Answer:
x= -6
Step-by-step explanation:
equation: -10 - 2x = 2x + 14
subtract 14 from both sides: -24 - 2x = 2x
add 2x to both sides: -24 = 4x
divide both sides by 4: -6 = x
The answer is <span>252.5 ft
</span><span>y = –0.004x</span>²<span> + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:
</span>–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0
a = -0.004
b = 1
c = 2.5


Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft
Answer:
C. 98
Step-by-step explanation:
The sum of angles interior to a triangle is 180°, so you have ...
x + 38° + 44° = 180° . . . the sum of the angles (this is your equation)
x + 82° = 180° . . . . . . . . collect terms
x = 180° -82° . . . . . . . . . subtract 82° from both sides of the equation
x = 98° . . . . . . . . . . . . . . do the arithmetic
_____
<em>Comment on the equation</em>
The relations you learn about in math and geometry can all be translated to equations. When you learn "something" <em>is</em> "something else", anytime you have "something", you can always write the equation ...
something = (something else)
When you find out "the sum of angles" is "180 degrees", that means you can write the equation ...
(sum of angles) = 180°
Of course, you find a sum by adding things up. In this case, you're adding up the values of the angles: x, 38°, 44°. The next step is to use the rules of algebra to solve the equation for x.
Answer:
240
Step-by-step explanation:
Assign Variables:
(I will choose mine a little bit differently)
d = length of garden
d = 20 feet
w = width of garden
A = area of garden
Equations and Solution:
A=d%2Aw and perimeter given as 64 feet means 2d%2B2w=64.
We know what is the d value, so we want to solve for w.
-
2w=64-2d
w=32-d
w=32-20
highlight%28w=12%29 feet
-
FINDING AREA VALUE
A=d%2Aw
A=20%2A12
highlight%28A=240%29 square feet
Answer:
a) An event with probability 0 is said to be impossible
b) An event with probability 1 is said to be certain
c) The probability of getting a head when flipping an unbiased coin is shown by the letter A
Step-by-step explanation:
a) If something has a 0 on a probability scale, it will never happen. The word used to describe this outcome is impossible.
b) If something has a 1 on a probability scale, it will always happen. The word used to describe this outcome is certain.
c) The probability of getting a head on an unbiased coin is
or
. This means that we are looking for the letter that is in the exact center of 0 and 1. It can be seen that A is in the dead center of these two numbers, so this is our answer.