All categories

3 years ago

Which statement is true?

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

The correct statement is D.

Step-by-step explanation:

Given,

For backyard

Length = 5x-2

Width = 2x+4

For house

Length = 5x-2

Width = 4x-12

For driveway

Length = x+10

Width = 4x-12

To find the correct statement.

Formula

The area of a rectangle = Length × Width

So,

The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)

= (4x-12)(5x-2+x+10)

= (4x-12)(6x+8)

= $24x^{2} +32x-72x-96$

= $24x^{2} -40x-96$

So, the correct statement is D

You can cross check the other statements.

You might be interested in

Show your work on the question

AysviL [449]

Answer:

OPTION A: 3x - 1 = ± 5

Step-by-step explanation:

We have (3x - 1)² = 25

In OPTION A, Square root is taken on both sides.

This gives us: 3x - 1 = ± 5. And this is the logical follow - up of the previous step.

IN OPTION B: (a - b)² is wrongly expanded. So, this can not be the next step.

In OPTION C: The square root is taken only on the LHS but not on the RHS. So, it is eliminated.

In OPTION D: The square is expanded on LHS whereas on the RHS square root is taken. So, it is not correct and is eliminated.

Therefore, the correct option is A.

6 0

2 years ago

You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper

mrs_skeptik [129]

Each question has four choices, then the probability to guess a correct answer is $p= \frac{1}{4}$ and the probability to select incorrect choice is $q=1-p=1- \frac{1}{4} = \frac{3}{4}$ .

You have a 5-question multiple-choice test, then n=5. The <span>probability that you will guess exactly three out of five questions correctly is </span>
<span /><span>
</span><span> $C_n^kp^nq^{n-k}=C_5^3p^3q^{5-3}= \dfrac{5!}{3!\cdot 2!} \left( \dfrac{1}{4} \right)^3\left( \dfrac{3}{4} \right)^2=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 1\cdot 2} \cdot \dfrac{9}{1024} =$ </span>
$= \dfrac{90}{1024} = \dfrac{45}{512}$ .
<span />

6 0

3 years ago

Read 2 more answers

HELPPP!!!!! Plzzzz!!

Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,