Answer:
Y = 3/5x + 10...slope here is 3/5. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So we need a slope of -5/3
Step-by-step explanation:
y = mx + b
slope(m) = -5/3
(15,-5)...x = 15 and y = -5
now we sub for b, the y int
-5 = -5/3(15) + b
-5 = -25 + b
-5 + 25 = b
20 = b
so ur perpendicular equation is : y = -5/3x + 20
Answer:
Area of shape = 10.8 m²
Step-by-step explanation:
Given:
Length of rectangle 1 = 4000 mm = 4 m
Width of rectangle 1 = 1200 mm = 1.2 m
Length of rectangle 2 = [6200-1200] mm = 5 m
Width of rectangle 2 = 1200 mm = 1.2 m
Find:
Area of shape
Computation:
Area of shape = Area of rectangle 1 + Area of rectangle 2
Area of shape = [(4)(1.2)] + [(5)(1.2)]
Area of shape = 4.8 + 6
Area of shape = 10.8 m²
<span><span> (<span>x−8</span>)</span>2</span><span>=<span><span>(<span>x+<span>−8</span></span>)</span><span>(<span>x+<span>−8</span></span>)</span></span></span><span>=<span><span><span><span><span>(x)</span><span>(x)</span></span>+<span><span>(x)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(<span>−8</span>)</span><span>(x)</span></span></span>+<span><span>(<span>−8</span>)</span><span>(<span>−8</span>)</span></span></span></span><span>=<span><span><span><span>x2</span>−<span>8x</span></span>−<span>8x</span></span>+64</span></span><span>=<span><span><span>x2</span>−<span>16x</span></span>+<span>64
</span></span></span><span>(x−8)2=x2−82Step 1: Simplify both sides of the equation.x2−16x+64=x2−64Step 2: Subtract x^2 from both sides.x2−16x+64−x2=x2−64−x2−16x+64=−64Step 3: Subtract 64 from both sides.−16x+64−64=−64−64−16x=−128Step 4: Divide both sides by -16.−16x−16=−128−16x=8</span>
1,000,000 because since it is 100,000 the closest number is 1,000,000
Answer:
$49.52
Step-by-step explanation:
$12.38 x 4 = 49.52
