You have to use the Pythagorean theorem but there is a little twist here since a square has has equal sides. So:
x^2+x^2=8
2x^2=8
2/2x^2=8/2
x^2=4
√x^2=√4
x=2
The side of the square is 2.
So now the area of a square is:
Side×Side
2×2=4
The area of the square is 4 centimetres
Answer:
The cross multiplication would be 10(350) = 22(x).
Step-by-step explanation:
We would first convert meters to centimeters. There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.
The ratio of the height to base of the model is 10/22. The ratio of the playhouse would then be x/350. This gives us
10/22 = x/350
Cross multiplying, we would have 10(350) = 22(x).
You need to use a system of equations with 2 variables
where x= # of paintbrushes bought
and y= # of paint units bought
the first equation would be
.95x+.99y=4.87
Usually there is more information given in these problems so that you can make the second equation. Did the problem say how many total items were bought or anything else because given this information you cannot make a second equation and therefore cannot solve for both variables. Also, the wording is unclear, did she spend 4.87 on just paintbrushes or both brushes and paint.
Answer:
well, the cheap answer is
f(x) = -3| x - 1 | is really just f(x) = -3| x - 1 | + 0.
now, what value of "x" makes the absolute value expression to 0?
well, let's just set it to 0 and check,
x - 1 = 0
x = 1
so if "x" ever becomes 1, the | x - 1| will turn to 0, therefore, the vertex is at
f(x) = -3| (1) - 1 | + 0 --------------> ( 1, 0 )
There are 20 cups and each one holds 10 fluid ounces. Assuming that she wants to fill them all up to the brim and use the complete 10 fluid ounces for each cup this means she would have a total of 200 fluid ounces: 20 * 10 = 200
1 gallon = 4 quarts
1 quart = 32 fluid ounces
This means that for every gallon she has 128 fluid ounces: 1 gallon (4 quarts/1gallon)(32 fluid ounces/1 quart) = 128
This means she needs at least 200 fluid ounces and she must buy another gallon to satisfy this; 128 * 2 = 256 fluid ounces.
She needs to buy 2 gallons but will have an extra 56 fluid ounces
