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aleksklad [387]
3 years ago
8

The table lists several points that form a line on a coordinate plane.

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

Slope is 1/4 (0.25) while y-intercept is 5

Step-by-step explanation:

Here, we are interested in getting the y intercept and slope of the line joining the given points.

We can get the slope by using any two points

Let’s say (4,6) and (12,8)

Mathematically; slope

= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25

To get the y-intercept, we proceed

kindly recall that the equation of a straight line is;

y = mx + c

where m is the slope and c is the y-intercept

Let’s take any of the points (28,12)

Thus:

12 = 0.25(28) + c

12 = 7 + c

c = 12-7

c = 5

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A³b² a²b simplify the following expression
liberstina [14]

Answer:

a^{5}b^{3}

Step-by-step explanation:

The law of indices can be used to simplify mathematical expressions involving  arithmetical operation on variables with powers.

a^{m} x a^{n} = a^{(m+n)}

Thus, the given expression can be simplified as follows:

a³b² a²b  = a³ x a² x b² x b^{1}

               = a^{3+2} x b^{2+1}

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Thus,

a³b² a²b  = a^{5}b^{3}

7 0
2 years ago
List intercepts for 4x^2+9y^2=36
polet [3.4K]
X intercept = (-3, 0) (3, 0)
y int = (-2,0) (2,0)
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3 years ago
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Given two vectors a⃗ = 4.60 i^+ 7.20 j^ and b⃗ = 5.10 i^− 2.70 j^ , find the scalar product of the two vectors a⃗ and b⃗ .
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A=<4.60,7.20>
b=<5.10,2.70>
The scalar product, or the inner product, or the dot-product, is by summing the products of the respective directions, 
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What is the center of a circle with the equation (x − 6)2 + (y + 2)2 = 9?
MakcuM [25]

The correct answer is C.

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Please help me hurry please
aalyn [17]

Answer:

y = root under 24 (evaluate it if necessary)

or y = 2 root 6

Step-by-step explanation:

Let the reference angle be x

for the triangle in left,

b = 6-4 = 2

Now,

taking x as refrence angle,

cosx = b/h

or, cosx = 2/h

again,

for the bigger triangle,

taking x as reference angle,

cosx = b/h

or, cosx = b/6

As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,

Let's suppose its a

so, cosx = a/6 = 2/a

now,

a/6 = 2/a

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now,

for bigger triangle, using pythagoras theorem,

h² = p²+b²

or, 6² = y² + a²

or, 36 = y² + 12

or, y² = 24

so, y = root under 24

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2 years ago
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