All categories

3 years ago

What is the equation of (4,10),(6,11) in standard form?

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

7 0

ANSWER

The standard form is:

$x - 2y = - 16$

EXPLANATION

The given line passes through (4,10)and (6,11).

The slope of this line is

$m = \frac{11 - 10}{6 - 4}$

$m = \frac{1}{2}$

The equation is given by the formula,

$y-y_1=m(x-x_1)$

We plug in the first point and the slope to get.

$y-10= \frac{1}{2} (x-4)$

$2y - 20 = x - 4$

$x - 2y = - 20 + 4$

$x - 2y = - 16$

The standard form is

$x - 2y = - 16$

You might be interested in

Assuming a normal distribution of 1000 cases, how many cases will be farther away from the mean than + 3 standard deviations?a.A

DanielleElmas [232]

Answer:

$P(-3$

And then the probability that will be farther away from the mean than + 3 standard deviations is just

1-0.9973= 0.0027

And the number of cases would be 1000*0.0027=2.7 or approximatley 3 cases. And the bes option is : a.About 3

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

We are interested on this probability

$P(X-3\mu$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

And we can find this probability on this way:

$P(-3$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-3$

And then the probability that will be farther away from the mean than + 3 standard deviations is just

1-0.9973= 0.0027

And the number of cases would be 1000*0.0027=2.7 or approximatley 3 cases. And the bes option is : a.About 3

8 0

3 years ago

G(x) = 2x + 1<br> 2. g(10) =

nignag [31]

G(10) = 21
You plug in 10 and multiply it with 2, then add 1, which you’ll get 21.

5 0

2 years ago

Zhang is constructing a loading ramp (BA) that is 4-feet high (AC). The back of the base (BC) must be 12.8 ft. How long must the

inna [77]

The front of the base is 1.25 ft and the total base is 14.05 ft.

<h3>How to find the side of a right triangle?</h3>

A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.

The sides CD and BD can be found using similar triangle principle.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, the following proportion can be established as follows;

$\frac{BC}{AC}=\frac{AC}{CD}$

Hence,

$\frac{12.8}{4}=\frac{4}{CD}$

cross multiply

4 × 4 = 12.8 CD

16 = 12.8CD

divide both sides by 12.8

CD = 16 / 12.8

CD = 1.25 ft

BD = 1.25 + 12.8 = 14.05 ft

Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.

learn more on right triangle here: brainly.com/question/14324872

#SPJ1

6 0

2 years ago

Which set does not contain –3?

STALIN [3.7K]

Set? Are you missing part of the question

8 0

2 years ago

Task 13: are the expressions equivalent? Simplify to prove, if the two expressions are not equal write the correct equivalence.

yarga [219]

Answer:

#5: Equivalent

#6: Not Equivalent

1. 3x+6

2. 4y-4

3. x²+6x

4. xy+4x

5. 3x²+3xy-3x

Step-by-step explanation:

for #6 the equivalent: 2x(x+3)= 2x²+6x

8 0

1 year ago

What is the equation of (4,10),(6,11) in standard form?​

What is the equation of (4,10),(6,11) in standard form?