Answer:
12 m
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . . b represents the base; h represents the height
We are told that the height is 5 m less than the base, so we have ...
42 = (1/2)(b)(b -5)
84 = b(b-5) . . . . . . . . multiply by 2
We want two factors of 84 that differ by 5. The factors are ...
84 = 1·84 = 2·42 = 3·28 = 4·21 = 6·14 = 7·12
The relevant factors are 7 and 12, so now we know b-5 = 7 and b = 12.
The length of the base is 12 m.
Convert into point slope form
6x-2y=12
-2y=-6x+12
y= 3x-6
Final answer: slope= 3, y intercept= -6
Answer:
a) 863.6miles b) 37.6 gallons
Step-by-step explanation:
1) 380/22=17.27- miles can be driven due to 1 gallon
a) 380/22*50=863.6
b)650/380/22=37.6
Answer:
Monday: 90
Tuesday: 24
Step-by-step explanation:
The baker makes 90 muffins on Monday. The baker makes 24 muffins on Tuesday.
Answer:
4 times
Step-by-step explanation:
1 quart is equivalent to 32 fluid ounces.
If each eruption consumes 8 fluid ounces of vinegar. Assuming that the amount of vinegar required per eruption is constant, the number of times Tanvi can make her volcano erupt is:
Tanvi can make her volcano erupt 4 times with 1 quart of vinegar.