The answer is 6
3x-12-x-5=2x-11
2x-17=2x-11
=6
Answer:
f(x) = x² +x -6
Step-by-step explanation:
The standard form will look like ...
f(x) = x² +bx +c
where b is the opposite of the sum of the roots, and c is their product.
f(x) = x² -(-3+2)x +(-3)(2)
f(x) = x² +x -6
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<em>Additional comment</em>
In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).
Answer:
f(r) = 2πr
Step-by-step explanation:
You know the formula for circumference in terms of radius is ...
C = 2πr
You are being asked to write this as a function named "f". That will be ...
f(r) = 2πr
<h3>
Answer: choice B) counterclockwise rotation of 90 degrees around the origin</h3>
To go from figure Q to figure Q', we rotate one of two ways
* 270 degrees clockwise
* 90 degrees counterclockwise
Since "270 clockwise" isn't listed, this means "90 counterclockwise" is the only possibility.
Answer:
5229 mm³
Step-by-step explanation:
Volume of square pyramid
b = base length = 25 mm
H = height
We have to find 'H' using Pythagorean theorem,
slant height (hypotenuse) = 28 mm
leg₁ = base length ÷ 2 = 25÷2 = 12.5
leg₂ = H
H² + (12.5)² = 28²
H² = 784 - 156.25
= 627.75
H = 25.01 mm
= 5229 mm³
