Answer:
AD is Congruent to BC and it's given, (given just means that it was already said or stated, and you don't need to do the work to find it) Angle DAC would be congruent to angle BAC (if that doesn't work, rearrange them to look like angle CAB). AC would be congruent to DB. Triangle ADC would be congruent to triangle BCD by (since i don't know exactly which way the letters are arranged is would either be SAS or SSA) and that's because you know two of the sides are congruent to each other and one angle.
I tried hard to sketch out what the shape looked like based on the information given, and that's because I need a visual of what the shape looks like. Sorry, this took so long to answer.
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Answer:
See explanations below
Explanation:
Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)
The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75
x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5
To get the minimum, we will use the formula;
c - b^2/4a
The equation of the curve is expressed as;
(x-0)(x-2.5)
= x (x-2.5)
= x^2 - 2.5x
a = 1, b = -2.5, c = 0
minimum = 0 - (-2.5)^2/4(1)
minimum = -6.25/4
minimum = -1.5625
Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5
y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.
Answer:
Option b) 
Step-by-step explanation:
We are given the following information in the question:
Total number of marbles = 65
Number of green marbles = 17
We have to find the probability of drawing 2 green marbles at random without replacement.
Formula:
Option b)
Answer:
3x^6 - 4x^5 + 2x^4
Step-by-step explanation:
Given
-5x^4 ( -3x^2 + 4x - 2)
Step 1 : open the bracket with -5x^4
-5x^4 * -3x^2= 15x^6
Hint: - * - = +
x^4 * x ^2 = x^ 4+2 = x^6
-5x^4 * + 4x = - 20x^5
Hint: - * + = -
x^4 * x = x^4 + 1 = x^5
(x is always raise to the power of 1 but we don't write it or less it is greater than 1 e.g. 2 , 3 ,4, ..........)
-5x^4 * -2 = 10x^4
Hint: - *- = +
Let's combine the answers
15x^6 - 20x^5 + 10x^4
We can look for a factor that can go through as in that can divide all without a reminder
Factors of
15 - 3 * 5
1 * 15
20 - 4 *5
2 *10
1 * 20
10 - 2*5
1 * 10
Since the factor of 5 is common in all, so we are using 5 to divide through
15x^6 - 20x^5 + 10x^4
Using 5 to divide through
15x^6 / 5 - 20x^5 / 5 + 10x^4 / 5
= 3x^6 - 4x^5 + 2x^4
