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.
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =
factoring with leading coefficient:
for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4
replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)
answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>
Answer:
60 degrees
Step-by-step explanation:
The angles all have to add up to 180, so you can do
Given
The parallelogram,
To find the area of the parallelogram.
Explanation:
It is given that,
The base of the parallelogram is 10 inches.
And, the height of the parallelogram is 5 inches.
Therefore,
Hence, the area of the given parallelogram is 50 in^2.
The domain of the function is x ≤ 6.88
The domain of the function is y ≤ 20
<h3>Domain and Range</h3>
- These are input and output values for which the function exists
Given the function of x expressed as:
y = 3.5x + 2.8
The domain occurs at the point where 3.5x + 2.8 ≤ 20
3.5x ≤ 20 - 2.8
3.5x ≤ 17.2
x ≤ 6.88 - Domain
This given the domain of the function.
The range of the function is the point where y ≤ 20
Learn more on domain and range here: brainly.com/question/2264373
