All categories

3 years ago

The square of twice 45

1 answer:

8 0

M2. A (Estimated Difficulty Level: 3)
Try plugging in some real numbers until you get one of the answers. For example, if you choose 4, then calcu- late 2×4+42 +1 = 25. The answers don’t list 25, so choose another integer to start with. If you choose 5, you’ll get 2 × 5 + 52 + 1 = 36, so the answer is A.
If you are an algebra fiend, you may notice that if the integer is x, then the calculation is 2x+x2+1 = (x+1)2, so the final sum must be the square of an integer. Only answer A is a perfect square.

You might be interested in

Alonzo wrote the equation x = 2+4y-5. Which equation is equivalent?

Rainbow [258]

Consider the equation $x = 2+4y-5$ , it can be expressed as $x = 4y-3$ .

Now, we have to write the equivalent equation.

Since, Equivalent equations are those equations which have exactly same solution. We can say that the two equations are equivalent if solution of one equation is the solution of other equation.

So, consider the equation $x = 4y -3$

Equivalent equation can be obtained by multiplying the given equation by any number say '2'.

Multiplying both sides of the given equation by '2'.

$x = 4y-3$

$2 \times x = 2 \times (4y-3)$

$2x = (2 \times 4y)-( 2 \times 3)$

$2x = 8y-6$ is the required equivalent equation.

6 0

3 years ago

- 2x – 117 = = 10x + 59

Alexxx [7]

Answer:

$\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}$

Step-by-step explanation:

$-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}$

4 0

3 years ago

Given e (-2,3) f(-2,-2) g(3,-2) h(3,3) prove efgh is a rhombus

lyudmila [28]

the answer to this question (-2,3)

8 0

3 years ago

If you multiply four negative numbers, what is the sign of the product?

mestny [16]

Answer:

positive

Step-by-step explanation:

(-a) (-a) (-a) (-a) = a

(-a)(-a) = a

a (-a) = -a

-a (-a) = a --> positive sign

7 0

2 years ago

Read 2 more answers

Javier estimates the square root of 18 in the following way: √18=2√9=2*3=6 Explain why her reasoning is incorrect. Without using

Hunter-Best [27]

Answer:

Javier estimates the square root of 18 in the following way: √18=2√9=2*3=6 Explain why her reasoning is incorrect. Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.

6 0

3 years ago

Read 2 more answers