The terms accurately describes the triangle which Kristin drew with 2 congruent sides and 1 obtuse angle are obtuse and isosceles triangle.
A triangle is the closed polygon, which has three sides and three angles.
On the basis of angles of a triangle, the triangle can be divided into 3 types as,
Kristin drew a triangle with 2 congruent sides. This two equal sides make the triangle Isosceles.
Her triangle has 1 obtuse angle. This makes his triangle Obtuse. Thus, she drew an obtuse Isosceles triangle.
Thus, the terms accurately describes the triangle which Kristin drew with 2 congruent sides and 1 obtuse angle are obtuse and isosceles triangle.
Learn more about the type of triangle here;
Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
Answer:
Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).
Step-by-step explanation:
Answer:
Answer D
Step-by-step explanation:
The solution to the inequality 2x³ – 3x² – 14x ≥ 0, as indicated by the graph provided, is given by the intervals of x where the function is increasing. Therefore, the solution is comprised of the intervals [-2, -1] and [3.5, ∞].
The solution to 2x³ – 3x² ≥ 14x can be found by solving the inequality. First, let's rearrange the inequality to: 2x³ – 3x² – 14x ≥ 0. This equation represents where the function is positive (above the x-axis) on the graph. Therefore, we must identify the intervals of x where the function increases or decreases.
Based on the description of the graph, the function increases in the intervals (-2, -1) and (3.5, ∞) and decreases in the interval (-1, 3.5). So, the solution to the inequality would be the union of the intervals where the function increases: [-2, -1] U [3.5, ∞].
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Answer:
2d^2 + 6d - 7.
Step-by-step explanation:
Answer:
you have to put in the answers.
Answer:
$385.00 = $85.00 * 3.647 + $75.00
Step-by-step explanation:
The equation that best represents the situation is:
Total Cost = Hourly Rate x Repair Time + Diagnosis Fee
In this case, the hourly rate is $85.00 and the diagnosis fee is $75.00. We are given that the total cost is $385.00. Let's represent the repair time as "t" in hours.
So, we can write the equation as:
$385.00 = $85.00 * t + $75.00
To solve for the repair time "t", we need to isolate the variable.
First, we subtract $75.00 from both sides of the equation:
$385.00 - $75.00 = $85.00 * t
Simplifying, we get:
$310.00 = $85.00 * t
Next, we divide both sides of the equation by $85.00 to solve for "t":
$310.00 / $85.00 = t
Using a calculator, we find that t is approximately 3.647, which means the repair time is approximately 3.647 hours.
Therefore, the equation that best represents the situation is:
$385.00 = $85.00 * 3.647 + $75.00
$121.50 for working 18 hours
if 9 to the power of x = 27, what is x. Method as well plz!