Answer: C
Step-by-step explanation:
Looking at the triangle, we see that the angles are the same. This tells us the triangle is an isosceles triangle. That means the two adjacent sides are equal to each other.
4x+23=10x-1 [subtract both sides by 4x]
23=6x-1 [add both sides by 1]
24=6x [divide both sides by 6]
x=4
Now, we know that x=4.
The quadratic equation
can be written in the form:
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.
Answer:
254 cubic feet.
Step-by-step explanation:
It is given that the a cylindrical tank is 6 feet across and 9 feet deep. It means
Diameter of cylinder = 6 feet
Radius of the cylinder = 6/2 = 3 feet
Height of the cylinder = 9 feet
The volume of a cylinder is
where, r is radius and h is height of the cylinder.
Substitute r=3 and h=9 in the above formula.
We need to find the maximum number of cubic feet. So approx the value to a whole number.
Therefore, the maximum number of cubic feet of paint the tank will hold is 254 cubic feet.
Answer:
I don't get it
Step-by-step explanation:
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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