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Elena L [17]
2 years ago
15

5b 2 −6b−2 is prime TURE OR FALSE!! 100 POINTS PLEASE HELP!!!!

Mathematics
1 answer:
Ivan2 years ago
6 0

The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.

<h3>What is the discriminant of the expression?</h3>

According to the task content; it is required to identify if the expression is prime.

On this note, it follows that the discriminant of the expression can be evaluated as follows;

= 36 -(4× 5 × -2)

= 76.

Hence, the expression is prime since 76 is not a perfect square.

Read more on discriminant;

brainly.com/question/2507588

#SPJ1

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Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet
Tpy6a [65]

This question is not correctly written.

Correct Question

Juan wants to know the cross- sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Juan uses the formula A=〖πr〗^2 where A is the area of the circle and r is its radius. He uses 3.14 for π.

a) What value does Juan get for the area of the circle? Make sure you include your units.

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

Answer:

a)The Area of the circle is 1962.5 millimeters ²

b) The radius of the circle is

5inches( in)

Step-by-step explanation:

a) The formula for the Area of a circle = πr²

The diameter of the circle was measured by Juan to the nearest millimeters = 5 centimeters

The first step is to convert 5cm to millimeters

1 centimetre = 10 millimeters

5 centimetres =

Cross multiply

= 5 × 10 millimeters

Therefore, 5 centimetres = 50 millimeters.

Since the Diameter of the circle = 50 millimeters,

Radius is calculated as Diameter ÷ 2

Therefore , the radius of the circle = 50 millimeters ÷ 2

= 25 millimeters.

The second step is to find the Area of the circle.

Area of the circle = πr²

Juan used 3.14 for π

Therefore , Area of the circle is calculated as:

= 3.14 ×(25millimeters)²

= 3.14 × 625 millimeters²

= 1962.5 millimeter ²

The Area of the circle is 1962.5 millimeters²

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

The formula to calculate the Area of a Circle is given as:

A( Area of a circle) = πr²

Since we are asked to find the radius of the circle in Part B, we can derive the formula to find the radius of a circle

A = πr²

r² = A ÷ π

r = √A÷ π

Therefore , the formula to find the Radius of a circle is given as :

r = √A ÷ π

Already given in the question are the following values :

Area of the circle = 78.5inches²

π = Michelle used 3.14

The radius of the circle

= r = √A ÷ π

r = √78.5 in² ÷ 3.14

r = √ 25

r = 5inches( in)

Therefore the radius of the circle is

5inches(in).

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3 years ago
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Sixty-three, 60 + 3, 9 x 7, 63
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What is X minus Y is less than seven
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We can represent a number in general by x . Halving a number means dividing it by two, so the expression that shows the half of a number is x2 , since you divide a number by two.

Step-by-step explanation:

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Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X. Show all work
aleksandr82 [10.1K]

Answer:

Equation of line is y=(12/5)x+2

Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

y=(12/5)*x+c, now to find c

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Equation of line is y=(12/5)x+2

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3 years ago
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