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sp2606 [1]
2 years ago
5

Find the slope of y=(-8x-3)

Mathematics
1 answer:
Artemon [7]2 years ago
3 0

\tt Step-by-step~explanation:

This equation is in slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.

To find the slope of y = - 8 x - 3, we have to find what replaced m. -8 replaced m here, so -8 is the slope of this equation.

\Large\boxed{\tt Our~final~answer:~m=-8}

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A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x
Arturiano [62]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

6 0
3 years ago
Graph the line with slope 1/2<br> that passes through the point (-1,2).
enyata [817]

9514 1404 393

Answer:

  see the attachment for a graph

Step-by-step explanation:

With the given point and slope, the equation of the line can be written in point-slope form:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x +1) . . . . line with slope 1/2 through point (-1, 2)

__

Slope is the ratio of rise to run, so a slope of 1/2 means the line will rise 1 unit for each 2 units of run (to the right). If you're plotting this by hand, you can identify a second point that is 2 right and 1 up from the given point:

  (-1 +2, 2 +1) = (1, 3).

You can draw your line through those two points.

8 0
3 years ago
Given the functions f(n) = 11 and g(n) = -2(n - 1), combine them to create an arithmetic sequence, an, and solve for the 31st te
FromTheMoon [43]

Answer:

Option A is correct

a_n = 11-2(n-1) and  a_{31} = -49

Step-by-step explanation:

Given the functions:

f(n) = 11

g(n) = -2(n-1)

then;

combine them to create an arithmetic sequence i.e,

a_n = f(n)+g(n)

⇒a_n = 11-2(n-1) where n is the number of terms

To find the 31st term.

Substitute n =31 we have;

a_n = 11-2(31-1)

⇒a_{31}=11-60 = -49

Therefore, we have an arithmetic sequence,

a_n = 11-2(n-1) and  a_{31} = -49

3 0
3 years ago
Read 2 more answers
You walk east 749 feet to get from your house to class. After class, you walk southwest 800 feet to meet your friends for lunch.
mr_godi [17]
You'd be walking north towards your house which lays on the west but since youre already at southwest all you need to do is walk north.

3 0
3 years ago
What is the answer to <br> m/5 =10?
nata0808 [166]

Answer:

m/5=10

  • Step-by-step explanation: m/5=10
  • 5*m/5=10*5
  • m=50

5 0
3 years ago
Read 2 more answers
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