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Vanyuwa [196]
3 years ago
8

Find the equation in slope-intercept form of the line passing through the points with the given coordinates.

Mathematics
2 answers:
AlexFokin [52]3 years ago
7 0

Answer: y=5

Step-by-step explanation:

(-4,5), (10,5)

y2-y1/x2-x1 = 5-5/10-(-4) = 0/14=0

y=mx+b

5=0(10)+b

5=b

y=0(x)+5

y=5

Misha Larkins [42]3 years ago
6 0

Answer:

Y = 5

Step-by-step explanation:

The line move none for every unit (left/right) it goes. The graph is just a line on y:5

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The sum of 4 consecutive number is 330 what is the sum of the largest and the smallest number
Drupady [299]
X + x + 1 + x + 2 + x + 3 = 330
4x + 6 = 330
4x = 324, x = 81
Smallest number: 81
Biggest number: 81 + 3 = 84
Sum: 81 + 84 = 165
The answer is 165
3 0
2 years ago
Use the Ratio Test to determine whether the series is convergent or divergent.
natka813 [3]

Answer:

The series is absolutely convergent.

Step-by-step explanation:

By ratio test, we find the limit as n approaches infinity of

|[a_(n+1)]/a_n|

a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)

a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)

[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]

= |-3n³/2(n+1)³|

= 3n³/2(n+1)³

= (3/2)[1/(1 + 1/n)³]

Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity

= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity

= 3/2 × 1

= 3/2

The series is therefore, absolutely convergent, and the limit is 3/2

3 0
3 years ago
Given H = f(t) where H is the height in meters of an object and t is the time in
timama [110]

Answer:

D

Step-by-step explanation:

Well, since t = time in air, we already know that it traveled 2 seconds.

H = height in meters, and H = 18

So, after 2 seconds the object is 18m in the air

So, option D

4 0
11 months ago
Which equation is equivalent to the formula below? <br> Y = A ( X - H) ^2 + K
frozen [14]

Answer:

<em>B. a = y - k/(x-h)² </em>

Step-by-step explanation:

Given the expression y = a (x-h)² + k

First make  a the subject of the formula

Subtract k from both sides

y = a (x-h)² + k

y- k = a (x-h)² + k - k

y - k = a (x-h)²

Divide through by (x-h)²

y - k/(x-h)²  = a

a = y - k/(x-h)²

Hence option B is correct

6 0
3 years ago
Read 2 more answers
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )
vlabodo [156]

Step-by-step explanation:

The Pythagorean theorem is:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

where c is the hypotenuse.

The two wires in the sketch are the hypotenuse so we just use the formula

let the wires=x

So:

{x}^{2}  =  {12}^{2}  +  {6}^{2}

{x}^{2}  = 144 + 36

{x}^{2}  = 180

x =  \sqrt{180}

x = 13.42 feet

8 0
2 years ago
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