We are asked in the problem to determine the value of x in the equation <span>4x² + 2x = 7 using completing the square method. in this case,
</span><span>4x² + 2x = 7
x2 + 0.5 = 1.75
(x + 0.25)^2 - 0.0625 = 1.75
</span>(x + 0.25)^2 = 1.8125
<span>x+0.25=1.3462
</span>x1 =1.0963
x2 =-1.5962
Multiply 400 by 8% and add it to 400:
400 x 0.08 = 32
400 + 32 = 432
Answer: $432
Answer:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r = 
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r = 
= 
= 
= 
⇒ r² = ( )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Answer:
∠XVW = 36°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠WXY is an external angle to the triangle and
∠XVW and ∠VWX are the 2 opposite interior angles, thus
6x - 19 = x + 17 + 3x + 2, that is
6x - 19 = 4x + 19 ( subtract 4x from both sides )
2x - 19 = 19 ( add 19 to both sides )
2x = 38 ( divide both sides by 2 )
x = 19
Hence
∠XVW = x + 17 = 19 + 17 = 36°
There are no options to choose from above. Assuming the last numbers in the terms are exponents, this is what it should look like in descending exponent order.
3x^11 + 9x^7 + 5x^3 - x + 4
