Answer:
see explanation
Step-by-step explanation:
f(x) is valid for all real values of x , so
domain is x ∈ R
Since the coefficient of the x² term < 0 , then
f(x) has a maximum vertex at (0, 5 )
range is ( - ∞ , 5 ]
Answer:
Combine points A with C and A with B. Consider ΔABD and ΔACD:
1. AD is common side, then AD\cong AD;
2. CD\cong BD - given in the diagram;
3. \angle ADB\cong \angle ADC .
By SAS Postulate, \triangle ABD\cong \triangle ACD . Congruent triangles have congruent corresponding sides and congruent corresponding angles, so AC\cong AB .
From this proof you can see that correct choice is option D (In triangles ABD and ACD, two sides and an included angle are equal.)
Step-by-step explanation:
Answer:
20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
Answer:
P(green) =1/4
P(orange)=1/2
Step-by-step explanation:
I'm assuming this is probability but it\s been a while, so i'm not sure
number one is a square being divided into half and then one half is being divided into quarters. (as shown by the dotted lines and right angle)
so the probablity of landing in green is 1/4, because it is one fourth of the square.
the probability of the orange is 1/2 because it is 1/2 of the square
The same logic would apply to the "circle" i can see in the next problem. 120 degrees is 1/3 of 360, 90 is 1/4, and so on.
Hope that helps.
2 5/7 as a decimal is approximately 2.70
We know that the ones place will be a two. That doesn’t change when you convert. Next you need to divide 100 by 7, which equals 14. Then you need to do 14 times 5, which equals 70. So, now you know the values after the decimal point (.70). Combine that with the whole number 2 to get 2.70.