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3 years ago

Hello guys i m new here vkq-jnfi-uif meet

Mathematics

2 answers:

sergeinik [125]3 years ago

8 0

Answer:

welcome

Step-by-step explanation:

sukhopar [10]3 years ago

8 0

Answer:

Welcome to brainly!

Step-by-step explanation:

You might be interested in

Carla needs 8 inches of ribbon for each craft she makes. What is the greatest number of crafts Carla can make using 30 feet of r

Contact [7]

Well 30x12in is 360in. 360in divided by 8 is 45. She can make 45 crafts

7 0

3 years ago

Part B

alisha [4.7K]

Question:

Consider ΔABC, whose vertices are A (2, 1), B (3, 3), and C (1, 6); let the line segment AC represent the base of the triangle.

(a) Find the equation of the line passing through B and perpendicular to the line AC

(b) Let the point of intersection of line AC with the line you found in part A be point D. Find the coordinates of point D.

Answer:

$y = \frac{1}{5}x + \frac{12}{5}$

$D = (\frac{43}{26},\frac{71}{26})$

Step-by-step explanation:

Given

$\triangle ABC$

$A = (2,1)$

$B = (3,3)$

$C = (1,6)$

Solving (a): Line that passes through B, perpendicular to AC.

First, calculate the slope of AC

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

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$C = (1,6)$ --- $(x_2,y_2)$

The slope is:

$m = \frac{6- 1}{1 - 2}$

$m = \frac{5}{-1}$

$m = -5$

The slope of the line that passes through B is calculated as:

$m_2 = -\frac{1}{m}$ --- because it is perpendicular to AC.

So, we have:

$m_2 = -\frac{1}{-5}$

$m_2 = \frac{1}{5}$

The equation of the line is the calculated using:

$m_2 = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$m_2 = \frac{1}{5}$

$B = (3,3)$ --- $(x_1,y_1)$

$(x_2,y_2) = (x,y)$

So, we have:

$\frac{1}{5} = \frac{y - 3}{x - 3}$

Cross multiply

$5(y-3) = 1(x - 3)$

$5y - 15 = x - 3$

$5y = x - 3 + 15$

$5y = x +12$

Make y the subject

$y = \frac{1}{5}x + \frac{12}{5}$

Solving (b): Point of intersection between AC and $y = \frac{1}{5}x + \frac{12}{5}$

First, calculate the equation of AC using:

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

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$m = -5$

So:

$y=-5(x - 2) + 1$

$y=-5x + 10 + 1$

$y=-5x + 11$

So, we have:

$y=-5x + 11$ and $y = \frac{1}{5}x + \frac{12}{5}$

Equate both to solve for x

i.e.

$y = y$

$-5x + 11 = \frac{1}{5}x + \frac{12}{5}$

Collect like terms

$-5x -\frac{1}{5}x = \frac{12}{5} - 11$

Multiply through by 5

$-25x-x = 12 - 55$

Collect like terms

$-26x = -43$

Solve for x

$x = \frac{-43}{-26}$

$x = \frac{43}{26}$

Substitute $x = \frac{43}{26}$ in $y=-5x + 11$

$y = -5 * \frac{43}{26} + 11$

$y = \frac{-5 *43}{26} + 11$

Take LCM

$y = \frac{-5 *43+11 * 26}{26}$

$y = \frac{71}{26}$

Hence, the coordinates of D is:

$D = (\frac{43}{26},\frac{71}{26})$

3 0

3 years ago

Help? thank you <3

Oliga [24]

Answer:

Equation would be y=0x+2.

Step-by-step explanation:

b = 2

m = 0

using the formula,

y=mx+b

or, y = 0x+2

or, y = 0+2

so, y = 2

5 0

2 years ago

A company took a survey about its new project. I did the hundred people surveyed, 44 liked the new product. What percentage of t

Aleks [24]

Answer:

The percentage people surveyed like to the new product is 44%.

Step-by-step explanation:

Given:

Company took a survey about its new project, hundred people surveyed, 44 liked the new product.

Now, to find the percentage of the people surveyed like to the new product:

People like new product / Total people surveyed × 100

$\frac{44}{100}\times 100$

$=0.44\times 100$

$=44$

So, it is 44%

Therefore, the percentage people surveyed like to the new product is 44%.

3 0

4 years ago

Solve the inequality 13×-4 < 12x-1

Murrr4er [49]

Answer:

x <3

Step-by-step explanation:

13x-4 < 12x-1

Subtract 12x from each side

13x-12x-4 < 12x-12x-1

x-4 <-1

Add 4 to each side

x-4+4<-1+4

x <3

7 0

3 years ago

Hello guys i m new here vkq-jnfi-uif meet ​

Hello guys i m new here vkq-jnfi-uif meet