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3 years ago

CAN SOMEONE PLS HELP MEEEEEEE

Mathematics

1 answer:

k0ka [10]3 years ago

7 0

9514 1404 393

Answer:

6x +y = -6
6x -y = 8
5x +y = 13

Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

eliminate parentheses
subtract the x-term
subtract the constant on the left
if the coefficient of x is negative, multiply by -1

Of course, any operation you do must be done to both sides of the equation.

1. y -6 = -6(x +2)

y -6 = -6x -12 . . . . . eliminate parentheses

6x +y -6 = -12 . . . . . add 6x

6x +y = -6 . . . . . . . . add 6

2. y +2 = 6(x -1)

y +2 = 6x -6

-6x +y +2 = -6

-6x +y = -8

6x -y = 8 . . . . . . . . multiply by -1

3. y -3 = -5(x -2)

y -3 = -5x +10

5x +y -3 = 10

5x +y = 13

_____

Additional comment

The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.

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In right angle ABC, angle C is the right angle, AC = 3 and AB = 5. Point D is on hypotenuse AB, such that DB = 1. Find the area

Ivan

Look at the picture.

To find the area of triangle DBC we need to find its base, x, and its height, h.

Triangle ABC is a right triangle, so using the Pythagorean theorem we can find x.
$(\hbox{one leg})^2+(\hbox{the other leg})^2=(\hbox{the hypotenuse})^2 \\
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9+x^2=25 \\
x^2=25-9 \\
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x=\sqrt{16} \\
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Now look at triangles ABC and DBH. They both are right triangles and have the same angle α. That means they're similar and their corresponding sides are proportional. The ratio of the side opposite to angle α to the hypotenuse is the same in both triangles - so the ratio of h to 1 is the same as the ratio of 3 to 5.
$\frac{h}{1}=\frac{3}{5} \\
h=\frac{3}{5}$

The base x is 4, the height h is 3/5. Calculate the area:

$A=\frac{xh}{2}=\frac{4 \times \frac{3}{5}}{2}=2 \times \frac{3}{5}=\frac{6}{5}$

The area of triangle DBC is 6/5.

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3 years ago

The function — is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the ti

MissTica

The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].

<h3>What are the domain and range of the function as given in the task content?</h3>

It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.

Also, the range of a function is the set of all possible output values for such function.

On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].

While the range is the difference between the minimum and maximum height attained and can be computed as follows;

At minimum height, t = 0; hence, h(t) = 0.

At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.

Hence, h(1.92) = 18.05.

The range is therefore; [0, 18.05].

Read more on domain and range;

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

How do you do this?! (2w-1)/(4)=(2-w)

nikklg [1K]

Answer:

w = 3 is your answer.

Step-by-step explanation:

You want to get w by itself.

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3w = 9 You will divide 3 on both sides.

w = 3 is your answer.

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2 years ago

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