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blondinia [14]
3 years ago
14

Graph the line that passes through the points (6, 4)and (8, 8) and determine the equation of the line.

Mathematics
1 answer:
Lesechka [4]3 years ago
6 0
Wow, what a coincidence, I just learned this at school today!
1. Slope
M= yb-ya/xb-xa
M= 8-4/8-6
M= 4/2
M= 2

2. Y-intercept
Y= mx + b
4 = (2)(6) + b
4 = 12 + b
4 = 12 + b
-12 = - 12 + b
-8 = b

Therefore, the equation is Y = 2x - 8
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5 and above give it a shove, 4 and below let it go
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3 years ago
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Consider the graphs of f(x) and g(x).
butalik [34]

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7

5 0
3 years ago
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The area A(r)(in square meters) of a circular algae colony with radius r meters is given by A(r)=pir^2. Basically that's A(r)= p
Taya2010 [7]

Answer:

The expression provided by the area (square meters) is given by:  A(t) = pi \frac{100t^{2} }{9}.

Step-by-step explanation:

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The radius of the circle formed by the algae colony is a function of time t (in minutes), so M (t) = \frac{10t }{3}. So,

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A(t) = pi (\frac{10t }{3})^{2} = pi \frac{100t^{2} }{9}

Then the expression provided by the area (square meters) is given by:  A(t) = pi \frac{100t^{2} }{9}.

7 0
3 years ago
Can you help me please.........................
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Answer is A

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Lemur [1.5K]

Answer:

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Step-by-step explanation:

you round down from the 50

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