All categories

3 years ago

Which of the following is being constructed in the image?

Mathematics

2 answers:

slava [35]3 years ago

6 0

Answer:

A) a line perpendicular to a given line through a point on the line.

Step-by-step explanation:

Perpendicular means at a 90 degree angle.

As we can see, the arcs are crossing on a dotted line that is going through a point, and is perpendicular to the line the point is on.

madam [21]3 years ago

5 0

The answer is C, a perpedicular bisector. The distances of the mark along the given line are equidistance. Where the x is located, where the two dashes would intersect is where a 90 degre angle to the line would pass through.

You might be interested in

Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36

Vladimir79 [104]

The two intersection points are (-2.79, -0.58) and (0.79, 6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

$x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}$

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

#SPJ1

5 0

2 years ago

You wish to borrow $8000 for debt consolidation. The bank's interest rate for a personal loan is 7.2%. What is your monthly paym

Lisa [10]

<h3>The monthly payment is $242.44 for loan to paid off in 3 years.</h3>

Step-by-step explanation:

The amount borrowed = Principal = $8000

The rate of interest = 7.2%

Time (T) = 3 years

Now, Simple Interest = $\frac{P\times R \times T}{100}$

$\implies SI = \frac{8000 \times 7.2 \times 3}{100} = 1,728$

So, the total interest = $1728

Now, <u>Amount to be paid = Principal + Interest</u>

⇒ A = $8000 + $1728 = $8728

Also, 1 year = 12 months

⇒ 3 years = 3 x 12 months = 36 months

So, total amount to be paid in 36 months is $8728.

⇒The amount to be paid in 1 month is $(\frac{8728}{36} ) = 242.44$

Hence, the monthly payment is $242.44 if loan is to paid off in 3 years.

3 0

3 years ago

Graph the inequality y>x-2

Anna35 [415]

Answer: 2

Step-by-step explanation:

8 0

3 years ago

Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago

The following are prices for a 25 inch T.V. found in different stores around Roseville: 100,98,121,111,97,135,136,104,135,138,18

Vlad1618 [11]

There are 14 values above. The mean of these 14 numbers is calculated by dividing their sum by 14 which will give us an answer of 117.07 or ~117. The smallest of these values is 69 which is 48 units to the left of the average. The largest value is 189 which is 72 units to the right of the average. Therefore, in this distribution, the values are skewed to the right.

4 0

3 years ago

Read 2 more answers