Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. answers: A) 28° B) 56° C) 180° D) 112°

Answers

Answer 1

Answer:

D) 112°

Step-by-step explanation:

Reflection is a type of transformation that require the turning of a point or an object about a reference point line.

In the given question, when the point is first reflected about l, it rotates at an angle of  56°. Then reflecting it about m give a total rotation of 112° by the point. Thus, the point (-4, 1) is rotated twice the angle between lines l and m.


Related Questions

Which of the equations are true identities n^3+3n^2

Answers

Answer:

n^2(n + 3)

Step-by-step explanation:

n^3 + 3n^2 factors as follows:  n^2(n + 3).  Note that this is an expression, not an equation.

OKK 90 POINTS!!!! HURRY PLZZZ!!! 1. A tree casts a shadow that is 35.6 feet long. At that time, the angle of elevation of the sun is 45°. (It’s called angle of elevation because we have to raise, or elevate, our eyes to see the sun). Let’s find the height of the tree. Label the height of the tree as x on your diagram. (Part A) Explain why tan 45o (the ratio of opposite to adjacent) could help us find the height. (Part B) Use the given diagram to complete the trigonometric equation below: (Part C) Use your calculator to find the value of tan 45°. In your equation, replace tan 45° with this number, and solve your equation to find the tree’s height.

Answers

Answer:

A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)

B) tan(45°) = x/35.6

C) x = 35.6 ft

Step-by-step explanation:

B) From definition:

tan(45°) = opposite/adjacent

opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:

tan(45°) = x/35.6

C) tan(45°) = 1

Then:

1 = x/35.6

35.6 ft = x

#1

tanØ=Perpendicular/Hypotenuse

As here base is given

We need the height or perpendicular

so tangent is the easiest way to be used

#2(No problem given,may refering to part C)

#3

tanØ=sinØ/cosØtan45=sin45/cos45

as sin45=cos45

tan45=sin45/sin45tan45=1

Put value

tan45=h/35.6h=35.6tan45h=35.6ft

Please answer this question now

Answers

Answer:

5

Step-by-step explanation:

LM + MN = LN

4+5x = 9x

Subtract 5x from each side

4+5x-5x = 9x-5x

4 = 4x

Divide by 4

4/4 = 4x/4

1 =x

We want MN

5x =5*1 = 5

MN =5

Answer:

the length of MN is 5(1), or 5

Step-by-step explanation:

Segments add up to 9x here:  4 + 5x = 9x, so 4 = 4x and x must therefore be 1.

Then the length of MN is 5(1), or 5, and the length of LN is 9(1) = 9.

(4x - 5y + 3z) + (-4x +5y +3z)

Answers

Answer:6z

Step-by-step explanation:

Question:

(4x - 5y + 3z) + (-4x +5y +3z)

First Step:

Remove parenthesis

4x - 5y + 3z + -4x +5y +3z

Second Step:

Add like terms

4x + -4x = 0

-5y + 5y = 0

3z + 3z = 6z

Final Answer

6z

<!> Brainliest is much Appreciated! <!>

Answer:

6z

Step-by-step explanation:

(4x - 5y + 3z) + (-4x +5y +3z)

Combine like terms

4x - 4x   -5y +5y  +3z+3z

0+0+6z

6z

6f = 24 pls help!!!!!!!!!!!!!!

Answers

Answer:

f=4

Step-by-step explanation:

6f = 24

÷6    ÷6

f=4

Answer:

f = 4

Step-by-step explanation:

6f = 24

f = 24/6

f = 4

Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope

m = (-2 - 1)/(1 - 2)

m = 3

Step 2: Find b

y = 3x + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 3: Rewrite linear equation

y = 3x - 5

Step 4: Graph using graphing calc

PLSSS HELP! Can someone pls tell me how to do this. y=1/3(x+2)^2, y=x+3

Answers

Answer:

There you go.

Step-by-step explanation:

Please do tell me if it's wrong.

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 + 2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answers

Answer:

Step-by-step explanation:

To answer this question we should analyze both functions :

the intercepts with the x-axis are the numbers when a function f(x)=0

here we must solve both equations :

x²=0x²+2=0

the first one is obvious x=0 the scond is more interesting :

x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .

So we notice thatf has one intercept.

we added 2 to f to get g but no real intercepts

plsss help me withhh mathhh ​

Answers

Answer:

c is right

Step-by-step explanation:

gooooooooooooooooooooooooooooooooooooooooooooooooooooooood moring got another question

Answers

Answer:

[tex]x[/tex] = 12

Step-by-step explanation:

This question is asking what [tex]x[/tex] equals and in order to find the answer, we need to subtract 25 - 13 which equals 12.

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye

A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. What is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3.14 for Pi.

Answers

Answer:

15 cm.

Step-by-step explanation:

It is given that,

Central angle [tex]=\dfrac{7\pi}{10}[/tex]

Arc length = 33 cm

Formula for arc length :

[tex]s=r\theta[/tex]

where, s is arc length, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute s=33 and [tex]\theta=\dfrac{7\pi}{10}[/tex] in the above formula.

[tex]33=r\left(\dfrac{7\pi}{10}\right)[/tex]

Multiply both sides by 10.

[tex]330=7\pi r[/tex]

Divide both sides by [tex]7\pi[/tex].

[tex]\dfrac{330}{7\pi}= r[/tex]

Put [tex]\pi=3.14[/tex]

[tex]\dfrac{330}{7(3.14)}= r[/tex]

[tex]15.0136= r[/tex]

[tex]r\approx 15[/tex]

Therefore, the radius of the circle is 15 cm.

Answer:

15

Step-by-step explanation:

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

0.6 - 1/4

Convert the decimal to fraction

Thus

0.6 = 3/4

3/5 - 1/4

Find the LCM

the LCM is 20

We get

3/5 - 1/4 = (3(4) - 5)/ 20

= 12-5/20

= 7/20

2/5 + 0.75

0.75 = 3/4

Find the LCM

The LCM is 20

Thus

3/4 +2/5 = ( 3(5) + 2(4))/20

= 15 + 8 /20

= 23 / 20 or 1 3/20

1.75 - 1/6

Convert the decimal to fraction

1.75 = 7/4

Thus we get

7/4 - 1/6

Find the LCM

The LCM is 12

Thus

7/4 - 1/6 = ( 7(3) - 2)/12

= 21 - 2 / 12

= 19/ 12 or 1 7/12

3/10 + 2.125

Convert the decimal to fraction

2.125 = 17/8

Thus

3/10 + 17/8

Find the LCM

the LCM is 40

Thus

3/10 + 17/8 = ( 3(4) + 17(5))/40

= 12 + 85/40

= 97 /40 or 2 17/40

Hope this helps

Answer:

1.15

19/12

2.425

Step-by-step explanation:

2/5+0.75

2/5=4/10

4/10=0.4

0.75+0.4

1.15

1.75-1/6

1.75=7/4

7/4=14/8=21/12

21/12-2/12

19/12, or 1.5833...

3/10=0.3

0.3+2.125=2.425

....................................................................

Answers

Answer:

C.

Step-by-step explanation:

The answer to this question is C. I learned this in 6th grade math and when i did i knew how to solve these by seeing the problem closely and using a calculator...for some of these questions you will have to divide or multiply by percentage.

hope this helped look at the comments below i gave u something..

2xsquared +3x-20=0 solve using quadratic formula

Answers

Answer:

[tex]\frac{5}{2} ; -4[/tex]

Step-by-step explanation:

2x² + 3x - 20 = 0

a = 2 ; b = 3 ; c = -20

[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2

                                 = [-3±√(9+160)]/4

                                = [-3±√169 ]/4

                                = [-3± 13]/4

                                = [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]

2x² + 3x - 20 = 0

2x² + 8x - 5x - 20 = 0

2x(x+4) - 5(x+4) = 0

(x+4)(2x-5) = 0

x+4 = 0

x = -4

2x - 5 = 0

2x = 5

x = 5/2

Someone explain this to me

Answers

Answer: a) y = f(x - 6)

              b) y = f(x) - 2

Step-by-step explanation:

For transformations we use the following formula: y = a f(x - h) + k

a = vertical stretchh = horizontal shift (positive = right, negative = left)k = vertical stretch (positive = up, negative = down)

a) f(x) has a vertex at (-1, 1)

    M has a vertex at (5, 1)

    The vertex shifted 6 units to the right  → h = +6

Input h = +6 into the equation and disregard "a" and "k" since those didn't change.     ⇒ y = f(x - 6)

b) f(x) has a vertex at (-1, 1)

    N has a vertex at (-1, -1)

    The vertex shifted down 2 units  → k = -2

Input k = -2 into the equation and disregard "a" and "h" since those didn't change.     ⇒ y = f(x) - 2

Select all the correct answers.
Based on the side lengths given (a, b, and c), which triangles are right triangles?
a = 4,b= 6,c=8
a = 6,b=8,c=10
a =5,b= 6,c = 761
a = 6,b= 9,c = 12

Answers

Answer:

a = 6, b = 8, and c = 10.

Step-by-step explanation:

You can easily use the Pythagorean Theorem to solve all of these.

a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.

a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.

a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.

a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.

The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.

Hope this helps!

Answer: a= 5,b = 6,c = 8 and a=6,b = 8,c = 10

Step-by-step explanation: I found the correct answer on my test so hopefully this help you! :)

Please help i will mark brainliest for correct answers!​

Answers

Answer:

9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.

10) 2/3 (or 2:3, or 66.6%, or 0.66)

Step-by-step explanation:

9) Here are the possibilities of the cards you could pick

KQ, KJ, K10, QJ, Q10, J10

Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.

10) It doesn’t matter which card you pick first.  The second card has a 1 in 3 chance of being the same card (whatever it is).  That means you have a 2 in 3 chance of it NOT being the same card.  So the probability is 2/3.

Which of the following are roots of the polynomial function? Check all that apply f(x) = x^3 + 3x^2 - 9x + 5

Answers

Answer:

x = 1 or x = -5

Step-by-step explanation:

Solve for x:

x^3 + 3 x^2 - 9 x + 5 = 0

The left hand side factors into a product with two terms:

(x - 1)^2 (x + 5) = 0

Split into two equations:

(x - 1)^2 = 0 or x + 5 = 0

Take the square root of both sides:

x - 1 = 0 or x + 5 = 0

Add 1 to both sides:

x = 1 or x + 5 = 0

Subtract 5 from both sides:

Answer:  x = 1 or x = -5

What is the solution to this system of linear equations?

y − x = 6

y + x = −10

1.(−2, −8)
2.(−8, −2)
3.(6, −10)
4.(−10, 6)

Answers

Answer:

(-8, -2)

Step-by-step explanation:

Combine these equations:  You'll get 2y = -4, so that y = -2.

Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8

Thus the solution is (-8, -2)

How many people are in the set C N D?

4

6

36

38

Answers

Answer:

A. 4 people

Step-by-step explanation:

Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.

Answer: 4

Step-by-step explanation:

edge

A)f(x)=(x-1)(x+2)(x+4)
B)f(x)=(x-8)(x-4)(x-2)(x+1)
C)f(x)=(x-1)(x+2)(x+4)(x+8)
D)f(x)=(x-4)(x-2)(x+1)

Answers

Answer:

B) f(x) =(x-8)(x-4)(x-2)(x+1)

For three consecutive numbers, the sum of the first number, twice the second, and 7
less than the third is 133. What are the three numbers?​

Answers

Answer:

a = 34

b = 34

c = 36

Step-by-step explanation:

a ; b ; c = consecutive numbers =>

b = a + 1

c = a + 2

a + 2b + c - 7 = 133

a + 2(a + 1) + (a + 2) - 7 = 133

a + 2a + 2 + a + 2 - 7 = 133

4a = 133 + 7 - 4

4a = 136

a = 34

b = 34

c = 36

1. Without graphing, identify the quadrant in which the point (x, y) lies if x > 0 and y<0.
A.IV
B.III
C.I
D.II

Answers

Answer:

A

Step-by-step explanation:

The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.

Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter

Answers

The answer is 142 degrees. I subtracted 38 from 180 because they are supplementary angles.

50 people took a driving test. 18 of the 50 people are women. One quarter of the men failed the driving test. The number of men who passed the driving test was 8 more than the number of women who passed the test. A person is chosen at random. What is the probability that they passed the driving test? Write your answer as a decimal.

Answers

Answer:

Step-by-step explanation:

No. of people who took the test = 50

No. of women who took the test = 18

Therefore, no. of men who took the test = 50 - 18 = 32

No. of men who did not pass the test = 1/4 × 32 = 8

No. of men who passed = 32 - 8 =24

The no. of men who passed is 8 more than the no. of women who passed Therefore, the no. of women who passed = 24 - 8 = 16

No. of women who failed = 18 - 16 = 2

Total no. of people who passed = 24 + 16 = 40

Total no. of people that didnt pass = 2 + 8 = 10

Therefore probability that they passed = 50/40 = 1.25

Hope this help : ) . Have a nice day !

Answer:  The probability is  0.8

Step-by-step explanation:

Total who took the test = 50

Women who took the test = 18

50 - 18 = 32  is the number of men

32/4 = 8    men who did not pass

Men who passed = 32 - 8 =24

To find the number of women who passed :  24 - 8 = 16

Total  of people who passed = 24 + 16 = 40

Number who passed out of total people  = 40/50   Converted ro decimal: 0.8

So the probability of randomly selecting a person who passed is 0.8

BRAINLY: Ken is working this summer as part of a crew on a
farm. He earned $8 per hour for the first 10 hours he
worked this week. Because of his performance, his
crew leader raised his salary to $10 per hour for the
rest of the week. Ken saves 90% of his earnings from
each week. What is the least number of hours he
must work the rest of the week to save at least $270 for the week? Please show how you got your answer

Answers

Answer:

22 hours

Step-by-step explanation:

Ken saves 90% of his earnings.

So, he must earn

270/x =90/100

90x=270*100

90x=27,000

x=27000/90

=300

x=$300 to save $270

For starting 10hours, Ken earns $8 per hour so he earns total

$8*10 hours=$80

Now, Ken has to earn remaining

$220 at a rate of $10/hour, he must work for at least

$220/$10

=22hours

PLEASE ANSWER ASAP I WILL MARK BRAINLY

Answers

Answer:

multiplication property of equality

Step-by-step explanation:

Since we are multiplying by the same amount on each side, we are using the multiplication property of equality

Answer: Multiplication Property of Equality

Step-by-step explanation:

This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true.  This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.

Hope it helps <3

Please answer this question now

Answers

Answer:

The midpoint is (8,9.5)

Step-by-step explanation:

The midpoint is found by averaging the x coordinates and the y coordinates

x = (x1+x2)/2     y = (y1+y2)/2

x = (13+3)/2 = 16/2 = 8

y = (5+14)/2 = 19/2 = 9.5

The midpoint is (8,9.5)


x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?

Answers

Answer:

(10, 14)

Step-by-step explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check:  Is this true?  3(10) + 5(14) = 100  YES

The solution is (10, 14).

What was it about the questions on the best that you were supposed to compare to this solution?

Answer:

B. The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

Assuming that this is the one on edge, it should be this answer!

What is the slope of line a?

Answers

Answer:

-1/3

Step-by-step explanation:

Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.

Alternatively you could use Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

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These medications are stored frozen and defrosted to room temperature before they're administered to the patient. Can someone help me please