The two numbers multiply to 64 and add up to negative 16 are -8, -8.
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
Let us assume first number be = x
and, let the second number be = y
then,
multiplication of two number will be :
xy = 64...(1)
addition of two numbers will be -16 that is :
x + y = -16..(2)
we have :
(x+y)² - (x-y)² = 4xy
(x-y)² = (x+y)² - 4xy
(x-y)² = (-16)² - 4 x 64
(x-y)² = 256 - 256
(x-y)² = 0
(x-y) = 0
x = y
Now, from equation (2) we have ":
x + y = -16
x + x = -16
2x = -16
x = y= -8
Therefore, the two numbers multiply to 64 and add up to negative 16 are -8, -8.
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Answer:
54 mph
Step-by-step explanation:
passing through the point (-2, 5).
Answer:
y = 1/3x + 17/3
Step-by-step explanation:
Required answer: Below
Detailed explanation:
Let's find the equation of the line first.
We know that the line:
So, we use these pieces of information and plug them into the formula:
Now let's graph it.
Answer:B
Step-by-step explanation:
Sara gets 30 miles per gallon of gas. Hence, with 12.5 gallons of gas, she can drive 375 miles.
To calculate how many miles Sara can drive per gallon of gas, we need to divide the total distance driven by the amount of gas used. In this case, it's 96 miles divided by 3.2 gallons. Using simple division, we find that Sara gets 30 miles per gallon of gas.
Now, to find out how far Sara can drive using 12.5 gallons, you just need to multiply the miles per gallon by the number of gallons available. In this case, it's 30 miles per gallon times 12.5 gallons. Hence, Sara can drive 375 miles on 12.5 gallons of gas.
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The rectangular coordinates of a point are unique.
The statement is true.
Given, that coordinates of rectangle.
Properties of rectangle:
1) Opposite sides of the rectangle are equal.
2) Side length of the rectangle with rectangular coordinates can be obtained by distance formula.
Distance formula :
Where,
() = Coordinates of rectangle .
= Coordinates of rectangle .
Four coordinates of rectangle will be different and unique thus forming a perfect rectangle satisfying all the properties.
Therefore the statement is true.
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