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kobusy [5.1K]
3 years ago
10

Write an equation for the line that is parallel to the given line and that passes through the given point. y = 1/2x - 8; (-6, -1

7).​
Mathematics
2 answers:
Allisa [31]3 years ago
6 0

Answer:

y = 1/2x - 14

Step-by-step explanation:

Parallel lines have the same gradient

So,

gradient for second line = gradient of the first line = 1/2

Also,

the line passes through (-6,-17)

So, we can find the y-intercept by substitution

y = mx + c

-17 = (1/2 * -6) + c

-17 = -3 + c

c = -14

So,

the equation is y = 1/2x - 14

frozen [14]3 years ago
5 0
Y= 1/2x -14 I think :)
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SIZIF [17.4K]
I assume that by square corners you mean 90 degree angles. if this is the case then there are 2 in a pentagon. Hope I helped :)
3 0
3 years ago
Write five names for -73
Deffense [45]
Negative 73
drop of 73
minus 73
below 73
taking away 73
6 0
3 years ago
Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi
ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

  • Angles around a point sum to 360°
  • 1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

\sf =\dfrac{360}{60} \times 25=150^{\circ}

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)

\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}

Given:

  • r = length of minute hand = 14 ft
  • \theta = 150°

\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}

4 0
2 years ago
Urgent help needed fast
Katena32 [7]

Answer:

Below

Step-by-step explanation:

You can use this formula to find the sum of an arithmetic series

     Sn = n / 2 (a1 + an)

You need to find the number of terms in each series before using the formula

     Tn = a + (n - 1) d

a) 53 = 5 + (n - 1) 3

      n = 17

Sn = 17 / 2 (5 + 53)

    = 493

b) 98 = 7 + (n - 1) 7

      n = 14

Sn = 14 / 2 (7 + 98)

   = 735

       

c) -102 = 8 + (n - 1) -5

        n = 23

Sn = 23 / 2 (8 + (-102))

   = - 1081

d) 41/3 = 2/3 + (n - 1) 1

        n = 14

Sn = 14 / 2 (2/3 + 41/3)

    = 301 / 3 or 100 1/3  

Hope this helped! Best of luck <3

7 0
3 years ago
5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.
Ostrovityanka [42]

The x-value of the intersection point of the lines is ( d - b)/(a-c)

<h3>Intersection of lines</h3>

Given the equation of a line expressed as;

y = ax +b and;

y = cx + d.

Equating both lines, we will have:

  • ax + b = cx + d

Make x the subject of the formula:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)

Learn more on intersecting lines here: brainly.com/question/2065148

7 0
2 years ago
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