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3 years ago

Find the equation of a line with the given points.(put your answers in the form y=mx+b)(6,2)(5,5)

Mathematics

2 answers:

Nesterboy [21]3 years ago

6 0

The slope-intercept form: y= mx + b

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (6, 2) and (5, 5). Substitute:

$m=\dfrac{5-2}{5-6}=\dfrac{3}{-1}=-3$

Therefore we have y = -3x + b.

Put the coordinates of the point (5, 5) to the equation:

5 = -3(5) + b

5 = -15 + b <em>add 15 to both sides</em>

20 = b

<h3>Answer: y = -3x + 20</h3>

igomit [66]3 years ago

5 0

Answer:

y = -3x + 20

Step-by-step explanation:

(a) Slope

The <em>point-slope formula</em> for a straight line is

y₂ - y₁ = m(x₂ - x₁) Insert the points

2 - 5 = m(6 - 5)

-3 = m×1

m = -3

=====

(b) y-intercept

y₂ - y₁ = m(x₂ - x₁)

y₂ - 5 = -3(x₂ - 5) Remove parentheses

y₂ - 5 = -3x₂ - 15 Add 5 to each side

y = -3x + 20

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Two equivalent ratios for 12/60

Marat540 [252]

If you would like to know two equivalent ratios for 12/60, you can calculate this using the following steps:

12/60 = 12/2 / 60/2 = 6/30
6/30 = 6/2 / 30/2 = 3/15
3/15 = 3/3 / 15/3 = 1/5

The result would be 6/30 or 3/15 or 1/5.

8 0

3 years ago

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Hey can you please help me posted picture of question :)

notka56 [123]

The given trinomial can be factored using factorization as

x²-x-12
=x²-4x+3x-12
=x(x-4)+3(x-4)
=(x-4)(x+3)

Thus x-4 and x+3 are the factors of the given trinomial. From these we can see x+3 is listed in option A

So the answer to this question is Option A

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2 years ago

The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of

Valentin [98]

The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

$\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}$

<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

$\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}$

The equation that the model represents is therefore;

The equation with fractions two ninths times three fourths is equal to six thirty sixths

Learn more about multiplication models here:

brainly.com/question/24586779

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1 year ago

What is the product of 119 thousandths times 10?

Gnesinka [82]

The answer is A becaues 119 thousand times 10 equals 1190000
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3 years ago

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In 2013, a study found that U.S. consumers consumed soft drinks with a mean of 42.2 gallons per year and variance of 169. Ninety

melisa1 [442]

Answer:

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The standard deviation is the square root of the variance, so $\sigma = \sqrt{169} = 13$