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3 years ago

Help me prettyyyy please

Mathematics

2 answers:

Kruka [31]3 years ago

6 0

Answer:

Surface area: 66 $\pi$ decimal form 207.35

Volume: 72pi or 226.195

Step-by-step explanation:

OlgaM077 [116]3 years ago

3 0

Answer:

Hii! Surface area= 207.35, volume= 226.19. Hope this helps!

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What would x be in this parallelogram ?

irina [24]

Answer:

Step-by-step explanation:

The diagonals of a parallelogram <em>bisect</em> each other, which is to say they split each other in half, and since each half length is equal to the other, we can say that

3x + 3 = 6x - 57

Which, after some algebraic manipulation, gives us the solution

x = 18.

8 0

3 years ago

Find the equation of the line . Write in slope intercept form and in standard form. (SHOW YOUR SOLUTION)

AlladinOne [14]

Answer:

1) The slope-intercept and standard forms are $y = -5\cdot x + 1$ and $5\cdot x +y = 1$ , respectively.

2) The slope-intercept form of the line is $y = \frac{5}{2}\cdot x -\frac{9}{2}$ . The standard form of the line is $-5\cdot x +2\cdot y = -9$ .

3) The slope-intercept form of the line is $y = \frac{5}{2}\cdot x + 5$ . The standard form of the line is $-5\cdot x +2\cdot y = 10$ .

4) The slope-intercept and standard forms of the family of lines are $y = \frac{2}{7}\cdot x -\frac{c}{7}$ and $2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$ , respectively.

5) The slope-intercept form of the line is $y = 2\cdot x-7$ . The standard form of the line is $-2\cdot x +y = -7$ .

Step-by-step explanation:

From Analytical Geometry we know that the slope-intercept form of the line is represented by:

$y = m\cdot x + b$ (1)

Where:

$x$ - Independent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the standard form of the line is represented by the following model:

$a\cdot x + b \cdot y = c$ (2)

Where $a$ , $b$ are constant coefficients, dimensionless.

Now we process to resolve each problem:

1) If we know that $m = -5$ and $b = 1$ , then we know that the slope-intercept form of the line is:

$y = -5\cdot x + 1$ (3)

And the standard form is found after some algebraic handling:

$5\cdot x +y = 1$ (4)

The slope-intercept and standard forms are $y = -5\cdot x + 1$ and $5\cdot x +y = 1$ , respectively.

2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that $(x_{1},y_{1})=(1,-2)$ and $(x_{2},y_{2}) = (3,3)$ , then we construct the following system of linear equations:

$m+b= -2$ (5)

$3\cdot m +b = 3$ (6)

The solution of the system is:

$m = \frac{5}{2}$ , $b = -\frac{9}{2}$

The slope-intercept form of the line is $y = \frac{5}{2}\cdot x -\frac{9}{2}$ .

And the standard form is found after some algebraic handling:

$-\frac{5}{2}\cdot x +y = -\frac{9}{2}$

$-5\cdot x +2\cdot y = -9$ (7)

The standard form of the line is $-5\cdot x +2\cdot y = -9$ .

3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that $(x_{1},y_{1})=(-2,0)$ and $(x_{2},y_{2}) = (0,5)$ , then we construct the following system of linear equations:

$-2\cdot m +b = 0$ (8)

$b = 5$ (9)

The solution of the system is:

$m =\frac{5}{2}$ , $b = 5$

The slope-intercept form of the line is $y = \frac{5}{2}\cdot x + 5$ .

And the standard form is found after some algebraic handling:

$-\frac{5}{2}\cdot x+y =5$

$-5\cdot x +2\cdot y = 10$ (10)

The standard form of the line is $-5\cdot x +2\cdot y = 10$ .

4) If we know that $a = 2$ and $b = -7$ , then the standard form of the family of lines is:

$2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$

And the standard form is found after some algebraic handling:

$-7\cdot y = -2\cdot x +c$

$y = \frac{2}{7}\cdot x -\frac{c}{7}$ , $\forall \,c\in\mathbb{R}$ (11)

The slope-intercept and standard forms of the family of lines are $y = \frac{2}{7}\cdot x -\frac{c}{7}$ and $2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$ , respectively.

5) If we know that $(x,y) = (3,-1)$ and $m = 2$ , then the y-intercept of the line is:

$3\cdot 2 + b = -1$

$b = -7$

Then, the slope-intercept form of the line is $y = 2\cdot x-7$ .

And the standard form is found after some algebraic handling:

$-2\cdot x +y = -7$ (12)

The standard form of the line is $-2\cdot x +y = -7$ .

6 0

3 years ago

On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1). What is the equation, in p

torisob [31]

Answer:

y = -2x + 9

Step-by-step explanation:

(1-3)/(-2--3) = -2/1 = -2 = m

y = mx + b

1 = -2(4) + b

9 = b

y = -2x + 9

5 0

4 years ago

What is the LCM of 6 and 12?

Tresset [83]

LCM of 6 and 12 is 6 because you reduce the two numbers with 2 and in the end, you get 3. So, you multiply the two numbers and you get 6.

3 0

4 years ago

How were the policies of President Kennedy and President Johnson similar and different?

mart [117]

The ways that the policies of President Kennedy and President Johnson are similar and different is given below:

Both President were similar as they both were from heavily political and big families.
Kennedy and Johnson were known to be similar in a lot of the ways especially in the way that they ran the country.

After the assassination of Kennedy, Johnson was known to have followed the footsteps of his predecessor's and went ahead on implementing some of his programs. Johnson was known to have went ahead with the the anti-poverty program and the Civil Rights Bill.

<h3>What is a difference between John F. Kennedy and Lyndon Johnson?</h3>

The differences between the both presidents were:

President Kennedy was known to be a better public speaker when compared to President Johnson.

President Kennedy has his origin from the North, while that of Johnson was from the South.

President Kennedy was used to be seen in affluent crowd, but Johnson was known to be a simple Texan Man.

Conclusively, these two president were said to be very were similar, and yet they were different.

Learn more about President Kennedy from

brainly.com/question/13721861

4 0

3 years ago