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MrRissso [65]
3 years ago
14

Can anyone help with this please, I am so stuck!

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

(x + 1)^2 + (y - 4)^2 = 8

Step-by-step explanation:

Midpoint of the diameter is the centre

So....Centre coordinates are ((-3+1)÷2 ; (2+6)÷2) = (-1;4)

Calculate the radius of the circle....

Radius = square root of [(-1+3)^2 + (4-2)^2]

;Radius = square root of 8

Then substitute the x-coordinate of the centre into the first slot....then the y-coordinate into the second slot and the radius(squared) into last slot of the equation......;

(x + 1)^2 + (y - 4)^2 = 8

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Step-by-step explanation:

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7 0
3 years ago
What is the answer to 7/12 plus 1/3
viva [34]

Answer: 11/12

Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.

The fraction 7/12 already has a 12 in the denominator so we leave it alone.

To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.

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To add like fractions, we simply add across the numerators.

7/12 + 4/12 = 11/12

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4 0
3 years ago
A polynomial function has a root of -4 with multiplicity of 4, a root of -1 with multiplicity of 3, and a root of 5 with multipl
Dmitrij [34]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.


Step-by-step explanation:


A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.


This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.


In this polynomial:


Root -4 has even multiplicity of 4 so it only touches and does not cross through.


Root -1 has odd multiplicity of 3 so crosses through.


Root 5 has even multiplicity of 6 so it only touches and does not cross through.


Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.


To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

7 0
3 years ago
Read 2 more answers
A box contains 10 cards numbered 1 through 10. Which events are mutually exclusive? A. A card is drawn from the box and the numb
coldgirl [10]
The answer is A. 5 is not an even number, so both events can't take place together.
6 0
4 years ago
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