Answer:
r = 7
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 49 ← is in this form
with r² = 49 ⇒ r = = 7
Well, since it says it's congruent, it's congruent. EF overbar congruent to GH overbar.
Answer:
An equivalent expression = 8b + (-4)
Step-by-step explanation:
In Mathematics, numbers exhibit or are guided by certain properties that they can show.
Some of those of properties are :
a) Commutative property where:
a + b = b + a
b) Associative property
a+( b + c) = (a + b) + c
c) Additive inverse property
a - b = a + ( - b)
For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.
An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.
Hence, using the Additive inverse property
a - b = a + ( - b)
The equivalent expression for 8b - 4 = 8b + ( -4)
The factorized expression of 8^3 + 12x is 4(128+ 3x)
<h3>How to factor the common factor out?</h3>
The expression is given as:
8^3 + 12x
Evaluate 8^3
8^3 + 12x = 512 + 12x
Factor out 2 from the expression
8^3 + 12x = 2(256+ 6x)
Factor out 2 from the expression
8^3 + 12x = 2 * 2(128+ 3x)
Evaluate the product
8^3 + 12x = 4(128+ 3x)
Hence, the factorized expression of 8^3 + 12x is 4(128+ 3x)
Read more about factorized expressions at
brainly.com/question/22048677
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Answer:
The value of x is 14.
Step-by-step explanation:
Given;
mid-segment of the trapezoid = 11
The mid-segment of trapezoid is calculated as;
Therefore, the value of x is 14.