQR ≅ ∆STU
their corresponding side is equal.so
6y+5=8y
5=8y-6y
2y=5
y=5/2
now
perimeter of ∆ PQR=sum of all sides
=9ft +14ft+ 6*5/2+5=43ft
 Which correlation best describes the data below.
Answer:
Weak positive correlation
Rosemary and Darwin are discussing how to find the value of
-28 + 45. Rosemary says the value of -28 + 45 = -73. Darwin
says the value of -28 + 45 = 17.
Who is correct, and why?
Answer:
Darwin
Step-by-step explanation:
-28+45=17 because 45-28=17. To prove, do the math!
4. (01.03 MC)
Karissa purchased a set of LED lights online that normally sells for $65.00 but was marked down to $57.20. What is the discount rate Karissa received? (2 points)
A 12% B 22 C 67%
Answer:
12% discount
Step-by-step explanation:
Take the change in price
65 - 57.20 =7.80
And divide by the original price
7.80/65=.12
Change to percent form
12%
Factor each of the following perfect square trinomials. X^2+5+6 20 points
Answer:
(x + 2)(x + 3)
Step-by-step explanation:
To factor perfect square trinomials, we have to follow a certain trick, the two factor numbers must equal b (in this case 5x) when added and equal c (in this case 6) when multiplied.
Simply enough, two numbers that do this is 2 and 3.
Therefore, our factor numbers are 2 and 3, making the last eqaution (x + 2)(x + 3)
19. PLEASE HELP ME
Order the group of quadratic functions from widest to narrowest graph.
y=, y=, y=
A. y= -7x2, y= -1/3x2, y= -1/5x2
B. y= -1/5x2, y= -7x2, y= -1/3x2
C. y= -1/3x2, y= -1/5x2, y= -7x2
D. y= -1/5x2, y= -1/3x2, y= -7x2
Answer:
D. y= -1/5x2, y= -1/3x2, y= -7x2
Step-by-step explanation:
help me to solve tan^3 2x-3tan2x+2=0
Answer:
Step-by-step explanation:
let tan 2x=y
y³-3y+2=0
y³-y-2y+2=0
y(y²-1)-2(y-1)=0
y(y+1)(y-1)-2(y-1)=0
(y-1)[y(y+1)-2]=0
(y-1)(y²+y-2)=0
(y-1)(y²+2y-y-2)=0
(y-1)[y(y+2)-1(y+2)]=0
(y-1)(y+2)(y-1)=0
y=1,1,-2
tan 2x=1=tanπ/4=tan (nπ+π/4)=tan π/4(n+1)
2x=π/4(n+1)
x=π/8(n+1)
where n is an integer.
tan 2x=-2
[tex]2x=tan^{-1}(-2)\\x=\frac{1}{2} tan^{-1}(-2)[/tex]
what is the equation of the line that passes through the points (-8,8) and (4,-1)
Answer:
y = (-3/4)x + 2
Step-by-step explanation:
Find the slope of this line. Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9. Then the slope is
m = (change in y) / (change in x) = -9/12 = m = -3/4
Find the y-intercept from this data using the slope-intercept form:
y = mx + b becomes 8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.
Solving this equation for b, we get:
8 = 6 + b, so that b must be 2.
The desired equation is y = (-3/4)x + 2.
if 3x=y-5 and x=-4 then y =
Answer:
-7 = y
Step-by-step explanation:
3x=y-5
Let x = -4
3(-4) = y-5
-12 = y-5
Add 5 to each side
-12 +5 = y-5+5
-7 = y
Simplify (x³ - y²)(x+y) divided by (x² - y²)³
can you guys give me proper explanation?
Answer:
x^4 - yx^3 - xy^4 - y^5
Step-by-step explanation:
(x³ - y²)(x+y) / (x² - y²)³
(x^3 - y^2) (x+y) / (x^6 - y^6)
(x^3 - y^4) (x+y)
x^4 - yx^3 - xy^4 - y^5
Please help me to solve this question as soon as possible. Thank you.
Answer:
Step-by-step explanation:
they will attend on april 12
