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2 years ago

Where do 2x - y = 4 and 4x + y = 9 intersect?

Mathematics

1 answer:

Misha Larkins [42]2 years ago

5 0

Answer: They intersect at $(2\frac{1}{6}, \frac{1}{3} )$

Step-by-step explanation:

We can solve this system of equations through elimination

Add (4x+y=9) with (2x-y=4)

$4x+y=9\\+2x-y=4\\=\\6x+0=13$

Now that y is canceled out we can solve for x

$6x=13\\\frac{6x}{6}=\frac{13}{6} \\x=2\frac{1}{6}$

Now sub back x into one of the original equations to find the value of y

$4(2\frac{1}{6} )+y=9\\8\frac{2}{3} +y=9\\8\frac{2}{3}-8\frac{2}{3}+y=9-8\frac{2}{3}\\y=\frac{1}{3}$

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Is 6x³- 4x+1 a binomial or trinomial?

andreev551 [17]

Answer:

( a ) Trinomial, the degree of the polynomial = 3

( b ) Polynomial, the degree of the polynomial = 4

( c ) Binomial, the degree of the polynomial = 2

( d ) Monomial, the degree of the polynomial = 1

Step-by-step explanation:

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2 years ago

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When using the Distance Formula, the solution is the perimeter of a polygon.<br> true or false?

natali 33 [55]

Answer:

false

Step-by-step explanation:

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3 years ago

Drag a reason to each box to complete the proof.<br> Please help <br> will give you brainliest

Helga [31]

Answer:

The required proof is shown below.

Step-by-step explanation:

Consider the provided figure.

It is given that KM=LN

We need to prove KL=MN

Now consider the provided statement.

KM = LN Given

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The required proof is shown above.

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3 years ago

what are the solutions of the equation x4 95x2 – 500 = 0? use factoring to solve. and x = ±10 and x = ±10i and x = ±10i and x =

Andreas93 [3]

Doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

<h3>What is Factorization?</h3>

In mathematics, factorization or factoring consists of writing a number or any mathematical item as a product of several factors, typically small or easier objects of the same.

For example, 3 × 5 is a factorization of an integer 15 and is a factorization of an equation x² – 4.

So, we have the equation:

x⁴ + 95x² – 500 = 0

Factorizing the above equation:

x⁴ + 100x² - 5x² - 500 = 0

x²(x² + 100) - 5(x² + 100) = 0

(x² - 5)(x² + 100) = 0

Solving further:

x² = 5

x² = -100

x = ±√5

x = √-100

Factors: ±√5 and ±10i

Therefore, doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

Know more about Factorization here:

brainly.com/question/25829061

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Complete question:
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

x=+- sqrt 5 and x = ±10

x=+- sqrt i5 and x = ±10i

x=+- sqrt 5 and x = ±10i

x=+- sqrt i5 and x = ±10

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1 year ago

Asked what the central limit theorem says, a student replies, As you take larger and larger samples from a population, the histo

Arada [10]

Answer:

A. No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.

Step-by-step explanation:

No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. The central limit theorem says that if we take a large sample (i.e., a sample of size n > 30) of any distribution with finite mean $\mu$ and standard deviation $\sigma$ , then, the sample average is approximately normally distributed with mean $\mu$ and variance $\sigma^2/n$ .

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3 years ago