Find all solutions to the following system of equations. (x-2)^2+(y+3)^2=4 and x-y=3

Answer:3.86 m

Step-by-step explanation:

Given

Length of ladder L=4 m

angle made by ladder and the ground is [tex]\theta=75^{\circ}[/tex]

we will use trigonometry here

from the figure, we can write

[tex]\sin 75^{\circ}=\dfrac{x}{L}\quad [\text{where, x=distance of the ladder from the ground}][/tex]

[tex]\Rightarrow x=L\sin 75^{\circ}\\\Rightarrow x=4\sin 75^{\circ}=3.86\ m[/tex]

Answer:

8 more boys

Step-by-step explanation:

5 + 3 = 8

32 ÷ 8 = 4

5 × 4 = 20

3 × 4 = 12

20 - 12 = 8

Answer:

x=13/4

Step-by-step explanation:

4x+5=18....collect like terms

4x=18-5

4x=13

x=13/4 or 3.25

Answer:  The number is 14   ,  look into the steps for more explanations.

Step-by-step explanation:

Twice the sum of a number and seven  is three times the number .  

in this case we will represent that number  by the variable x.

The sum of x and 7  is      x+7  

Twice that will be     2(x +7)  

That has to equation  three times the number which will make it

2(x+7) = 3x    Now solve for x to find the number  by distributing

2x + 14 = 3x           Subtract 2x from both sides

 2x          -2x

 14 = 1x              Divide both sides by 1

x = 14

Answer:

1/18

Step-by-step explanation:

-1/2 + 5/9 =

-9/18 + 10/18 = 1/18

Answer:

1/18

Step-by-step explanation:

Answer: -23

Step-by-step explanation:

Step-by-step explanation:

The equation of a line is 6x-2y=12. find the x-intercept and the y-intercept. a. x = -2 , y= 6 b. x = 2 , y= -6 c. x = -2 , y= -6 a. x = 2 , y= 6 which shows the line 3x -2y = -18 in slope-intercept form? y=3/2x+9 y=2/3x+9 y=-3/2x-9 y=2/3x-9 a line passes through the point (-1,3) and has a slope of -2. what is the equation of the line in slope-intercept form? y=2x+5 y=-2x+5 y=2x+1 y=-2x+1 a line passes through the points (1,7) and (-4,-3). what is the equation of the line in standard form? 4x-2y=10 4x+2y=10 4x-2y=-10 4x+2y=-10 which points are a solution to the inequality < −3+4? (choose all that apply) (select all that apply.) (0,4) (-2,7) (3,-4) (-1,-5)

Answer:

The pair of expressions in the options 'b' and 'c' is equivalent using the Associative Property of Multiplication.

Hence, options b and c are correct.

Step-by-step explanation:

The associative property of multiplication defines that when we multiply, we can group the numbers in any combination.

a × (b × c) = (a × b) × c

For example,

4 × (6 × 8) = (4 × 6) × 8

In our case, now, if we analyze the options 'b' and 'c'

5 (3a · 4) = (3a · 4) · 5

5 (3a · 4) = (5 · 3a) · 4

It is clear that both the expressions are equivalent using the Associative Property of Multiplication as we have discussed earlier.

Thus, the pair of expressions in the options 'b' and 'c' is equivalent using the Associative Property of Multiplication.

Hence, options b and c are correct.

Answer:

2x X 4 - 3 = 2 x

Step-by-step explanation:

2x

Answer:

No

Step-by-step explanation:

$3.98 + $2.75 + $ 3.87 ≠ $10

$3.98 + $2.75 + $ 3.87 = $10.60

Answer: The slope is 0

Step-by-step explanation:

Answer:

The like terms would be 3x and -3x.

Step-by-step explanation:

If you add the like terms together you would get 0x and be left with -2y.

Answer:

I can't see the photo you linked its black and blank.

Step-by-step explanation:

Answer: where the pic at

Step-by-step explanation:

Answer:

39.99+79.99m

Step-by-step explanation:

She has to pay 39.99 and 79.99 times (m) months

Answer:

6000+300+70+4

Step-by-step explanation:

6000 plus 300 =  6300

70 plus 4= 74

6300+74=6374

Answer:

6,000

+  300

+     70

+       4

-------------

6, 3 7 4

Step-by-step explanation:

Answer:

John would have made the most per hour at 12$ per hour (no taxes included)

Step-by-step explanation:

115/10=11.5$ per hour

108/9=12$ per hour

92/8=11.5$ per hour

77/7=11$ per hour

so john making 108$ for 9 hours he has the highest hourly wage.

Answer:

Step-by-step explanation:

Find the discounted price by setting up an equation

40-.3(40) AKA 30% of the original price is being taken off of the original price

Evaluate

40-12

$28 = discounted price

Sales tax is based on the reduced/discounted price* remember this

OF= multiplication (in this scenario)

.08x28

$2.24= sales tax

Add tax with discounted price

28+2.24=

Answer:

7(3b + 4c)

Step-by-step explanation:

21b + 28c

First, find the common factor of the coefficients (21 and 28).

GCF is 7.

Next, divide out 7 from the equation.

(21b + 28c)/7 = 3b + 4c

Now put the 7 outside of the parenthesis.

7(3b + 4c)

Hope this helped! <3

Answer:

We conclude that it is possible for an object to have more than one input value, but only one output value.

Step-by-step explanation:

Yes, it is possible for an object to have more than one input value, but only one output value.

For example, considering the table having 'name' as the 'input' and the output as 'age'.

Name of Relatives                Age (years)

Mr A                                       13

Mr B                                       14

Mr C                                       13

Mr D                                       15

Here, Each input has only input. But, multiple relatives can have the same age.

Here, Mr A and Mr C have the same 13 years age. This table represents a function.

Therefore, we conclude that it is possible for an object to have more than one input value, but only one output value.

Answer:

She will be ready, and she will make it on time.

Step-by-step explanation:

Given:

[tex]Start\ Time = 10:20\ am[/tex]

[tex]Planting = 5\ hours[/tex]

[tex]Shower = 1\ hour[/tex]

Required

Will she be ready by 5pm?

First, we calculate the time spent in planting and taking shower.

[tex]Time\ Spent = Planting + Shower[/tex]

[tex]Time\ Spent = 5\ hours + 1\ hour[/tex]

[tex]Time\ Spent = 6\ hours[/tex]

Next, we calculate the end time. i.e. the time she'll finish these tasks.

[tex]End\ Time=Start\ Time + Time\ Spent[/tex]

[tex]End\ Time=10:20\ am + 6\ hours[/tex]

[tex]End\ Time=04:20\ pm[/tex]

Since 04:20 pm is less than 5pm, then she will be ready, and she will make it on time.

Answer:

7,12.2

Step-by-step explanation:

100+49=149

√149≈12.2

x^2+49=100

x^2=51

=7

Answer:

10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 10 ← is in slope- intercept form

with y- intercept c = 10

Answer:

12y-10y=2z-2D

2y=2z-3D

Divide both sides by 2

Y=z-3D

Absolutely

answer

15.5%

Step-by-step explanation:

length = 30

30+10%=33

breadth=20

20+5%=21

area of rectangle = length × breadth

600² centimeters = 30 × 20

693² centimeters = 33 × 21

Increase = 15.5%

Answer:

The answer is $44.80

Step-by-step explanation: First, you need to find the how much 40% of $32 is:

32 x .40 = 12.80

Then, you add 12.80 to $32.

$32 + $12.80 = $44.80

Answer: 44.8$

Step-by-step explanation:

What you have to do is find 40% of 32. (it is 12.8) add 12.8 to 32. You get 44.8

Answer:

I'm pretty sure it's C

Step-by-step explanation:

Well if you type 48% of 60 into a calculator it will give you 28.8

Since it says to estimate it, It will be C. because 30 is the closest estimate to 28.8

Answer: 5x + (x + 54) = 6x + 54

So now 6x + 54 = 90 because u are solving a right angle.

90 - 54 is 36. So 6x = 36 and 36 divided by 6 is 6. Your answer for X = 6 Hope this helps you please mark brainliest

Step-by-step explanation: