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Sedbober [7]
4 years ago
5

What kind of line is being constructed in the series of diagrams?

Mathematics
2 answers:
lions [1.4K]4 years ago
8 0

Answer:

Perpendicular

Step-by-step explanation:

In figure (i), with Q as centre and any radius  we make two arcs on the line  (using compass) such that each of the arc is equidistant from Q.

Mark the intersecting points on the line as A and B. (see figure (i) )

Now, take A as centre and open compass more than half of the line i.e,  more than AQ, draw an arc (see figure (ii) ).

With the same radius as in figure (ii) and centre B , draw an arc which intersects the previous arc at point P. (see figure (iii) )

If we draw line from the intersecting point P to the line, we get a perpendicular .

So, second option is correct .

alexira [117]4 years ago
6 0
I think it's Perpendicular:)
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Rodney has 5 black t-shirts, 8
alexdok [17]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
#1.) What is the slope between point C and Point D? *Please Show All Work*
ANTONII [103]

Answer:

1. m = slope = \frac{12}{7}

2. y = \frac{12}{7}x

3. Domain: 0≤x≤7

Range: 0≤y≤12

Step-by-step explanation:

1. Assuming 1 unit = 1 box on the grid, therefore, coordinates of C and D would be:

C(0, 0),

D(7, 12)

Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{7 - 0} = \frac{12}{7}

2. Equation of the using the slope-intercept formula, y = mx + b, where,

m = slope = \frac{12}{7}

b = y-intercept, which is where the line CD cuts the y-axis = 0

Plug in the values for m and b into the formula to get the equation of the line:

y = \frac{12}{7}x + 0

y = \frac{12}{7}x

3. The domain for C to D part = all x-values = 0≤x≤7

The range = all y-values = 0≤y≤12

3 0
4 years ago
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t
Natalka [10]

Answer:

B is correct

Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line

3y = 2x - 9...divide by 3

y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions

7 0
3 years ago
Read 2 more answers
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his sons age. The present age of son is
Svetlanka [38]

Answer:

The present age of son is 7

Step-by-step explanation:

Let the son age be x

One year ago

Son's age = x - 1

Therefore man's age = 8(x-1) =8x - 8

Now man's age = x^2

Difference between both ages if man =1 years

So

x^2 -(8x-8) = 1

x^2-8x + 8-1 =0

x^2- 8x + 7 = 0

x^2 - 7x -x + 7 = 0

X(x-7) - 7 ( x - 7) = 0

(x - 1) ( x - 7) = 0

x = 1, 7

But son cannot be 1 years

Therefore ,

x = 7

SO,

age of son is <em>7</em>

age of father is x×7=<em>49</em>

3 0
3 years ago
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