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Jobisdone [24]
3 years ago
5

Find the gradient of the line segment between the points (4,3) and (5,7).

Mathematics
1 answer:
eduard3 years ago
3 0

Answer:

gradient = 4

Step-by-step explanation:

To find the gradient m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 3) and (x₂, y₂ ) = (5, 7)

m = \frac{7-3}{5-4} = \frac{4}{1} = 4

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What is the sum of the infinite geometric series?<br><br> mc010-1.jpg
ra1l [238]
You haven't provided the series, therefore, I can only help with the concept.

<u><em>For an infinite geometric series, we have two possibilities for the common ratio (r):</em></u>
for r > 1, the terms in the series will keep increasing infinitely and the only possible logic summation of the series would be infinity
for r < 1, the terms will decrease, therefore, we can formulate a rule to get the sum of the infinite series

<u><em>In an infinite series with r < 1, the summation can be found using the following rule:</em></u>
sum = \frac{a_{1} }{1-r}
where:
a₁ is the first term in the series
r is the common ratio

<u>Example:</u>
For the series:
2 , 1, 0.5 , 0.25 , ....
we have:
a₁ = 2
r = 0.5
Therefre:
sum = \frac{2}{1-0.5} = 4

Hope this helps :)
4 0
3 years ago
-4 -2 0 2 4 form the set of even integers true or false
GenaCL600 [577]

Answer:

True

Step-by-step explanation:

An integer is anything that's not a fraction/decimal, and being even is common knowledge

3 0
3 years ago
Read 2 more answers
A rate is a ratio? ( sometimes, always or never true?)
Brums [2.3K]

Answer:

The answer is never true

Step-by-step explanation:

Can you please give me brainliest

7 0
3 years ago
Read 2 more answers
X^2/3-3x^1/3-4=0<br><img src="https://tex.z-dn.net/?f=%7Bx%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20-%20%20%7B3x%7D%5E%7B%20%
DerKrebs [107]

{x}^{ \frac{2}{3} }  -  {3x}^{ \frac{1}{3} }  - 4 = 0
Solve using substitution
{t}^{2}  - 3t - 4 = 0
Solve the equation
t = 4 \\ t =  - 1
Return the substituted values
{x}^{ \frac{1}{3} }  = 4 \\  {x}^{ \frac{1}{3}  } =  - 1
Solve the equations
x = 64 \\ x =  - 1
The final solutions are,
x1 =  - 1 \\ x2 = 64


5 0
4 years ago
write in point slope form the equation of a line through (-3, 8) and (7, 6). A. y-6=1/5(x-7), B. y-8=-1/5(x+3), C. y-8=1/5(x=3)
Anna [14]
First you have to find the slope, the slope formula is m = y2 - y1/ x2 - x1

m = y2 - y1/ x2 - x1       (-3, 8)  (7, 6)
m = 6 - 8/ 7 - (-3)
m = -2/10
m = -1/5

point-slope formula;
y - y1 = m(x - x1)            m = -1/5   (-3, 8)
y - 8 = -1/5(x - (-3)
y - 8 = -1/5(x + 3)

so the answer is, B.

hope this helps, God bless!
4 0
4 years ago
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