Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
Answer:
Negative one
Step-by-step explanation:
Standard form is when you write out the number.
ex. 45 is forty-five
102 is one hundred two
Hope this helps!
Answer:
510
Step-by-step explanation:
Sally bank account had a beginning balance of 230
She made two deposits of 50 and 420
50+420
= 470
She made a withdrawal of 190
Therefore her balance at the end of the month can be calculated as follows
470+230
= 700
= 700-190
= 510
Hence the balance at the end of the month is 510
Answer:
3x + 24
Step-by-step explanation:
Given that;
Company owns two manufacting plants with the following daily production levels :
PLANT A:
8x + 17 widgets
PLANT B:
5x - 7 widgets
Where x = minimum quantity
How many more items does the first plant produce daily than the second plant?
Subtract the Plant B's production level from plant A
8x + 17 - (5x - 7)
8x + 17 - 5x + 7
Collecting like terms
8x - 5x + 17 + 7
3x + 24
Hence, the number of items the first plant produce daily than the second plant is :
3x + 24
