MATHEMATICS
HIGH SCHOOL

b. Like polynomial terms

c. Like radical terms

d. Like fractional terms

Answer:

Answer:

The answer is option C- Like radical terms

Step-by-step explanation:

Two radical expressions are called like terms if they have the same degree and the same radicand.

So, like radical terms ,best describes terms that have the same degree and the same radicand.

Like radicals are those, that have the same root number and radicand.

Answer: It is d like fractional terms.

COLLEGE

Omar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Omar $4.85 per pound, and type B coffee costs $5.95 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $519.25 . How many pounds of type A coffee were used?

27 pounds of Type A coffee

MIDDLE SCHOOL

Eight minus the quotient of two and a number x

-4/x

negitive: 4 over x

hope this helps

MIDDLE SCHOOL

Solve the quadratic equation: 2x2 + 11x − 6 = 0

Answer:

see explanation

Step-by-step explanation:

To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term.

product = 2 × - 6 = - 12 and sum = + 11

The factors are + 12 and - 1

Use these factors to split the middle term

2x² + 12x - x - 6 = 0 ( factor the first/second and third/fourth terms )

2x(x + 6) - 1(x + 6) = 0 (factor out (x + 6) )

(x + 6)(2x - 1) = 0

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

2x - 1 = 0 ⇒ x =

COLLEGE

The vertices of quadrilateral COAT are C(0,0), O(5,0), A(5,2) and T(0,2). Prove that COAT is a rectangle. All i need is for someone to solve it using slope formula, and explain why it works. I've tried it myself, but i really want an outside source to see if i got it right, and my reasoning correct.

So to prove this you have to show lines matching the points on both sides are parallel, or just draw the thing, and prove that the opposite lines are parallel. To get the slope of a line between to lines you use the formula (y1-y2)/(x1-x2), with point 1 (x1,y1) and point 2 (x2, y2). Check the slope for the opposite sides, and if these are the same, it is a rectangle. The slope of the line between C and O will then be (0-0)/(5-0), or 0, and the opposite would then be AT, so then (2-2)/(5-0), so 0 as well. We are half way there! Next we have OA, which would be (0-2)/(5-5), which is -2/0. If we get a 0 in the denominator, that means the line is vertical. And OA's match is CT, which is (0-2)/(0-0), which is vertical as well. This means it is a rectangle, as the matching sides all were parallel. (vertical = vertical, and 0 = 0) (btw slope of 0 is horizontal).