The equation of a circle always follows this:
(x - x1) + (y - y1) = r^2
x1 and y1 represent the coordinates as POSITIVE numbers and the r represent the radius
Your answer is (x + 1) + (y - 4) = 3
Short answer = false
Remark
If it is a right triangle, it will obey the Pythagorean Equation. a^2 + b^2 = c^2. Let's see if it does.
Equation
a^2 + b^2= c^2
c must be the longest line. (Hypotenuse)
Givens
a = 24
b = 17
c = 40
Sub and Solve
a^2 + b^2 = c^2
17^2 + 24^2 = c^2 [We'll see if this comes out to 40]
289 + 576 = c^2
865 = c^2 which is no where near what 40^2 equals. 40^2 = 1600
Short answer False
Square root of 865 = (865)^1/2 = 29.4
30% of 90 <em>whenever it says "of" put in a multiplication sign </em>
30% x 90 <em> take out the % sign (percent means divided by 100)</em>
30/100 =3/10 <em>simplify,then multiply by 90</em>
3/10 x 90 = 270/10 <em> simplify</em>
270 = 27
90 - 27 = 63 <em>subtract 27 because it is the amount read so far from the total</em>
Keisha has to read 63 more minutes to reach her goal.
<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
Answer:
x = 4.1 cm
Step-by-step explanation:
To find x, apply pythagorean theorem, which is given as:
c² = b² + a²
Where,
c = 8.8 cm
b = ½(15.6) = 7.8 cm
a = x
Plug in the values
8.8² = 7.8² + x²
77.44 = 60.84 + x²
Subtract both sides by 60.84
77.44 - 60.84 = x²
16.6 = x²
Take the square root of both sides
√16.6 = x
x = 4.07430976
x = 4.1 cm (nearest tenth)
