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3 years ago

The point (-3, 4) is on the line x+4y=13.

Mathematics

1 answer:

lys-0071 [83]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

To determine if the point lies on the line substitute the coordinates into the left side of the equation and if equal to the right side then the point lies on the line

- 3 + (4 × 4) = - 3 + 16 = 13 = right side

Hence (- 3, 4) lies on the line x + 4y = 13

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What do the following two equations represent -4-4y=-5 4x-4y=1

Alex73 [517]

Step-by-step explanation:

Get the value of y first from the first equation.. Replace the value of y on the second equation to get the value of x

6 0

3 years ago

Researchers want to survey the mass of American alligators in a certain region. They want to maximize the efficiency of this eff

Sonja [21]

An appropriate statistical test that can be used to evaluate the usefulness of this method is Linear regression with t-test for significance of slope.

For this research, they want to measure the lengths of alligators and use the already obtained data relating the lengths of captured and released alligators to their masses, to obtain the masses of alligators whose lengths have been measured.

So, in this research survey, the masses of the alligators is the dependent variable which depends on the lengths.

Basically, the researchers measure the length of an alligator and use the data to work out its mass.

So, an appropriate method to relate the two variables is to use regression analysis on the already obtained data, to obtain the linear relationship between mass of the alligators and their lengths. So that, just by putting on the measured lengths of the alligators surveyed into this expression, their corresponding masses would be immediately obtained.

But the correctness of this expression obtained will be checked by using t-test for the significance of the slope obtained in the linear regression.

So, the appropriate statistical test that can be used to evaluate the usefulness of this method is: Linear regression with t-test for significance of slope.

To learn more about Linear regression from the given link

brainly.com/question/16164513

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3 0

2 years ago

If a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin(a+b).

frutty [35]

Answer:

$sin(a+b)=\frac{4\sqrt{21}+2\sqrt{65}}{45}$

Step-by-step explanation:

we are given

$sin(a)=\frac{4}{9}$

$sin(b)=\frac{2}{5}$

Firstly, we will draw triangle

we get

$cos(a)=\frac{\sqrt{65} }{9}$

$cos(b)=\frac{\sqrt{21} }{5}$

now, we can sue formula

$sin(a+b)=sin(a)cos(b)+cos(a)sin(b)$

now, we can plug values

$sin(a+b)=\frac{4}{9}\times \frac{\sqrt{21} }{5}+\frac{\sqrt{65} }{9}\times \frac{2}{5}$

now, we can simplify it

$sin(a+b)=\frac{4\sqrt{21}+2\sqrt{65}}{45}$

6 0

3 years ago

Amanda's school is due west of her house and due south of her friend Shereen's house. The distance between the school and Sheree

Blizzard [7]

The Amanda's house is 6.7 km far from her school.

<u>Step-by-step explanation:</u>

From the given information,

The Amanda's school is due west of her house forms the base.
The school is due south of the Shereen's house forms the height.
The straight-line distance between Amanda's house and Shereen's house forms the hypotenuse.

Therefore, It can be determined that it forms the right angle triangle.

It is given that,

The distance between the school and Shereen's house is 2 kilometers.

That is, the height of the triangle = 2 km

The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.

That is, the hypotenuse of the triangle = 7 km

Now, the distance between the Amanda's house and her school is the base of the triangle.

Base = $\sqrt{(hypotenuse)^{2}-(height)^{2} }$