The following points are rotated about the origin through 90° in clockwise direction. Find the new coordinates,
A. A(1,3), B(5,3), and C(3, 1)
B. A' (3,-1), B'(-5, -3), and C (1.-3)
C. A'(3,-1), B (3,-5), and C(1, -3)
D. O A'(3, 1), B'(3,5), and C(1,3)

Answers

Answer 1

Answer:

C

Maybe it is B or A as the answer.

Answer 2

Answer:

B.

A'(1,-3), B'(1,-7), C'(-3,-7), D'(-3,-3)

Step-by-step explanation:

study island


Related Questions

X=3g+2 make g the subject

Answers

[tex]\huge \boxed{g=\frac{x-2}{3} }[/tex]

Answer:

[tex]g=\frac{x-2}{3}[/tex]

Step-by-step explanation:

Hi there!

[tex]x=3g+2[/tex]

We can make g the subject by using inverse operations to cancel values out. For example, 2 is being added to 3g. To move it, we can subtract 2 from both sides:

[tex]x-2=3g+2-2\\x-2=3g[/tex]

Now, to move the 3, divide both sides by 3:

[tex]\frac{x-2}{3}=\frac{3g}{3} \\\frac{x-2}{3}=g[/tex]

I hope this helps!

Find the value of x. Round to
the nearest tenth.

Answers

Answer:

80.4

Step-by-step explanation:

tan15=x/300

300tan(15)=80.38

An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Smaller angle = 53.2

Larger angle = 126.8

Step-by-step explanation:

Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this [tex]x + (x-73.6) = 180[/tex]. Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.

Find cosθ+cos3θ+cos5θ+cos7θ by using the Sum-to-Product Formula.
Please also show your work as well. Thanks!

Answers

Answer:

[tex] \rm\displaystyle 4\cos( \theta) \cos \left( {2\theta} \right) \cos \left( {4 \theta } \right) [/tex]

Step-by-step explanation:

I assume the question want us to rewrite cosθ+cos3θ+cos5θ+cos7θ by using Sum-to-Product Formula and note that it's not an equation therefore θ can never be specified

===========================

so we want to rewrite cosθ+cos3θ+cos5θ+cos7θ by using Sum-to-Product Formula the good news is that the number of the function of the given expression is even so there's a way to do so, rewrite the expression in parentheses notation:

[tex] \rm\displaystyle \left( \cos( \theta) + \cos(3 \theta) \right) + \left(\cos(5 \theta) + \cos(7 \theta) \right)[/tex]

recall that,Sum-to-Product Formula of cos function:

[tex] \rm \boxed{\displaystyle \cos( \alpha ) + \cos( \beta ) = 2 \cos \left( \frac{ \alpha + \beta }{2} \right) \cos \left( \frac{ \alpha - \beta }{2} \right) }[/tex]

notice that we have two pair of function with which we can apply the formula thus do so,

[tex] \rm\displaystyle \left( 2\cos \left( \frac{ \theta + 3 \theta}{2} \right)\cos \left( \frac{ \theta - 3 \theta}{2} \right) \right) + \left(2\cos \left( \frac{5 \theta + 7 \theta}{2} \right) \cos \left( \frac{5 \theta - 7 \theta}{2} \right) \right)[/tex]

simplify addition:

[tex] \rm\displaystyle \left( 2\cos \left( \frac{4 \theta}{2} \right)\cos \left( \frac{ - 2\theta }{2} \right) \right) + \left(2\cos \left( \frac{12 \theta }{2} \right) \cos \left( \frac{ - 2 \theta}{2} \right) \right)[/tex]

simplify division:

[tex] \rm\displaystyle \left( 2\cos \left( {2 \theta} \right)\cos \left( { - \theta } \right) \right) + \left(2\cos \left( {6 \theta } \right) \cos \left( { - \theta} \right) \right)[/tex]

By Opposite Angle Identities we acquire:

[tex] \rm\displaystyle \left( 2\cos \left( {2 \theta} \right)\cos \left( { \theta } \right) \right) + \left(2\cos \left( {6 \theta } \right) \cos \left( { \theta} \right) \right)[/tex]

factor out 2cosθ:

[tex] \rm\displaystyle 2 \cos( \theta) (\cos \left( {2 \theta} \right) + \cos \left( {6 \theta } \right) )[/tex]

once again apply Sum-to-Product Formula which yields:

[tex] \rm\displaystyle 2 \cos( \theta) (2\cos \left( {4\theta} \right) \cos \left( {2 \theta } \right) )[/tex]

distribute:

[tex] \rm\displaystyle 4\cos( \theta) \cos \left( {2\theta} \right) \cos \left( {4 \theta } \right) [/tex]

and we're done!

pls help thank u so very much

Answers

Answer:

D

Step-by-step explanation:

The parent function is

[tex]f(x) = \sqrt[3]{x} [/tex]

g(x) translates to the right 2 units so we can represent this as

[tex] \sqrt[3]{x - 2} [/tex]

G(x) is shifted up 1 so our function is now

[tex] \sqrt[3]{x - 2} + 1[/tex]

how many numbers are there from x through 7x-8

Answers

6x-7 is your answer

cos theta / sec theta -1 - sin theta / 1+cos theta = 2 cot theta​

Answers

Step-by-step explanation:

Explanation is in the attachment

Hope it is helpful to you

please help me with this problem !

Answers

Answer: 2/3

Step-by-step explanation:

1/4 (3/12) plus 5/12 = 8/12

which can be simplified by 4

State what additional information is required in order to know that the triangle in the image below are congruent for the reason given…

Reason: HL Postulate

Answers

Answer:

FG ≈ FL (Both are hypotenuse, supposed to be equal in order to the congruency to become HL)

Answered by GAUTHMATH

prove that √2 + √3 is irrational​

Answers

Step-by-step explanation:

Let √2 + √3 be a / b.

a and b are co - primes.

a and b have 1 as a common factor.

√2 + √3 = a / b

( √2 + √3 )^2 = ( a / b )^2

(√2)^2 + (√3)^2 + 2.√2.√3 = a^2 / b^2

2 + 3 + 2.√2.√3 = a^2 / b^2

5 + 2.√2.√3 = a^2 / b^2

2.√2.√3 = ( a^2 / b^2 ) - 5

2.√2.√3 = ( a^2 - 5b^2 ) / b^2

√2.√3 = ( a^2 - 5b^2 ) / 2b^2

a and b are not co - primes, as they more than 1 as a common factor.

So,

√2 + √3 is irrational.

Hence, proved.

In a quadrilateral HELP, HE is congruent to LP. What other condition would prove that HELP is a parallelogram?

Answers

Answer:

[tex]HE || LP[/tex]

Step-by-step explanation:

Given

[tex]HE \cong LP[/tex]

Required

Which proves that [tex]HELP[/tex] is a parallelogram

We have:

[tex]HE \cong LP[/tex]

The given sides must also be parallel i.e.

[tex]HE || LP[/tex]

Hence, (c) is correct

What is sciences technoligy ?​

Answers

Answer:

See both definitions below

Step-by-step explanation:

Let us define science

Science is a body of knowledge, it is a systematic application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence.

Let us define Technology

Simply put, technology is the application of scientific knowledge

Answer:

Simply put, technology is the application of scientific knowledge Step-by-step explanation:

Please hurry I will mark you brainliest

Answers

Answer:

To find width when given perimeter and length you must multiply the length by two and subtract that amount from the perimeter. Then divide the new number by two.

Step-by-step explanation:

A square has a side length of 36 feet. This square is dilated by a scale factor of 2/3 to create a new square. What is the side length of the new square?

Answers

Answer:

24

Step-by-step explanation:

Multiply the side length by the dilation

36 x 2/3

72/3

Simplify

72/3 = 24

Your answer is correct

Find the length of the segment indicated. Round your answer to the nearest 10th if necessary.

Answers

Answer:

x=13.6

Step-by-step explanation:

By Pythagoras theorem, 5.5^2+x^2=14.7^2. x^2=14.7^2-5.5^2. x=13.6

If f is continuous for all x, which of the following integrals necessarily have the same value?

Answers

Answer:

B

Step-by-step explanation:

Given the three integrals, we want to determine which integrals necessarily have the same value.

We can let the first integral be itself.

For the second integral, we can perform a u-substitution. Let u = x + a. Then:

[tex]\displaystyle du = dx[/tex]

Changing our limits of integration:

[tex]u_1=(0)+a=a \text{ and } u_2 = (b+a)+a = b+2a[/tex]

Thus, the second integral becomes:

[tex]\displaystyle \int_{0}^{b+a}f(x+a)\, dx = \int_a^{b+2a} f(u)\, du[/tex]

For the third integral, we can also perform a u-substitution. Let u = x + c. Then:

[tex]\displaystyle du = dx[/tex]

And changing our limits of integration:

[tex]\displaystyle u_1=(a-c)+c=a \text{ and } u_2=(b-c)+c=b[/tex]

Thus, our third integral becomes:

[tex]\displaystyle \int_{a-c}^{b-c}f(x+c)\, dx = \int_{a}^{b} f(u)\, du[/tex]

Since the only difference between f(x) and f(u) is the variable and both the first and third integral have the same limits of integration, our answer is B.

What is the circumference of a circle with a diameter of 5 feet? Use 3.14 for pie.

Answers

Answer:

A. 15.7 ft

Step-by-step explanation:

circumference = 2πr

radius= half the diameter 5/2=2.5

2(3.14)(2.5)=15.7 ft

Find the area of the shaded region 6cm 6cm

Answers

hope this helps! the answer is option (A). if you still don’t understand after looking at my solution feel free to clarify ya

can someone please help

Answers

Answer:

see image

Step-by-step explanation:

Find cos 0
A. 15/8
B. 15/17
C. 8/15
D. 8/17

Answers

Answer:

A.15/8

Step-by-step explanation:

the answer is 15/8

Answer:

D.

[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{ \sqrt{ {15}^{2} + {8}^{2} } } }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{ \sqrt{289} } }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{17} }}[/tex]

The difference between 15 and 9 is subtracted from 5 times the sum of 7 and 3​

Answers

Answer:

44

Step-by-step explanation:

The difference between 15 and 9 is 6. 5 times the sum of 7 and 3 is 50 because 7+3=10 and 10 times 5 is 50. So if you subtract the difference between 15 and 9 from 50 you get 44.

Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?

Answers

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

2.5 - 0.10y + 0.25y = 4.75

Combine like terms:

2.5 + 0.15y = 4.75

Isolate variable y:

0.15y = 2.25

y = 15

Plug in the value of y into any equation:

x + y = 25

x + 15 = 25

Isolate variable x:

x = 10

If the speed of an object in motion is doubled, its kinetic energy becomes how many times the original kinetic energy

Answers

Answer: Becomes four times

Step-by-step explanation:

Given

Speed is doubled for a moving object

Suppose initial speed is u

Increased speed is 2u

Kinetic Energy is given by

[tex]\Rightarrow K=0.5mu^2[/tex]

When speed is doubled

[tex]\Rightarrow K'=0.5m(2u)^2\\\Rightarrow K'=(0.5mu^2)\times 4\\\Rightarrow K'=4K[/tex]

Kinetic energy becomes four times

once again i’m in a pickle please help

Answers

Answer:

19

Step-by-step explanation:

You will need expand so you can plug in the givens

Quotient rule: log(b^7)-[log(a^5c^6)]

Product rule: log(b^7)-[log(a^5)+log(c^6)]

Distribute: log(b^7)-log(a^5)-log(c^6)

Power rule: 7log(b)-5log(a)-6log(c)

Plug in: 7(4)-5(3)-6(-1)

Simplify: 28-15+6

Simplify: 13+6

Simplify: 19

A house on the market was valued at $472,000. After several years, the value increased by 19%. By how much did the house's value increase in dollars? What is the current value of the house?

Answers

Step-by-step explanation:

Increase in dollars

19/100 x 472.000 = $89,670

and the current value house is $472,000 + $89,670 = $561,680

Identifying Types Of Angles: Check all relationships between angle 1 and angle 2. ​

Am I doing this right?

Answers

#1. Vertical

#2. Adjacent, Complementary

#3. Adjacent, Linear Pair, Supplementary

---A linear pair forms a line, which is equal to 180 degrees

#4. Adjacent

#5. Vertical, Complementary

#6. Vertical, Supplementary

---There is a 90 degree angle within this problem. If one angle is 90 degrees, then they are all 90 degrees, which makes the sum of angle 1 and 2 = 180. So, they are supplementary.

Hope this helps!

The relationship between angle 1 and 2 are as follows:

1. ∠1 ≅ ∠2 (vertical angles)

2. ∠1 and ∠2 are adjacent and complementary angles.

3. ∠1 and ∠2 are linear pairs and supplementary angles

4. ∠1 and ∠2 are adjacent angles

5. ∠1 and ∠2 are vertical angles

6. ∠1 and ∠2 are vertical angles and supplementary angles.

1.

Vertical angles:Vertical angles that are pair of opposite angles formed by intersecting lines. Vertical angles share the same vertex.

Therefore,

∠1 ≅ 2 (vertical angles)

2.

Adjacent angles:Adjacent angles have common sides and common vertexComplementary angle :This angles sum up to 90 degrees.

Therefore,

∠1 and ∠2 are adjacent and complementary angles.

3.

Linear pair angles:This is a pair of adjacent angles form when two lines intersect. It sum up to 180 degrees. Supplementary angles:Supplementary angles are angles that sum up to 180 degrees.

∠1 and ∠2 are linear pairs and supplementary angles.

4.

∠1 and ∠2 are adjacent angles

5.

∠1 and ∠2 are vertical angles

6.

∠1 and ∠2 are vertical angles and supplementary angles

learn more on angles here: https://brainly.com/question/18166236?referrer=searchResults

Convert to decimal degrees.

-(167° 31”)

[?]°

Enter your answer with three decimal places.

Answers

Answer:

The angle in decimal form is 167.009°.

Step-by-step explanation:

We know an angle in terms of integer angles, minutes and seconds, whose conversion into decimal degrees is expressed by the following formula:

[tex]\theta = n + \frac{m}{60}+\frac{s}{3600}[/tex] (1)

Donde:

[tex]n[/tex] - Integer angle, in sexagesimal degrees.

[tex]m[/tex] - Minutes.

[tex]s[/tex] - Seconds.

If we know that [tex]n = 167[/tex], [tex]m = 0[/tex] and [tex]s = 31''[/tex], then the angle in decimal form is:

[tex]\theta = 167^{\circ}+\frac{0}{60}^{\circ} + \frac{31}{3600}^{\circ}[/tex]

[tex]\theta = 167.009^{\circ}[/tex]

The angle in decimal form is 167.009°.

find the missing length indicated​

Answers

Answer:

25+144+X=180°

169+X=180°

X= 180-169

Therefore, x= 11°

checking process: (25+144+11= 180°)

Answer:

x = 11 i beileve!

Step-by-step explanation:

Please help! Identify an equation in point-slope form for the line parallel to y=3/4x-4 that passes through (-1,7).

Answers

The answer is c y-7=3/4(x+1) hope this helps.

6. Solve the triangle by finding the length of DF and the measures of all the angles. For side lengths, round to the
nearest tenth. For angles, round to the nearest degree. (2 points)
D
5 ft
E
DF =
D
LE=
5.83 ft
ZF =
F

Answers

Answer:

∠F = 59°

∠E = 31°

DF = ≅ 3  (2.98)

Step-by-step explanation:

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