Answer:
Ginny made a mistake in step 1 when she identified b = 31. It should be b=-31
Step-by-step explanation:
Ginny factored
as shown:
ac = –180 and
b = 31
36(–5) = –180 and 36 + (–5) = 31
+ 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
b is the coefficient of x and from the trinomial
, b=-31.
Therefore Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
The correct steps are:
:
ac = –180 and
b = -31
36(–5) = –180 and -36+5 = -31


Answer:
4:10, 2:5 16:40
Step-by-step explanation:
just multiply or divide
Answer:
<em>2,136,605</em>
<em />
Step-by-step explanation:
To estimate growth, we use the formula shown below:

Where
F is the future amount (we want to find for Jan 2024)
P is the present amount (present population of 1,988,817)
r is the rate of growth (0.9% means 0.009)
t is the time in years (from Jan 2016 to Jan 2024 is 8 years, t = 8)
<em>Let's put these into the formula and figure out F:</em>
<em>
</em>
<em />
<em>Rounding we get the population in Jan 2024 to be </em><em>2,136,605</em>
Unless I am misreading, the question, or don't know all of it, there can be an infinite number of similar shapes. Three are give to you at the bottom of this answer, but there are many more possibilities.
Answer:
129
Step-by-step explanation:
If three lines CD, CE and CF extend from point C, then the following addition postulate is true;
<DCE + <ECF = <DCF
If the space between line C D and C E is 75 degrees, then <DCE = 75
If the space between lines C E and C F is 54, then <ECF = 54.
Substitute the given values into the expression above will give;
<DCF =<DCE + <ECF
<DCF = 75+54
<DCF = 129
Hence the measure of <DCF is 129°