Instructions: Given the preimage reflect over the x-axis then they axis. Find
the new coordinates.
10
8
6
1012
А
-12 -10 8 6 4-2
-2
B
-4
D
-6
С
-12
The coordinates of the preimage are:
A(-8, -2)
B(-4, -3)
C(-2,-8)
D(-10, -6)
Now let's find the coordinates after the reflection over the x-axis.
A'(-8,
B' (-4,
C'(-2,
D' (-10,

Instructions: Given The Preimage Reflect Over The X-axis Then They Axis. Findthe New Coordinates.10861012-12

Answers

Answer 1

Answer:

The coordinates are;

For reflection over the x-axis

A'(-8, 2)

B'(-4, 3)

C'(-2, 8)

D'(-10, 6)

For reflection over the y-axis;

A''(8, 2)

B''(4, 3)

C''(2, 8)

D''(10, 6)

Step-by-step explanation:

When a point (x, y) is reflected over the x, axis, we have;

Coordinates of the pre-image = (x, y)

Coordinates of the image after reflection = (x, -y)

Therefore, for the points A, B, C, D we have;

Pre-image A(-8, -2), Image A'(-8, 2)

Pre-image B(-4, -3), Image B'(-4, 3)

Pre-image C(-2, -8), Image C'(-2, 8)

Pre-image D(-10, -6), Image D'(-10, 6)

When a point (x, y) is reflected over the y, axis, we have;

Coordinates of the pre-image = (x, y)

Coordinates of the image after reflection = (-x, y)

Therefore, for the points A', B', C', D' we have;

Pre-image A'(-8, 2), Image A''(8, 2)

Pre-image B'(-4, 3), Image B''(4, 3)

Pre-image C'(-2, 8), Image C''(2, 8)

Pre-image D'(-10, 6), Image D''(10, 6).


Related Questions

Please help I will give out brainliest

Answers

Answer:

All the points change, there are no invariant points

Step-by-step explanation:

The given parameters are

To translate the square OABC by the vector  [tex]\dbinom{1}{3}[/tex], we have;

The coordinates of the point O is (0, 0)

The coordinates of the point A is (3, 0)

The coordinates of the point B is (3, 3)

The coordinates of the point C is (0. 3)

The translation is by moving 1 step right and three steps up to give;

O' is (0+1, 0+3) which is (1, 3)

A' is (3+1, 0+3) which is (4, 3)

B' is (3+1, 3+3) which gives (4, 6)

C' is (0+1, 3+3) which gives (1, 6)

As all the points change, there are no invariant points and the number of invariant points is zero.

The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.

Answers

Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = [tex]2\pi rh[/tex]

Now, if  radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height  will be  [tex]H=\dfrac{1}{2}[/tex]

Now, new surface area = [tex]2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh[/tex]

Ratio of curved surface areas : [tex]\dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}[/tex]

Hence, the ratios of their surface areas = 1:1 .

Solve this system of linear equations. Separate
the x- and y-values with a comma.
15x + 4y = -80
5x + 5y = 10​

Answers

Answer:

  (-8,10)

Step-by-step explanation:

hope i helped!

u can substitute if u want to recheck

can i get brainliest pls?

-Zylynn

which of the following has the least steep graph?

A.) y = 1/2x + 3

B.) y = x + 24

C.) y = 3x - 16

D.) y = 2x + 7/15​

Answers

Answer:

A) y=1/2x+3

Step-by-step explanation:

Hey can anyone help me with this question?Identify the side or angle that is common to ∆ABC and ∆CDA.

Answers

Answer:

Answer D

Step-by-step explanation:

You can see that AC belongs to both triangles (ABC and CDA), you AC is the common side.

The width of a rectangle is 3 meters more than half of the length. the perimeter is 516 meters. What is the length and the width?

Answers

Answer:

Length = 8 meters

Width = 5 meters

Step-by-step explanation:

2*(3 + (1/4)L + L) = 26 meters

1/4L + L = 26/2 - 3

1/4L + 4/4L = 10

5/4L = 10

L = 10 * 4/5

L = 40/5 = 8 meters

W = 3 + 1/4 L

W = 3 + 1/4 *8

W = 3 + 2

W = 5 meters

Hey there! I'm happy to help!

Let's write this out as a system of equations. We will have W be the width and L be the length.

W=0.5L+3

2L+2W=516

Since we know that W is equal to 0.5L+3, we can swap the W in the second equation with 0.5L+3 so we can solve for L!

2L+2(0.5L+3)=516

We use the distributive property to undo the parentheses.

2L+L+6=516

We combine like terms.

3L+6=516

We subtract 6 from both sides.

3L=510

We divide both sides by 3.

L=170

Now, we know that the width is 3 meters more than half the length. So, we take 1/2 of 170, which is 85, and then we add three, giving us 88.

So, our length is 170 meters and the width is 88 meters.

Have a wonderful day!

!!!!!!WILL GIVE BRAINLEIST !!!!!!

Answers

Answer:

[tex]\boxed{Median = 152}[/tex]

Step-by-step explanation:

Observation = 568 , 254 , 152 , 101 , 100

In ascending order:

=> 100 , 101 , 152 , 254 , 568

Median is the middlemost no. So here:

Median = 152

Answer:

152

Step-by-step explanation:

If you set the data in an ascending order, you will find 152 to be the middle value, thus being the median

Given that a quadrilateral PQRS is a parallelogram, PQ and RS are opposite sides, PQ = 6x + 10, RS = + 12, and QR = 31 which of the following statements are correct?. More than one answer may be correct.


- Opposite sides are congruent

- The diagonals are perpendicular

- The parallelogram PQRS is a square

- Perimeter = 106

- PS = 31

- x = 4

- None of these answers are correct

Answers

Answer:

option 1 & option 5

Step-by-step explanation:

In a parallelogram,

1) opposite sides are congruent

2) So, PS = QR = 31

Answer:

Opposite sides are congruent

PS = 31

Step-by-step explanation:

based on what I learned when I was grade 9 and this topic is one fof my favorite so Yeh

hope its correct (~ ̄▽ ̄)~

PLEASE HELP ME TO COMPLETE THIS QUESTION ​

Answers

Answer:

Step-by-step explanation:

a) Increase in population =510,000 - 430,000 = 80,000

Percentage increase = [tex]\frac{80,000}{430,000}*100[/tex]

                                   = [tex]\frac{800}{43}[/tex]

                                   = 18.6 %

b) Percentage increase = 17.3%

Increase in population = 17.3% * 510,000

                                     = 0.173 * 510,000

                                     = 88,230

Predicted population in 2021 = 510,000 + 88,230

                                                 =  598,230

Please help I don't understand this at all ​

Answers

Answer:

Since ΔABC is equilateral, ∠ACB = 60°. Since ΔCED is isosceles (we know this because CE = ED from the graph), ∠ECD = ∠EDC from Base Angles Theorem, and since the sum of angles in a triangle is 180°, they measure (180 - 32) / 2 = 74° each. Since BCD is a straight line, it measures 180° so we can write:

60 + x + 74 = 180

134 + x = 180

x = 46°

Answer:

46 degrees

Step-by-step explanation:

Since triangle ABC is equilateral that means each angle in that triangle is 60 degrees.

We also know that for triangle ECD angle C and angle D have to be 74 degrees, because a triangle has 180 degrees in total and the only unique angle is at the top which is 32. So it is 180-32=148, than 148/2=74.

We than know that a half circle is 180 degrees aswell, so we do 180-60=120

120-74=46

Evaluate 55 ÷ 11 + (13 x 3)

Answers

Step-by-step explanation:

55 ÷ 11 + (13 x 3)

5 + (13 x 3)

5 + 39

44

Answer:

44

Step-by-step explanation:

13 * 3 = 39

55/11 = 5

5 + 39 = 44

I hope I helped!  Please mark me brainliest!

Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °

Answers

Answer:

m∠5 = 77

Step-by-step explanation:

∠3 & ∠ 5 are the co interior angles in the same side of the transversal

∠3 + ∠5 = 180 {sum of co interior angles is 180}

3x + 4 + 2x +11 = 180  {Add like terms}

5x + 15 = 180

Subtract 15 from both sides

5x + 15 - 15 = 180 -15

5x = 165

Divide both side by 5

5x/5 = 165/5

x = 33°

m∠5 = 2x + 11 = 2*33 + 11

        = 66 + 11

       = 77

Answer:

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.

Angles 3 and 5 are "same side interior angles"

The equation "(3x + 4) + (2x + 11) = 180" can be used to solve for x.

m∠5 = "77°"

Step-by-step explanation:

Write the expression in standard form. Then find the degree, leading coefficient, and constant of the polynomial.
(2x + 3) (3x – 5)
Degree:
Leading Coefficient:
Constant:

Answers

Answer:

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Step-by-step explanation:

(2x + 3) (3x – 5)=

6x²+9x-10x-15=

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Please answer it now in two minutes

Answers

Answer:

m∠C = 90°

Step-by-step explanation:

Triangle BDC is a right triangle with the measure of angle D = 90°

By applying Cosine rule in the given triangle,

Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)

CosC = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

CosC = [tex]\frac{\text{DC}}{\text{BC}}[/tex]

CosC = [tex]\frac{7}{8}[/tex]

[tex]C=\text{Cos}^{-1}(\frac{7}{8})[/tex]

C = 28.955

C = 29°

Therefore, m∠C = 29° will be the answer.

i rlly need help :( this is hard

Answers

Answer:

A

Step-by-step explanation:

The domain does not exist when the denominater of an equation is zero. So in this case if x was -2 and we added 2 the denominator would be zero, and that value does not exist in the domain. Hope this helps!

Help asap please and please explain so I could try the rest on my own

Answers

Answer:

7

Step-by-step explanation:

It has a 45 45 90 ratio, so if the hypotenuse is 7 root 2, then the two sides have to be 7.

7 like that person said

A car travels 32 km due north and
then 46 km in a direction 40° west of
north. Find the magnitude of the
car's resultant vector.

Answers

Answer:

73.2km

Step-by-step explanation:

first you have to decompose 46 km into y and x components.

x=sin40°*46km

x=0.64*46km

x=29.44km

y=cos40°*46km

y=0.76*46km

y=34.96

now you add the y components together

32+34.96=66.98

finally use Pythagorean thereom to find the resultant vector.

a*a+ b*b=c*c

66.98*66.98+29.44*29.44=c*c

c*c= 4486.3+866.7

c=√5353

c=73.2 km this is the approximate value

Please answer this question now

Answers

Answer:

x=33

Step-by-step explanation:

x-9=24 the tangent of the circle are equal in length

x=33

I have never understood these. Help.

Answers

Answer:

5 sqrt(5)

Step-by-step explanation:

sqrt(125)

sqrt( 25*5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(25) sqrt(5)

5 sqrt(5)

Answer:

5√(5)

Step-by-step explanation:

Notice that 125 is 25×5

If you couldn't do it use the prime factorization.

Prime numbers are 2,3,5.....

125 isn't divisible by 2 and 3 so we'll go with 5.

● 125 ÷ 5 = 25

Againg 25 is divisible by 5

● 25÷5 = 5

5 is divisible by 5

● 5÷5=1

So 125= 5×5×5 = 5^2 × 5

● √(125)= √(5^2×5) = 5√(5)

Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D

Answers

Q;- Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D

A;- Marx and Engels believed that the capitalist system should be destroyed.

Please answer it now

Answers

Answer:

s= 15 (nearest integer), 14.8 (to nearest 10ths)

Step-by-step explanation:

here you need to apply the cosine rule,

[tex] {s}^{2} = {u}^{2} + {t}^{2} - 2ut \cos(s) [/tex]

substituting the values,

u= 13, t=5 and angle S as 60 and solving will give you the answer 14.76 (2 dp)

Sophia‘s favorite homemade cookie recipe requires one cup of chocolate chips for 10 servings if the number of cups required for multiple batches is proportional to the number of servings being made how many cups of chocolate chips will she need to make enough cookies for 30 servings

Answers

Answer:

3 cups

Step-by-step explanation:

We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches

[tex]\frac{c}{b}[/tex]

[tex]\frac{1}{10} = \frac{c}{30}[/tex]

We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)

[tex]30 \cdot 1 = 30\\30 \div 10 = 3[/tex]

Therefore, she needs 3 cups of chocolate chips to make 30 servings.

Answer:

3 cups

Step-by-step explanation:

We can use ratios to solve

1 cup               x cups

---------------- = ----------------

10 servings     30 servings

Using cross products

1*30 = 10x

Divide by 10

30/10 = x

3 =x

3 cups

Darnell is making improvements to his 3: 13 feet by 12 feet bedroom. Which deal would he best for him?

Paying $7.25 per sq feet

Paying $6.75 per sq feet plus a $100 installation fee

Answers

Answer:

paying $7.25 per sq feet

Step-by-step explanation:

So we can start off by solving the area:

12*13=156

so the total area is 156 feet sq

the first deal:

156/7.25= about $21.52

the second deal:

156/6.75= about $23.11, however with the installation fee, it will cost even more.

NEED HELP ON THIS A S A P

Answers

Answer:

150

Step-by-step explanation:

To get to the park from her house, Rachel walked 4 kilometers due north and then 3 kilometers due west. On the way back, she cut across a field, taking the shortest
possible route home,
How far did Rachel walk on the round-trip?

Answers

Answer:

12 km

Step-by-step explanation:

Using the Pythagorean Theorem, you know that 3^2 + 4^2 = x^2, so 9 + 16 = x^2, which means that x = the square root of 25, which is 5. Then you add all three lengths of the triangle together to get the round trip. 3 + 4 + 5= 12.

continuation of previous question :)

Answers

Answer:

Below

Step-by-step explanation:

First let's determine the slope if thus function

Let m be the slope of this function

m = [0-(-4)]/ 2-0 = 4/2 =2

So our equation is:

y = 3x +b

b is the y-intercept wich is given by the image of 0

Here it's -4

So the equation is:

y = 2x-4 wich is also y = x-2 after simplifying

●●●●●●●●●●●●●●●●●●●●●●●●

A line that is parallel to this one will have the same slope.

Examples:

● y= 2x+3

● y = 2x-7

■■■■■■■■■■■■■■■■■■■■■■■■■■

A line that is perpendicular to this one and has a slope m' satisfy this condition:

m*m'= -1

m'= -1/m

m' = -1/2

So this line should have a slope that is equal to -1/2

Answers from the choices:

y = -1/2 x +1/2

y+1= -1/2 (x-3)

area of parallelogramis 30 cm^2. if the length of two adjacent sides are 6 cm and 10 cm respectively. find its diagonal​

Answers

Answer:

the long diagonal d=15.49 ( rounded to the nearest hundredth)

the shortest d=√136-120(cos 30)=5.663 ( rounded to the nearest hundredth)

Step-by-step explanation:

Area=height * base

30=h*6

h=30/6=5 cm

height=asinФ

sinФ=5/10=1/2 (Ф=30)

alternate angle=180

180-30=150 degrees

diagonal²=a^2+b^2-2abcos150

d²=10²+6²-2(10)(6)(-√3/2)

d=√136+60(√3)

the long diagonal d=15.49 ( rounded to the nearest hundredth)

the shortest d=√136-120(cos30)=5.663

The Acme Candy Company claims that​ 60% of the jawbreakers it produces weigh more than 0.4 ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Would it be significant for this sample of 800 to contain 494 jawbreakers that weigh more than 0.4​ ounces? Consider as significant any result that differs from the mean by at least 2 standard deviations. That​ is, significant values are either less than or equal to muminus2sigma or greater than or equal to muplus2sigma.

Answers

Answer:

Yes, it would be statistically significant

Step-by-step explanation:

The information given are;

The percentage of jawbreakers it produces that weigh more than 0.4 ounces = 60%

Number of jawbreakers in the sample, n = 800

The mean proportion of jawbreakers that weigh more than 0.4 = 60% = 0.6 = [tex]\mu _ {\hat p}[/tex] =p

The formula for the standard deviation of a proportion is [tex]\sigma _{\hat p} =\sqrt{\dfrac{p(1-p)}{n} }[/tex]

Solving for the standard deviation gives;

[tex]\sigma _{\hat p} =\sqrt{\dfrac{0.6 \cdot (1-0.6)}{800} } = 0.0173[/tex]

Given that the mean proportion is 0.6, the expected value of jawbreakers that weigh more than 0.4  in the sample of 800 = 800*0.6 = 480

For statistical significance the difference from the mean = 2×[tex]\sigma _{\hat p}[/tex] = 2*0.0173 = 0.0346 the equivalent number of Jaw breakers = 800*0.0346 = 27.7

The z-score of 494 jawbreakers is given as follows;

[tex]Z=\dfrac{x-\mu _{\hat p} }{\sigma _{\hat p} }[/tex]

[tex]Z=\dfrac{494-480 }{0.0173 } = 230.94[/tex]

Therefore, the z-score more than 2 ×[tex]\sigma _{\hat p}[/tex] which is significant.

Answer:

Step-by-step explanation:

min 452, max 507, so 494 is not unusual.

what happens to 3y / 2y as y increases?

Answers

Answer: Nothing

Step-by-step explanation:

If you multiply the numerator and denominator of a fraction by any number(apart from 0), it doesn't change.

Hope it helps <3

Answer:

it is the same

Step-by-step explanation:

it is decreasing not increasing

j is 7 times as large as 6. Solve for j. j=

Answers

Answer:

42

Step-by-step explanation:

7 times as large as 6   = 7 * 6

7 * 6 = 42

Hope this helps

Answer:

42

Step-by-step explanation:

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