Answer:
x < 1/6
Step-by-step explanation:
In the equation 10 – 2(3x – 1) > 6x + 10, start by using the distributive property. Once you've done that, you'd now get 10-6x+2 > 6x+10.
Now, add 10 and 2 togther to get -6x+12 > 6x+10.
Subtract 6x to both sides and subtract 12 to both sides and now you'll get
-12x > -2.
Now, divide each side by -12 to get x < 2/12 or 1/6. Notice how the sign is flipped since you divided by a -.
Answer:
The required polynomial is f(x)=
Step-by-step explanation:
Given that polynomial is passing through points (-1,-1) (0,7) ( 1,9) and (2,17)
Let, The required polynomial be f(x)=
For point (-1,-1)
f(x)=
f(-1)=
(-1)a+b-c+d=(-1) Equation 1
For point (0,7)
f(x)=
f(0)=
d=7 Equation 2
For point ( 1,9)
f(x)=
f(1)=
a+b+c+d=9 Equation 3
For point (2,17)
f(x)=
f(2)=
8a+4b+2c+d=17 Equation 4
Replacing value of d of equation 2 in equation 1,3,4
For equation 1:
(-1)a+b-c+d=(-1)
(-1)a+b-c=(-8)
For equation 3:
a+b+c+d=9
a+b+c=2
For equation 4:
8a+4b+2c+d=17
8a+4b+2c=10
Now,
On adding equation 1 and 3
For equation 1: (-1)a+b-c=(-8)
For equation 3: a+b+c=2
((-1)a+b-c)+(a+b+c)=(-8)+2
2b=(-6)
b=(-3)
Replacing value of b in equation 1 and 4:
For equation 1: (-1)a+b-c=(-8)
(-1)a+(-3)-c=(-8)
(-1)a-c=(-5) Equation 4
For equation 4: 8a+4b+2c=10
8a+4b+2c=10
8a+4(-3)+2c=10
8a+2c=22 Equation 5
For value of a and c:
Equation 4 can be write as
(-1)a-c=(-5)
a+c=5
a=5-c
Replacing value of a in equation 5
8a+2c=22
8(5-c)+2c=22
40-8c+2c=22
-6c=-18
c=3
So,
a=5-c=5-3=2
a=2
Thus,
The value of
a=2, b=(-3), c=3 and d=7
The required polynomial is
f(x)=
f(x)=
Let's start his with some trigonometry
Cos60=x/30
X=15
Now we can use Pythagorean therom
15^2+b^2=30^2
B(y)= 25.98
Answer:
5.35
Step-by-step explanation:
1.55 +3.80 = 5.35
Answer:
Perimeter = sum of length of all sides = 8 + 3 + 10 + 11 = 32
Area = (base1 + base2) x height/2 = (3 + 11) x 7/2 = 49
Hope this helps!
:)