Answer:
x=-4
Step-by-step explanation:
−3(7−2x)+3=8x−10
Step 1: Simplify both sides of the equation.
−3(7−2x)+3=8x−10
(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)
−21+6x+3=8x+−10
(6x)+(−21+3)=8x−10(Combine Like Terms)
6x+−18=8x−10
6x−18=8x−10
Step 2: Subtract 8x from both sides.
6x−18−8x=8x−10−8x
−2x−18=−10
Step 3: Add 18 to both sides.
−2x−18+18=−10+18
−2x=8
Step 4: Divide both sides by -2.
−2x
−2
=
8
−2
x=−4
Ans: about 5000 feet
Explanation: 10000 divided by 2 = 5000 feet (estimate)
Answer:
Sum of cubes identity should be used to prove 35 =3+27
Step-by-step explanation:
Prove that : 35 = 8 +27
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Sum of the cubes identity:
Take RHS
8+ 27
We can write 8 as 
and 27 as 
.
then;
8+27 = 
Now, use the sum of cubes identity;
here a =2 and b = 3
or
= LHS proved!
therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27
4a=20⇒a=5
we know diagonals are perpendicular. if u look at one of the right triangles, you can see that for hypotenuse to be 5, the legs have to be 4 and 3 to satisfy the given ratio 4:3.
so, diagonals are 8 and 6 as we know that diagonals bisect each other.
Area=8*6/2=24
Slope= y/x so first let’s find the difference in the y coordinates. -6 and 3. -6 + 9= 3
So far we have 9/x, now on to the x coordinates. -3 and 0, -3 + 3 = 0
9/3 is the slope
now simplify and the slope is 3
