ruto is 12 years old.in three years time he will be ⅓ of his father present age.how old was his father 12 years ago​

Answer:

A.) w² + 3w in²

B.) 28 in²

Step-by-step explanation:

A.)

Let w = width and l = length.

    The area of a rectangle can be written as length · width (base · height). The problem informs us that the length of the rectangle is 3 inches greater than the width. Therefore, l can also be written as w + 3. We can use this to form a polynomial that represents the area of the rectangle.

A(rectangle) = lw = (w + 3) · w = w² + 3w

B.)

Use the polynomial we previously found to find the area.

A(rectangle) = (4)² + 3(4) = 16 + 12 = 28 in²

Model:

Answer:

B

Step-by-step explanation:

Answer:

x ≥ -1

Step-by-step explanation:

The domain is all the possible x-values of the function.

Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.

So x is greater than or equal to -1.

x ≥ -1

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina ba de for

Step-by-step explanation:

The function is an illustration of a linear graph

The graph of the function has a slope of 3, and a y-intercept of -9

The equation is given as:

[tex]y - 3 = 3(x - 4)[/tex]

Open the bracket

[tex]y - 3 = 3x - 12[/tex]

Add 3 to both sides of the equation

[tex]y = 3x - 12+3[/tex]

Evaluate the like terms

[tex]y = 3x -9[/tex]

The above means that:

The graph of the function has a slope of 3, and a y-intercept of -9

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

Area= 94.9375

Step-by-step explanation:

Answer:

Angle + the Complementary angle = 90 degrees. Let x be the measure of the angle under the question. Then the measure of the Complementary angle is (x+46) degrees, and you have this equation x + (x+46) = 90, or 2x+ 46 = 90, or 2x = 90 - 46 = 44. Then x =  = 22. The given angle has the measure of 22 degrees. The complementary angle is 90-22 = 68 degrees. Check. 68 - 22 = 44 degrees. Correct !!

Answer:

C. 164

Step-by-step explanation:

its self explanitory

Answer:

y = 14/3 and 2

x = -13/3 and 1

(-13/3, 14/3) and (1, 2)

Step-by-step explanation:

[tex]x + 2y = 5 - - - (a) \\ {x}^{2} - {y}^{2} = - 3 - - - (b)[/tex]

for equation (a)

make x the subject of the formular:

[tex]x = 5 - 2y - - - (c)[/tex]

for equation (b)

[tex] {x}^{2} - {y}^{2} = - 3[/tex]

substitute for x as 5 - 2y in equation (b):

[tex] {(5 - 2y)}^{2} - {y}^{2} = - 3 \\ (25 - 20y + 4 {y}^{2} ) - {y}^{2} = - 3 \\ 25 - 20y + 3 {y}^{2} = - 3 \\ {3y}^{2} - 20y + 28 = 0 \\ (3y - 14)(y - 2) = 0[/tex]

therefore,

[tex]y = \frac{14}{3} \: \: and \: \: 2[/tex]

substitute for all values of y in equation (c):

for y = 14/3:

[tex]x = 5 - 2( \frac{14}{3} ) \\ \\ x = 5 - \frac{28}{3} \\ \\ x = - \frac{13}{3} [/tex]

for y = 2:

[tex]x = 5 - 2(2) \\ x = 5 - 4 \\ x = 1[/tex]

Answer:

(1, 2)

(-13/3, 14/3).

Step-by-step explanation:

x + 2y = 5

x² - y² = -3​

From the first equation x = 5 - 2y

Substitute for y in the second equation:

(5 - 2y)^2 - y^2 = -3

25 + 4y^2 - 20y - y^2 = -3

3y^2 - 20y + 28 = 0

Factoring:-

(3y - 14(y  -  2)   = 0

y = 2, 14/3.

So when y = 2, x = 5 - 2(2) = 1.

When y = 14/3, x = 5 - 2(14/3) = -13/3.

Checking the results in the second equation:

(1, 2):-

1^2 - 2^2 = -3    Correct.

(-13/3, 14/3):-

(-13/3)^2 - (14/3)^2 = -3   Correct.

Answer:

You are correct! But note the syntax:

the computer wants you to type in the box

2/3 x - 2

because "y =" is already written!

Step-by-step explanation:

Answer:

x =1.28

Step-by-step explanation:

4w=5.12

Divide each side by 4

4w/4 = 5.12/4

x =1.28

Answer:

(13, 5 )

Step-by-step explanation:

The translation

(x, y ) → (x + 3, y - 4)

Means add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

(10, 9 ) → (10 + 3, 9 - 4 ) → (13, 5 )

Answer:

(5,3)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

This question asks for us to substitute values of variables into the following equation: -2xy

We know two pieces of information:

All we have to do is substitute the values for variables.

-2xy

-2(-4)(1)

= 8(1)

=8

Answer:

-350ft

Step-by-step explanation:

so basically 605 is negative and 255 is a negative then you add those two then it would be -860 then you subtract the positive 475 and that will equal -350

Answer:

|x| + 1

Adding/subtracting on the outside moves it up/down.

Adding/subtracting on the inside (such as (x - 2) moves it right 2) moves it left/right.

Answer:

m = (3/4) n

Step-by-step explanation:

4m + 2n = 5n

The subtraction property of equality states that we can subtract 2n from both sides to isolate the m and its coefficient to get

4m = 3n

The division property of equality states that we can divide 4 from both sides to isolate only the m (we divide by 4 because anything divided by itself equals 1) to get

m = (3/4) n

Answer:

1,-1

Step-by-step explanation:

midpoint is (-3)+5÷2 ; (-3)+1÷2

=1;-1

Step-by-step explanation:

-11+x(-7)

when x= 4, then

-11+x(-7)

-11+4(-7)

-11+(-28)

-11-28

-39

Answer:

the all adult tickets made out 2440$

the all children tickets made out 1548

Answer:

x=5

Step-by-step explanation:

(x-2)/(x+1)=1/2, we use that a/b = c/d is the same as a*d = c*b

2*(x-2) = 1* (x+1), distribute multiplication over subtraction

2x -4 = x +1 , subtract x and add 4 to both sides

2x -x = 1 +4, combine like terms

x = 5

Answer: x = 5

Solve:

Given

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

Cross multiply applied

1 (x + 1) = 2 (x - 2)

Expand parentheses and apply the distributive property

x + 1 = 2x - 4

Add 4 on both sides

x + 1 + 4 = 2x - 4 + 4

x + 5 = 2x

Subtract x on both sides

x + 5 - x = 2x - x

x = 5

Check:

Left-hand side = (x - 2) / (x + 1) = (5 - 2) / (5 + 1) = 3/6 = 1/2

Right-hand side = 1/2

1/2 = 1/2

Hope this helps!! :)

Please let me know if you have any questions

here is answer, hope u understand:)

Answer:

27

Step-by-step explanation:

36 divided by 4 equals 9 which is what the sea turtle can swim in 1 second. Multiply 9 by 3 and you'll get 27.

Answer:

Step-by-step explanation:

Step-by-step explanation:

y+x-2-6x = y-5x-2

2x+3-x-4 = x-1

5xy+4x-5xy-3 = x

Answer:

M.  2.5n - (-8.2) = 26. 7

to find n transpose

2.5n + 8.2 = 26. 7

2.5n = 26. 7 - 8.2

2.5n = 18.5

n = 18.5 ÷ 2.5

n = 7.4

L.  [tex]\frac{7a + 1}{2}[/tex] = 18

7a + 1 = 18 ×2

7a + 1 = 36

7a = 36 - 1

7a = 35

a = 35 ÷ 7

a = 5

N.     [tex]\frac{2}{5}[/tex] b + 1 = -11

[tex]\frac{2}{5}[/tex] b   = -11 -1

[tex]\frac{2}{5}[/tex] b   = -12

b = -12 - [tex]\frac{5}{2}[/tex]

b = 20

H.   5 - [tex]\frac{9}{2}[/tex] d = 32

- [tex]\frac{9}{2}[/tex] d = 32 - 5

- [tex]\frac{9}{2}[/tex] d = 27

d =  27 + [tex]\frac{2}{9}[/tex]

d = 6

Answer:

B

Step-by-step explanation:

Answer:

John: 8 Hong: 5 Keith: 7

Step-by-step explanation:

Divided each larger number by three smaller one, and that is how much time each flyer spent.

Answer:

C=pi(d)

C=94.25

Step-by-step explanation:

Answer:

94.2 Yd

Step-by-step explanation:

r=d/2

=30/2

=15

C=2πr

solve, 2×3.14×15

30×3.14

94.2 yd