Answer: (x - 6)(x + 1)
Step-by-step explanation: This trinomial has an x² term, an x term and a constant term so it can be factored as the product of two binomials.
So starting with our two sets of parentheses, x² factors as x multiplied by x. Now we want to find factors of the constant term that add to the coefficient of the middle term. So we're looking for factors of -6 that add to -5.
A negative number factors into the product of a positive and a negative. So our factors of -6 are 6 × -1, -6 × 1, 3 × -2, or -3 × 2.
This is a trick problem because many of these pairs of factors look like they could add to -5 but the only one that does is -6 × 1.
So our answer is (x - 6)(x + 1).
Answer:
In order to solve a right triangle, you must first figure out which angle is the right angle. Knowing the right angle will also tell you which side is the hypotenuse, since the hypotenuse will always stand opposite the right angle. In this text, for the sake of consistency, in all triangles we will designate angle C as the right angle, and side c and the hypotenuse. To finish solving a right triangle, you then must either know the lengths of two sides, or the length of one side and the measure of one acute angle. Given either of these two situations, a triangle can be solved. Any further information about a triangle may be helpful, but it is not necessary.There are four basic techniques to use in solving triangles.Using the Pythagorean Theorem, once two sides are known, the third side can be calculated.Using the fact that the acute angles of a right triangle are complementary, once one acute angle is known, the other can be calculated.Using the definitions of the trigonometric functions, any two parts of a triangle can be related in an equation to equal a third part.Using the definitions of the inverse trigonometric functions, any two sides of a triangle can be related in an equation to equal the inverse function of an unknown acute angle
Step-by-step explanation:
Let's change Jeff to Geoff so we have salaries
Translating into symbols, ignoring the irrelevant work histories,
f=3g
m=50000
j=60000
w=2m
g= (3/4) m
Solve for f
j seems unconnected and we can ignore w too.
f=3g = 3(3/4) m = 3(3/4) (50000) = 112500
Frank's salary is
Answer: $112,500
Answer:
I believe its 4.8, which is confusing seeing as its not an option.
Step-by-step explanation:
If he ran 24 miles in 5 days, divide 24 by 5 to get your answer.