Decomposing a fraction means to take it apart, the most basic way to decompose a fraction is to break into unit fractions, thats all I know so far
MN is congruent to PO because triangles MPO is congruent to ONM by SAS, then corresponding sides and angles are congruent. So when two triangles are congruent corresponding sides and angles are congruent. This is reason that
Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
Hello from MrBillDoesMath
Answer: y = 3x -10
Discussion
:
Since the line is parallel to y = 3x + 7, the lines have the same slope. This means the point intercept of the parallel line is
y = 3x + b
As the new lines passes through (2, -4). substitute the x and y values of that point in the new equation:
(-4) = 3 (2) + b =>
-4 = 6 + b => (subtract 6 from each side)
-4 -6 = (-6 + 6) + b =>
-10 = 0 + b =>
b = -10
y = 3x -10 is the equation of the parallel line
Thank you,
Mr. B
Answer:
Speed of the slower truck = 57.5 miles/hour
Speed of the faster truck = 62.5 miles/hour
Step-by-step explanation:
Using missing information;
Assume;
Speed of the slower truck = a
Speed of the faster truck = a + 5
Distance traveled by the slower truck = d
Distance traveled by the faster truck = 600 - d
So,
a(5) = d ........ Eq1
(a+5)(5) = 600 - d
5a + 25 = 600 - d
So,
5a + 25 = 600 - 5a
10a = 575
a = 57.5
Speed of the slower truck = 57.5 miles/hour
Speed of the faster truck = a + 5
Speed of the faster truck = 57.5 + 5
Speed of the faster truck = 62.5 miles/hour
