Answer:
⇒ The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0
∴ We get, a=1b=−k,c=9
⇒ It is given that roots are real and distinct.
∴ b2−4ac>0
⇒ (−k)2−4(1)(9)>0
⇒ k2−36>0
⇒ k2>36
⇒ k>6 or k<−6
∴ We can see values of k given in question are correct.
Answer:
50°, 60°, 70°
Step-by-step explanation:
Sum the parts of the ratio, 5 + 6 + 7 = 18 parts
The 3 angles in a triangle sum to 180° , then
180° ÷ 18 = 10° ← value of 1 part of the ratio, then
5 parts = 5 × 10° = 50°
6 parts = 6 × 10° = 60°
7 parts = 7 × 10° = 70°
The angle measures of the triangle are 50° , 60° , 70°
Answer:
Half the age of Carlos four years ago is 2 years more than one-third his current age.
Step-by-step explanation:
We want to write a word problem for the equation.

Let x represent the present age of Carlos.
Four years ago, Carlos was x-4 years.
Half his age four years ago is ½(x-4)
Two years more than one-third his current age is ⅓x+2
It’s negative 4 because the scale shows there is 4 lines
Answer: 7/8
Cos2x has 3 formulas, Sinx is given in the question, we should use the formula with sinus. I guess that's the solution.