To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
For statement If p then q ,
Converse is If q then p.
Inverse :If not p then not q.
Contrapositive is:If not q then not p.
Given statement: If it rains, then the flowers bloom.
1) converse :If the flowers bloom, then it rained.
2) inverse :If it does not rain, then the flowers will not bloom.
3)contrapositive:If the flowers do not bloom, then it did not rain.
Answer:
k = 10
Step-by-step explanation:
the sum of any two interior angles is equal to the exterior angle of the unknown interior angle
4k+5 + 6k+10 = 115
10k + 15 = 115
10k = 100
k = 10
Answer:
x = 9
Step-by-step explanation:
y = 2/3x - 6
If the y point is 0, then plug that number into the equation and solve for x.
0 = 2/3x - 6
Add 6 to both sides of the equation.
6 + 0 = 2/3x - 6 + 6 or 6 = 2/3x
Multiply both sides by 3.
3 x 6 = 2/3x x 3 or 18 = 2x
Divide both sides by 2
18/2 = 2x / 2 or 9 = x
Answer:
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
Step-by-step explanation:
To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.
given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴
First, lets arrange like terms together. Put the terms with the same exponent together.
2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now combine the terms with the same exponent by subtracting 5x³ from 2x³.
-3x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now let's arrange the terms from increasing to decreasing powers/exponents.
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
This is your equation in standard form.
Hope this helps!
Answer:
I'm pretty sure the answer is -a²b and 5a²b
Step-by-step explanation:
