In multiplication, a negative times a positive has a negative answer. if both are positive or both are negative, the answer is positive.
5 * -5 = -25
-5* -5 = 25
in divisions say you have
-5/5 = -1
-5/-5= 1
5/-5= -1
in addition and subtraction, subtracting a negative means to add the two numbers. adding a negative means to subtract the second number.
5+ (-5) = 0
5- (-5) = 10
Answer: C) 44 degrees
Step-by-step explanation:
44
Answer:
Below in bold.
Step-by-step explanation:
x^2 - y^2 = 11
2x^2 + y^2 = 97
From the first equation:
y^2 = x^2 - 11
Substituting in the second equation:
2x^2 + x^2 - 11 = 97
3x^2 = 108
x^2 = 36
x = 6, -6.
Substituting for x in the first equation:
(6)^2 - y^2 = 11
y^2 = 36 - 11 = 25
y = 5, -5.
Answer: 122.5
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Explanation:
First thing to do is to find the perimeter of figure B. Add up all the sides and we get: 5+9+9+12 = 14+21 = 35.
The scale factor 7:2 means that if the perimeter of figure A was 7, then the perimeter of figure B would be 2. Or it could be 14 for A and 4 for B. And so on. The idea is that the two perimeters scale up or down together. This allows us to set up the proportion below in which we can solve for x
(perimeter of A)/(perimeter of B) = 7/2
x/35 = 7/2
x*2 = 35*7 .... cross multiply
2x = 245
2x/2 = 245/2 .... divide both sides by 2
x = 122.5
The perimeter of figure A is 122.5
As per the Intersecting Chords theorem, if two chords cross in a circle, the products of the chord segments' measures are equal. The measure of the line segment is DF is 14 units.
<h3>What is Intersecting Chords theorem?</h3>
If two chords cross in a circle, the products of the chord segments' measures are equal.
As per the Intersecting Chords theorem, the product of DF and FB will be equal to the product of CF and FA, therefore,
DF×FB = CF×FA
(x+8) × 8 = 16 × 7
(x+8) = (16×7)/8
(x+8) = 14
Hence, the measure of the line segment is DF is 14 units.
Learn more about Intersecting Chords theorem:
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