Question 1
Mallory is investigating transformations in the coordinate plane. She makes the claims shown in the options below.
Select each claim that is true for all points in the coordinate plane.
СА A reflection over the y-axis takes the point (x, y) to (-2,y)
De A reflection over the line y = -x takes the point (x, y) to (x, y).
С
A translation of 4 units down takes the point (x, y) to (x, y - 4)
A rotation of 180° clockwise about the origin takes the point (x, y) to (y. –x).
co
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Answer:

[tex]y^2+x^2=9[/tex]

Step-by-step explanation:

Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.

Two lines of slopes m1 and m2 are perpendicular if:

m1*m2=-1

The slope of the line passing through P(x,y) and A(3,0) is:

[tex]\displaystyle m_1=\frac{y-0}{x-3}=\frac{y}{x-3}[/tex]

The slope of the line passing through P(x,y) and B(-3,0) is:

[tex]\displaystyle m_2=\frac{y-0}{x+3}=\frac{y}{x+3}[/tex]

Substituting in the equation:

[tex]\displaystyle \frac{y}{x-3}\cdot\frac{y}{x+3}=-1[/tex]

Operating:

[tex]\displaystyle \frac{y^2}{(x-3)(x+3)}=-1[/tex]

[tex]y^2=-(x-3)(x+3)[/tex]

[tex]y^2=-(x^2-9)[/tex]

[tex]y^2=-x^2+9[/tex]

[tex]\boxed{y^2+x^2=9}[/tex]

The locus is a circle centered at the origin with radius 3

Answer:

The price increase is $6,027

The price of the next model is $55,027

Step-by-step explanation:

Find the cost of the next model by multiplying 49,000 by 1.123

49,000(1.123)

= 55,027

Find the price increase by finding the difference:

55,027 - 49,000

= 6,027

The price increase is $6,027

The price of the next model is $55,027

Answer:

First write the percent as a decimal to make calculating for the answer easier. Then, u see that its telling you it will be 12.3% more than current price.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -4/5,

[tex]y = - \frac{4}{5} x + c[/tex]

To find the y-intercept, substitute a pair of coordinates.

When x= -5, y= -4,

[tex] - 4 = - \frac{4}{5} ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8[/tex]

Thus, the equation of the line is

[tex]y = - \frac{4}{5} x - 8[/tex]

Answer:

Can you explain better? I might be able to solve

Step-by-step explanation:

Answer:

12/2g + 1

12/2(1)+1

12/2+1

12/3

4

Step-by-step explanation:

Answer:

6 Inches

Step-by-step explanation:

Per the above, we were given that;

1/4 inch = 5 feet

But,

X inch = 120 feet

We would represent the above as a ratio

1/4 inch / X inch = 5 feet / 120 feet

1/4 inch / X inch = 1 feet / 24 feet

When we cross multiply, we'll have

1/4 inch × 24 feet = X inch × 1 feet

X = 6 inches

Answer:

6 inches

Step-by-step explanation:

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

Answer: I think it’s the 8y= 7x + 6

Step-by-step explanation:

Well to make it easier, put it in slope intercept form, which that is y= -8/7x + 1/7. Since perpendicular lines are opposite sign reciprocal of the original equation, we know the slope of the perpendicular line would be positive, since the original was negative. So the answer would be 8y = 7x + 6

9514 1404 393

Answer:

  (b)  8y = 7x +6

Step-by-step explanation:

You can always make a perpendicular line by swapping the x- and y-coefficients, and negating one of them. In the process, ignore the constant.

Swapping the coefficients in the given equation gives you ...

  -8y = 7x + constant

Negating the y-coefficient, you get ...

  8y = 7x + constant . . . . . the equation of a perpendicular line

Using constant = 6 to match an answer choice, you can see that this matches ...

  8y = 7x +6

Answer: $7.44

Step-by-step explanation:

The cost of a piece of ribbon is directly proportional to the length of the ribbon.

A yard is therefore:

= 5.60/8

= $0.70

10 yards will cost:

= 0.70 * 10

= $7.00

Including sales tax:

= 7.00 * (1 + 6.35%)

= $7.44

Answer:

7/2

Step-by-step explanation:

2 hours= 120 mins

120 mins+20=140

140/40=7/2

Please give brainliest, thank me and rate it 5 if it helped. :)

Answer:

Step-by-step explanation:

perp. -1/3

y - 2 = -1/3(x + 9)

y - 2 = -1/3x - 3

y = -1/3x - 1

answer is C

Answer:

x (19) is your answer okkkkkk

Answer: Where is the problem?

Step-by-step explanation: There's no problem

Answer:

whats the question

Step-by-step explanation:

Answer:

I don't see a question to answer

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the square root of 64

√64 = 8

8 - 7 = 1

Answer: y = -4x + 7

Just did the quiz

Answer:

3, -5

Step-by-step explanation: took the test

Answer:

m = 9

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

[tex](\frac{1}{27}) ^{m}[/tex] × [tex](81)^{-1}[/tex] = 243 ← express all values to base 3

[tex](\frac{1}{3^3}) ^{m}[/tex] × [tex](3 ^4)^{-1}[/tex] = [tex]3^{5}[/tex]

[tex](3^-3)^{m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]

[tex]3^{-3m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]

[tex]3^{(-3m-4)}[/tex] = [tex]3^{5}[/tex]

Since bases on both sides are equal, both 3 , then equate exponents

- 3m - 4 = 5 ( add 4 to both sides )

- 3m = 9 ( divide both sides by - 3 )

m = - 3

Answer:

The answers are BELOW ⬇️

Step-by-step explanation:

P.S Thank ❤️ And Rate ⭐️ My Answer If It Has Helped You

The equation that represents the inequality in the graph is y < 2x + 2.

The solution of the system is (-1, -2).

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

To find the system of inequalities, first, we find the system of equations.

So, the first dotted line is passing through two points (-1, 0) and (0, 2),

then the equation of the line,

y - 0 = (2 - 0)/(0 + 1) (x + 1)

y = 2x + 2

From the diagram, the equation that represents the inequality in the graph is y < 2x + 2   ....(1)

Similarly, the equation of the second line is y ≤ 2x ...(2)

Now, the solution of the system is (-1, -2).

Therefore, the solution of the system is (-1, -2).

To learn more about the systems of inequalities;

https://brainly.com/question/19526736

#SPJ7

Answer:

i hope this helps

Step-by-step explanation:

Answer: x=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

I dont really know but somekne wil lask in the comments so you can find the answer.

Answer: P * ( 1 + 7%)

Step-by-step explanation:

You included no options but the expression should go something like this:

Pn = P * ( 1 + 7%)

Where Pn is the new price

P is the current price

The above formula will show the new price given the current price.

                                                  Question No 6

Given

Mass m = 70 kg

Acceleration a = 5 m/s²

To determine

Force F = ?

Using the formula

F = ma

substituting m = 70 kg and a = 5 m/s²

F = 70 × 5

F = 350 N

Therefore, the sprinter is exterting a 350 N force.

                                          Question No 7

Given

Mass m = 80 kg

Acceleration a = 10 m/s²

To determine

Force F = ?

Using the formula

F = ma

substituting m = 80 kg and a = 10 m/s²

F = 80 × 10

F = 800 N

Therefore, the sprinter is exterting a 800 N force.

Answer:

Given

Mass m = 70 kg

Acceleration a = 5 m/s²

To determine

Force F = ?

Using the formula

F = ma

substituting m = 70 kg and a = 5 m/s²

F = 70 × 5

F = 350 N

Therefore, the sprinter is exterting a 350 N force.

                                         Question No 7

Given

Mass m = 80 kg

Acceleration a = 10 m/s²

To determine

Force F = ?

Using the formula

F = ma

substituting m = 80 kg and a = 10 m/s²

F = 80 × 10

F = 800 N

Therefore, the sprinter is exterting a 800 N force.

Step-by-step explanation:

Answer:

a = 20

b = 30

Step-by-step explanation:

1) Solving for a

From the diagram above, KL + ML = An arc

Hence, we add them up

110° + 130° = 240°

1/2 of 240° = 120°

Solving for a°

180° = 120° + 3a (sum of opposite angles in a cyclic quadrilateral)

180° - 120° = 3a

60° = 3a

a = 60/3

a = 20

2) Solving for b

The sum of the exterior angles of a circle = 360°

Hence:

360° = KL + ML + JM + JK

KL = 110°

ML = 130°

JM = 54°

JK = ??

JK = 360 - (110° + 130° + 54°)

JK = 360 - 294

JK = 66°

Adding up JK + JL = 54° + 66°

= 120°

1/2 of 120° = 60°

Hence:

60° + 4b = 180°(sum of opposite angles in a cyclic quadrilateral)

4b = 180° - 60°

4b = 120°

b = 120/4

b = 30

Answer:

option d

Step-by-step explanation:

(-4ab)^3 = (-4ab)(-4ab)(-4ab) = -64a^3b^3 (option d)

I hope this helped, please give brainliest if this is correct! Thank you!

Answer:

60

Step-by-step explanation:

The total sum should be 180 degrees.

So 3x = 180. x = 60

Answer:

60 not shure tho hsbsvsbs

Answer:

i think ur answer is f in my mind

Answer:

x=1

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

used calculator

Answer:

6%

Step-by-step explanation:

This problem uses proportions

I would set this up as-

555          x

8695      100

Cross multiply-

100 x 555 = 55500

Divide-

55500/8695 = 6.38

Round to the nearest whole number

Answer:

ummmm 5 ..............

hope this help you out (•‿•)