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Aleksandr-060686 [28]
3 years ago
6

Two lines intersecting at a right angle

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

Perpendicular Lines

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If (−4, 11) and (−6, 5) are the endpoints of a diameter of a circle, what is the equation of the circle?
lora16 [44]

Answer:

A. (x+5)^2+(y-8)^2=100

Step-by-step explanation:

1. The standard form of the equation of a circle is (x-h)^{2} + (y-k)^2=r^2

2. To find the center we require the  midpoint   of the  2 given points

center =[\frac{1}{2}(-4-6),\frac{1}{2}(11+5)]

=(-5,8)

3. The radius is the distance from the centre to either of  the 2 given points calculate the radius using the  distance formula

d= \sqrt{(x_{2}+x_{1})^{2} +(y_{2}-y_{1})^{2}

let (x_{1},y_{1})= (-5,8) \\ and (x_2,y_2)=(-4,11)

r=\sqrt{(-4+5)^2+(11-8)^2} =\sqrt{81+9}=10

--> (x-(-5)^2+(y-8)^2=10^2

--> (x+5)^2+(y-8)^2=100

4 0
3 years ago
Read 2 more answers
Find the values of the variables in the parallelogram. The diagram is not drawn to scale. Use fear rams involving parallel lines
Anarel [89]
X = 21; y = 56; z = 103
3 0
3 years ago
8(5-32) equal to and explain <br> please help
Gre4nikov [31]
You would use order of operations: PEMDAS
P(parenthesis) E(exponents) MD(multiplication/division) AS(addition/subtraction)
with MD and AS order doesnt matter.
8(5-32) you would start with inside the Parenthesis for "P" so (5-32)=(-27)
next you would go to the E but because you dont have an exponent you go to the next step with is the "MD" you have multiplication so next would be 8(-27) and 8 multiplied by -27 is: 8(-27)= -216
ANSWER: -216
4 0
3 years ago
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Which expression is equivalent to (4+6i)^2
Talja [164]

answer is A.) -20+48i

hope this helps

3 0
3 years ago
Can someone please help me? :)
Dimas [21]
Answer: is C. 30,000
8 0
3 years ago
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