Solve the following system for all solutions:

(x - 1)^2 + (y + 3)^2 = 13

x + y = -3​

Answer:

I think the answer is 7.20.....

Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20

Answer:

D is the correct

Step-by-step explanation:

The pairs of triangles that can be proven to be congruent by the AAS Congruence Theorem is: D. image 4.

The AAS congruence theorem states hat two triangles can be proven to be congruent triangles if two angles and a non-included side of one triangle are congruent to corresponding two angles and a non-included side of the other triangle.

In image 4, ΔABC and ΔWXY has the following:

Therefore, the pairs of triangles that can be proven to be congruent by the AAS Congruence Theorem is: D. image 4.

Learn more about AAS on:

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Answer:

Step-by-step explanation:

Answer:

brainliest?

Step-by-step explanation:

Answer:

Three different ways to write the ratio"5 to 7    5:7      5/7"   Three equivalent rations" 10:14     15 :21       20:28

Step-by-step explanation:

3.468*10^6

Step-by-step explanation:

Answer:

12=-3(-7.5)-10.5

Step-by-step explanation:

first find the slope

m=y2-y1/x2-x1

0-12=(-12)

-3.5-(-7.5)=4

-12/4=(-3)

now write the equation

y=mx+b

12=-3(-7.5)+b

now solve

-3*-7.5=22.5

22.5-22.5=0

12-22.5=(-10.5)

b=-10.5

hope this helps :3

if it did pls mark brainliest

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

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

Using the tangent ratio in the right triangle

tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m

Answer: its 2/6 is the answer the choices don't make cense

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

So you have the equation:

(3x - 5) ^(x) - 19

and the value x = 3,

so just substitute in and simplify:

(3*3 - 5) ^ (3) - 19

(9 - 5)^(3) - 19

(4)^(3) - 19

64 - 19

45

Answer:

39

Step-by-step explanation:

5x+9

5(6)+9

30+9

39

Answer:

39

Step-by-step explanation:

first 5 times 6 since x=6. that equals 30. 30 plus 9 is 39.

hope this helps :)

Answer:

-2a

Step-by-step explanation:

add -5a with 3a

- - - - -

+++

^see, two negatives are left

Answer:

y = 1

Step-by-step explanation:

Hi there !

6y + 12 = 18

6y = 18 - 12

6y = 6

y = 6 : 6

y = 1

Good luck !

Answer:

Angle QPR = 64.5 degrees

Step-by-step explanation:

Answer:

STEP

1

:

Equation at the end of step 1

 ((3 • (x3)) -  32x2) -  12x  = 0

STEP

2

:

Equation at the end of step

2

:

 (3x3 -  32x2) -  12x  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x3 - 9x2 - 12x  =   3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2     Factoring  x2 - 3x - 4

The first term is,  x2  its coefficient is  1 .

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  -4

Step-1 : Multiply the coefficient of the first term by the constant   1 • -4 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -3 .

     -4    +    1    =    -3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  1

                    x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-4)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-4)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-4)

            Which is the desired factorization

Equation at the end of step

4

:

 3x • (x + 1) • (x - 4)  = 0

STEP

5

:

Theory - Roots of a product

5.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Step-by-step explanation:

I hope this helps

Answer:

You can find out x and y  by solving these equations simultaneously.

First case:

according to the opposite angle theorem, (18y+5)° = (10x-61)°

Now let's simplify them;

18y-10x = -66

y= (10x-66) ÷ 18......................(i)

Second case:

Around that centre, it is always 360°.

And the angle opposite to the (x+10)v is also (x+10)°.

And sum of these 4 angles is 360°.

(18y+5)° + ( 10x-61)° + (x +10)° + (x +10)°= 360°

18y + 12x -36 = 360°

18y + 12x = 396...........................(ii)

Now replace the value of y from (i) into (ii):

18 ((10x-66) ÷ 18) +12x =396

(10x-66) +12x = 396

22x -66 = 396

22x = 462

x = 21

Now let's put this value of x into our equation (i):

y= (10(21)-66) ÷ 18

y= 8

Cheers :)

Answer:

(0,-3)

Step-by-step explanation:

Apex

Answer:

The answer is

[tex] \huge y - 5 = 23(x + 4) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the points are (-4, 5) and a slope of 23

We have the final answer as

[tex]y - 5= 23(x + 4)[/tex]

Hope this helps you

Answer:

hi how r u

Step-by-step explanation:

Answer:

1/10 or 2/20

Step-by-step explanation:

Answer: Find the exact value using trigonometric identities.

Exact Form: 1/10, 3/20000 Decimal Form: 0.1, 0.00015

$1.20

explanation:

h + 2d = 6

2h + 2d = 9.60

-2h - 4d = -12

2h + 2d = 9.60

- 2d = - 2.4

d = $1.20

The cost of 1 drink is required.

The cost of 1 drink is $1.20.

Let cost of 1 hamburger be [tex]x[/tex]

cost of 1 drink be [tex]y[/tex]

The equations will be

[tex]x+2y=6[/tex]      [tex]\times2[/tex]

[tex]2x+2y=9.6[/tex]

[tex]2x+4y=12[/tex]

[tex]2x+2y=9.6[/tex]

Subtracting the equations

[tex]2y=2.4\\\Rightarrow y=\dfrac{2.4}{2}\\\Rightarrow y=1.2[/tex]

The cost of 1 drink is $1.20.

Learn more:

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https://brainly.com/question/8529870

Answer:

32

Step-by-step explanation:

2 to the 6th power is also 2 x 2 x 2 x 2 x 2 x 2 which equals 64 so then you multiply it by .5 (half) to get 32 :)

Answer:

32

Step-by-step explanation:

2^6= 64

64/2= 32

Answer: 1/2

Step-by-step explanation: got it right

The slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (8, 7) and (4, 5).

Substitute (x₁, y₁)= (8, 7) and (x₂, y₂)= (4, 5) in slope formula, we get

Slope = (5-7)/(4-8

= -2/(-4)

= 1/2

Therefore, the slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

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Answer:

x+y = 8

x3 + y3 = 20 ...this system represents the given statements.

Use the factoring rule for sum of cubes:

(x+y)(x2+xy+y2) = 20. By substituting for the linear factor, you get

8(x2+xy+y2) = 20   or   2(x2+xy+y2) = 5.

Now substitute for y; y = 8-x and you will have a (maybe not so nice) quadratic equation in x, which you can solve by Quadratic Formula (if factoring isn't obvious).

you get to finish this job.

Step-by-step explanation:

Brainleist would be appreciative

Answer:

$7.5 = 3 pounds

Step-by-step explanation:

1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.

2. That means that 1 pound of cherries cost $2.5.

3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.

4. Now that gets you to $7.5 for 3 pounds of cherries.s

The answeris : y=35x+75

Answer:

76 77 77 77 77 77 77

second row

Step-by-step explanation:

Answer:

5256 next time use calculator

Step-by-step explanation:

Answer:

1.22

Step-by-step explanation:

9.76/8

Answer:

Perimeter is 30

Step-by-step explanation:

The formula is

P=2(l+w)

Answer:

P is 30cm

Step-by-step explanation:

Let's transform it into an expression:

P = 2w + l2

P = (5×2) + (10×2)

P = 10 + 20 = 30 cm