The solution of the equation (x + 3)^2 = 7 is

Answer:

y = 2x - 3

Step-by-step explanation:

The negative recipricol is -1/(-1/2) = 2

Use point-slope equation:

y-y1 = m(x-x1)

x1 = 3, y1=3

y-3 = 2(x-3)

y-3 = 2x-6

y = 2x-3

Answer:

[tex](x-5)^{2} + (y+7)^{2} = 49[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  (x -5)^2 +(y +7)^2 = 49

Step-by-step explanation:

The equation of the circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

Putting (h, k) = (5, -7) and r = 7 into this form, your equation is ...

  (x -5)^2 +(y +7)^2 = 49

Answer:

Total population = 340000

Growing rate = 4%

Growing population = 340000×4/100

= 13600 per year

Now population increased in 20 years = 13600 × 20 = 272000 population.

Now ,

The population after 20 years = 340000+272000

=612000

So the population after 20 years = 612000

Answer:

The number is 52 or 25.

Step-by-step explanation:

The photo has the full solution

The number, when A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit, is 25.

In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit,

Write the equations of the statement as shown below,

Assume the one's digit is x and the ten's digit is y then,

x = 2.5y

(10y + x) - (10x + y) = 27

Solve the above equation and find the value of x and y,

10y + x - 10x - y  = 27

-9x + 9y = 27

-x + y = 3

-2.5y + y = 3   (Plug value of x)

-1.5y = 3

y =  2

x = 2.5 × 2

x = 5

Number = 2 × 10 + 5 = 25

Thus, the number is 25.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

There is 12 months in a year so you need to multiply 12 by 110 which is 1320

Your answer is: 1320 saved in one year

Hope this helped :)

Answer:

x = 12.99

Step-by-step explanation:

Tan(33) = [tex]\frac{x}{20}[/tex]

Tan(33) * 20 = x

12.99 = x

Hope this helps!

Answer:

3

Step-by-step explanation:

The base is the number below the exponent.

9514 1404 393

Answer:

  3/5

Step-by-step explanation:

The scale factor is the ratio ...

  (image measure)/(original measure)

The diagram shows that the original measure of 5 becomes a measure of 3 on the image. The scale factor is 3/5.

Answer:

x = 75°

Step-by-step explanation:

Angle x and the angle measure 105° are same-side exterior angles. Same-side exterior angles are supplementary. Supplementary angles are angles measures that add up to 180°. So 180° - 105° = 75°.   x = 75°

Answer:

75

Step-by-step explanation:

180° - 105° = 75°. x = 75°

Answer:

13 square inches

Step-by-step explanation:

Add both values for the area together to get your answer

small one is

1*1=1 square inch

large one is

4*3=12 square inches

Answer:

13

Step-by-step explanation:

area of the polygon = area of a rectangle +area of the square

area of the polygon = 3*4 +1*1 = 12+1 = 13 in²

Answer:

Step-by-step explanation:

Initial condition:

3 red

2 blue

5 green

2/10 times 5/9=2/9 times 5/10 or 1/2 = 2/9 times 1/2=1/9

hope this helps have a good day too.

Answer:

4.54

Step-by-step explanation:

Answer:

$995.04

Step-by-step explanation:

You pay $20.73 every month. $20.73 x 48 = $995.04

Answer:

i am going to assume that for interest you mean simple interest.

900*5%*4=180

180+900=1080.

if you mean compound interest...

900*(1+5%)^4=1094.0 (1.d.p)

Answer:

A) 3.5 m

Step-by-step explanation:

3.5 x 2 = 7/2 = 3.5

Answer:

x = 4, y = 8

Step-by-step explanation:

If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.

Thus;

2x - 5 = y - 5 (Eqn 1) and

y - 3 = x + 1 (Eqn 2)

Thus:

Rewrite equation 1

2x = y - 5 + 5

2x = y

Substitute y = 2x in equation 2.

y - 3 = x + 1 (Eqn 2)

2x - 3 = x + 1

Collect like terms

2x - x = 3 + 1

x = 4

Substitute x = 4 in equation 1

2x - 5 = y - 5 (eqn 1)

2(4) - 5 = y - 5

8 - 5 = y - 5

3 = y - 5

3 + 5 = y

8 = y

y = 8

9514 1404 393

Answer:

  m∠Y = 40°

Step-by-step explanation:

The sum of complementary angles is 90°. If we let s and y represent m∠S and m∠Y, respectively, the angle measures in degrees satisfy ...

  s + y = 90

  (4y -110) +y = 90 . . . . . . . . substitute for s

  5y = 200 . . . . . . . . . add 110

  y = 40 . . . . . . . divide by 5

The measure of angle Y is 40°.

Answer:

Step-by-step explanation:

x = 4

Substitute x and calculate:

Answer:

two people in an hour

Step-by-step explanation:

thats why I think that why no one is waiting

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3/3+2/3 = 5/3

Answer is 5

Answer:

B

D

E

[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]

Answer:

B and C

Step-by-step explanation:

Those 2 are the only ones that equal 5,-5

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The dot product is the sum of products of corresponding coefficients.

  u·v = (4)(-1) +(0)(2) = -4

  u·v = -4

Answer:

Step-by-step explanation:

The possibility is 48/200

The probability of people preferred the new soft drink is 6/25.

To find the probability.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

Total number of people taste test=200

Number of people who participated new soft drink=48

Number of people who participated old soft drink=112

Number of people who  participated could not tell any difference=40

So, the probability of people preferred the new soft drink=

favorable outcome/total number of outcome

probability of people preferred the new soft drink=48/200

probability of people preferred the new soft drink=6/25

So, the probability of people preferred the new soft drink is 6/25.

Learn more about probability here:

https://brainly.com/question/23471143

#SPJ2

Answer:

(B) The cost to rent a bike

Answer: the cost to rent a bike

Step-by-step explanation: