1. If it is not raining, then I will not carry an umbrella.
2. If two perpendicular lines do not intersect, then they do not form four 90° angles.
3. If <EAD is 80°, then that means <DAB is 100°, because they equal 180°.
4. A pair of congruent angles are <EAC and <DAB
Answer:
C
Step-by-step explanation:
Two secants drawn to a circle from a common external point, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
5(5 + x) = 4(4 + 10) = 4 × 14 = 56
25 + 5x = 56 ( subtract 25 from both sides )
5x = 31 ( divide both sides by 5 )
x = 6.2 → C
Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.
According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)
=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
Answer:
y=2x-5
Step-by-step explanation:
First simplify: y-1=2x-6
y-1=2(x-3)
First simplify and distribute everything.
<u>y-1=2x-6</u>
So, x equals 2 because it got distributed into the numbers inside the parenthesis. Same with the 2 and -3. They multiplied to become -6.
Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.
<u>y - 1 (+ 1) = 2x -6 (+ 1)</u>
-1(+1)=0 which leaves just the variable y on the <em><u>left side</u></em>.
-6(+1)=-5 which leaves 2x-5 on the <em><u>right side</u></em>.
This results in y=2x-5. Hope this helped ;)
Let the total # of reg. docs. be t. Then 0348t = 43100. Solve this for t:
43100 docs
t = ------------------- = 123,851 (rounded up from 123850.57)
0.348
