Direct variation is y=kx, inverse variation is y=k/x....
-5y=-2x divide both sides by -5
y=2.5x
So this is a direct variation with a constant of 2.5
Answer:
x = - 2
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
Where c is the value of the x- coordinates the line passes through.
The line passes through (- 2, - 3) and (- 2, 2)
Both of these points have an x- coordinate of - 2, thus
x = - 2 ← equation of line
Answer:
x^2+7x=30
x^2+7x-30=0
Here a=1,b=7 and c=-30
Now,
Discriminant(D)=b^2-4ac
=7^2-4×1×(-30)
=49+120=169
By applying Quadratic formula
x=-b+- root over b^2-4ac÷2a
=-7+- root over D ÷ 2×1
=-7 +- root over 169 ÷2
=-7 +- 13 ÷2
Now,
Either x=-7+13÷2=6÷2=3
Or x=-7 -13 ÷2=-20÷2=-10
Hence, ans is (C) x=-10 and x=3
<em> x₁ = - 1</em>
<em> x₂ = 2</em>
- Step-by-step explanation:
<em>2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0</em>
<em>2²ˣₓ2 - 9ₓ2ˣ + 4 = 0</em>
<em>2ˣ = n</em>
<em>2n² - 9n + 4 = 0</em>
<em>2n² - n - 8n + 4 = 0</em>
<em>n(2n - 1) - 4(2n - 1) = 0</em>
<em>(2n - 1)(n -4) = 0</em>
<em>2n - 1 = 0 => n₁ = 1/2</em>
<em>n - 4 = 0 => n₂ = 4</em>
<em />
<em>2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1</em>
<em>2ˣ = 4 => 2ˣ = 2² => x₂ = 2</em>
