This is my last question can someone help me with my homework.

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:

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:

60

Step-by-step explanation:

The total sum should be 180 degrees.

So 3x = 180. x = 60

Answer:

60 not shure tho hsbsvsbs

Answer:

1

Step-by-step explanation:

the square root of 64

√64 = 8

8 - 7 = 1

Answer:

5 and 5

Step-by-step explanation:

The absolute value of a number is the number but positive.

/-5/ = 5 and /5/ = 5

Hope this helps!

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

                                                  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:

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: $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:

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: 1.5 pounds

Step-by-step explanation:

You have 250 feet so if 0.6 is for 100 feet you would need 0.6+0.6 for the 200 feet. Then you need to split the 0.6 in half to make it 0.3 so, in conclusion, add 0.6+0.6+0.3 wich equals 1.5 HOPE THIS HELPS!!!

Answer:

B

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.

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: Where is the problem?

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

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:

12 pieces of candy for $1.49

Answer:

i hope this helps

Step-by-step explanation:

Answer: x=1

Step-by-step explanation:

Answer:

The answer to your question is $4.48

Answer:

3, -5

Step-by-step explanation: took the test

Answer:

The constant is 3 because it has no any variable term e.g "x"

Answer:

x=1

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

used calculator

Answer:

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

Answer:

x=11

Step-by-step explanation:

trust i guess

Answer:

Step-by-step explanation:

The terms have the same base... (5)

So...

You can just take away the 5s and get:

X = 3 . 8

X = 24

It is simple.

Answer:

[tex]90[/tex]

Step-by-step explanation:

Let the unknown number be x

[tex]x \times \frac{70}{100} = 63 \\ x = \frac{63 \times 100}{70} \\ x = 90[/tex]

Hope this helps

Can I have the brainliest please?

~Hi1315~

Answer:

90

Step-by-step explanation:

If 70% of a number is 63, we can call that number x and make the following equation:

0.7x = 63

Now we just need to solve for x:

x = 63/0.7

x = 90

So the original number is 90.

How do we know we’re right? If you do 70% of 90 (aka 0.7*90), you’ll get 63, so we know it’s correct.

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:

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:

Step-by-step explanation:

84=4v

4v=84

v=84/4

v=21