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ch4aika [34]
3 years ago
5

Find the gradient of the line segment between the points (2,2) and (0,6).

Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Answer:

slope-intercept formula ----->  Y2-Y1/X2-X1

Step-by-step explanation:

X1 = 2       X2= 0

Y1 = 2        Y2=6

6-2/0-2= -2

G= -2

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maria [59]

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Step-by-step explanation:

8 0
3 years ago
What is the value of h when the function is converted to vertex form?
elena-s [515]

Answer: h=7

Step-by-step explanation:

By definition the function in vertex form is:

 f(x)=a(x-h)^{2}+k

Where (h,k) is the vertex of the parabola.

You must group the terms that contain the same variable in the function:

f(x)=(x^{2}-14x)+29

Complete the square as following:

f(x)=(x^{2}-14x+49)+29-49

Now you must rewrite it as following:

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Then:

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4 0
3 years ago
Read 2 more answers
How many litres of milk can be put in six hemispherical bowl each of diameter 35cm​
Lesechka [4]

Answer:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

Step-by-step explanation:

The volume of a hemisphere (V), measured in cubic centimetres, is obtained from this formula:

V = \frac{2\pi}{3}\cdot R^{3}

Where R is the radius of the hemisphere, measured in centimetres.

We know that radius is the half of the diameter (D), measured in centimetres, then:

R = 0.5\cdot D

(D = 35\,cm)

R = 0.5\cdot (35\,cm)

R = 17.5\,cm

Now, we get the volume of each hemispherical bowl:

V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}

V \approx 11224.649\,cm^{3}

The total volume of six hemispherical bowl is:

V_{T} = 6\cdot V

V_{T}= 6\cdot (11224.649\,cm^{3})

V_{T} = 67347.894\,cm^{3}

From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

V_{T} = 67.348\,L

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

3 0
3 years ago
For each sequence, find the first 4 terms and the 10th term.<br> A) n+5<br> B)2n-1
snow_tiger [21]

Answer:

see explanation

Step-by-step explanation:

(a)

To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.

a₁ = 1 + 5 = 6

a₂ = 2 + 5 = 7

a₃ = 3 + 5 = 8

a₄ = 4 + 5 = 9

For the 10 th term substitute n = 10, that is

a₁₀ = 10 + 5 = 15

The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15

(b)

Substitute n = 1, 2, 3, 4 and 10 into the n th term formula

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 = 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

a₁₀ = 2(10) - 1 = 20 - 1 = 19

The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19

5 0
3 years ago
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