Answer:
The answer is ± in exact form or , in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring , which will look like . Next, simplify the equation again, which will look like .
Then, use the quadratic formula to find the solutions. The quadratic formula looks like.
For this problem, the quadratic variables are as follows:
The next step is to substitute the values , , and into the quadratic formula and solve. The quadratic formula will look like . To simplify the equation, start by simplifying the numerator, which will look like . Then, multiply 2 by 1 and simplify the equation, which will look like . The final answer is ± in exact form. In decimal form, the final answer is , .
Sides of first rectangle are 12 inches and 6 inches
and sides of second rectangle are 10 inches and 5 inches
So to find the ration of sides we can do
Ratio of bases = 12/10 = 6/5
Ratio of altitudes = 6/5
Area of first rectangle = base * altitude = 12 *6 = 72 square inches
If you imagine it like the picture below, you could use the pythagorean theorem to solve for x
Answer:
d=32!!!
Step-by-step explanation:
So first rewrite it as an equation: d/4+12=20
d/4+12=20 then subtract 12 from both sides to balance the equation
d/4=8 so multply both sides by 4 to isolate the variable, 4(d/4)=d =d and 8x4=32, so d=32
Percent is parts out of 100 so
45%=45/100=9/20
'of' means multiply
18 =9/20 times something
multiply both sides by 20/9 to clear fraction
360/9=something
40=something
the value is 40