PLEASE HELP WILL GIVE 15 POINTS!!!!

The Length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3 cm, the area of new rectang

gizmo_the_mogwai [7]

Answer:

Breadth = 8 cm

Length = 17 cm

Step-by-step explanation:

Given rectangle:

Breadth = x cm

Length = x + 9 cm

Area = length * breadth

= x * (x + 9)

= x² + 9x

Rectangle with length and breadth increased:

Breadth = x + 3 cm

Length = x + 9 + 3 = x + 12 cm

Area = 84 + (x² + 9x) cm²

(x +3) * (x +12) = 84 + x² + 9x

Use FOIL method

x*x + x*12 + 3*x + 3*12 = 84 + x² + 9x

x² + 12x + 3x + 36 = 84 + x² + 9x {add the like terms}

x² + 15x + 36 = 84 + x² + 9x

x² + 15x + 36 - 84 - x² - 9x = 0

6x - 48 = 0

6x = 48

x = 48/6

x = 8

Breadth = x = 8 cm

Length = x + 9 = 8 +9 = 17 cm

7 0

3 years ago

Hours (x) 0 1 2 3 4 5

MatroZZZ [7]

The answer is D) 3,404

By putting the table values into the progam DESMOS, and then putting in the formula, the answer will be given- and that answer is 3,404.

5 0

3 years ago

Read 2 more answers

Complete the synthetic division problem below.

Angelina_Jolie [31]

Answer:

C. x+5

Step-by-step explanation:

Quotient is the result obtained by dividing one number by the other. Polynomial is the equation which consists of variables and coefficients. It involves addition, subtraction, multiplication and integers. The given synthetic equation is 2/1 5 - 14. In the given equation the quotient polynomial form is x + 5.

5 0

3 years ago

Read 2 more answers

Solve the equation 3p (3p - 8) - 8 = 9p ( p - 3 + 4

pentagon [3]

Answer:

$p= \frac{-8}{33}$

Explanation:

Given:

$3p (3p - 8) - 8 = 9p ( p - 3 + 4)$

To Find:

Value of p=?

Solution:

Before solving this equation, we will use the method of BODMAS which states that we first solve the Bracket then Off then Division then Multiplier then addition and at last subtraction.

Now we will solve the both right and left hand side of the equation

$3p (3p - 8) - 8 = 9p ( p - 3 + 4)$

$9p^2-24p-8=9p^2+9p$

Gruoping the like terms we get,

$9p^2-9p^2-24p-9p=8$

After solving the both right hand and left hand side of the equation

$-33p=8$

And we get the value of p as

$p= \frac{-8}{33}$

4 0

3 years ago

Read 2 more answers

By 3:00 pm, the temperature had increased by another 5%F. Was the temperature at 3:00 pm positive or negative?How do you know?Wh

victus00 [196]

Answer:

Part a) The temperature at noon was -3°F

Part b) The temperature at 3:00 pm was +2°F

Part c) The temperature at 11:00 pm was -6°F

Step-by-step explanation:

The complete question is

When Leo woke up he saw that the temperature was -8°F. By noon the temperature has increased 5°F. Part a) What was the temperature at noon?

Part b) By 3:00 pm, the temperature increased by another 5 degrees Fahrenheit was the temperature at 3:00 pm positive or negative?

Part c) By 11:00 pm, the temperature had dropped 8°F. Was the

temperature at 11:00 PM positive or negative? Explain.

Part a) we know that

You can use a number line to adds the numbers

-8+5=-3°F

therefore

The temperature at noon was -3°F

Part b) we know that

the temperature increased by another 5 degrees

You can use a number line to adds the numbers

-3+5=+2°F

therefore

The temperature at 3:00 pm was +2°F

Part c) we know that

the temperature had dropped 8°F

You can use a number line to adds the numbers

2-8=-6°F

therefore

The temperature at 11:00 pm was -6°F

4 0

3 years ago