Answer:
<h2>8.3 in²</h2>
Step-by-step explanation:
We have
three triangles with the base <em>b = 2 in.</em> and the height <em>h₁ = 2.2 in.</em>
one triangle with the base <em>b = 2 in. </em>and the height <em>h₂ = 1.7 in.</em>
The formula of an area of a triangle:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
Substitute:
Answer:
Step-by-step explanation:
It is a linear homogeneous differential equation with constant coefficients:
y" + 4y = 0
Its characteristic equation:
r^2+4=0
r1=2i
r2=-2i
We use these roots in order to find the general solution:
Answer:
Brian have £105 left.
Step-by-step explanation:
Given,
Amount earned by Brian per week = £168
Fraction spent on rent = 1/8
Amount spent on rent = 1/8 x 168
Amount spent on rent = £42
Fraction spent on food = 1/8
Amount spent on food = 1/8 x 168
Amount spent on food = £21
Amount left = Amount earned - amount spent on rent - amount spent on food
Amount left = 168 - 42 - 21
Amount left = £105
Brian have £105 left.
I hope this helps you
(-5)(-9) because a negative times a negative equals a positive.
Answer:
y = -15
x = -10
Step-by-step explanation:
1/4x - 1/2 = 5 (1)
3x + 2/3y = -40 (2)
Multiply (1) by 4
1/4x - 1/2 = 5
1/4x * 4 - 1/2y * 4 = 5 * 4
4/4x - 4/2y = 20
x - 2y = 20 (3)
Multiply (2) by 3
3x + 2/3y = -40 (2)
3x * 3 + 2/3y * 3 = -40 * 3
9x + 6/3y = -120
9x + 2y = -120 (4)
x - 2y = 20 (3)
9x + 2y = -120 (4)
Using elimination method, Add (3) and (4)
9x + x = -120 + 20
10x = -100
x = -100/10
x = -10
Substitute x = -10 into (3)
x - 2y = 20 (3)
-10 - 2y = 20
-2y = 20 + 10
-2y = 30
y = 30/-2
y = -15
y = -15
x = -10
