Answer:
y+(21)=-4(x-7)
Step-by-step explanation:
the point slope equation , two point
m=y2-y1/x2-x1
m=23+21/-4-7=44/-11= -4
y+(21)=-4(x-7)
Answer:
18+12.125π units²
Step-by-step explanation:
The diameter of the semicircle can be found by the use Pythagoras theorem.
Δx²+Δy²=d²
Δx=3--1=4
Δy=3--6=9
d²=4²+9²
d=√(16+81)
Area=πr²/2
=π×(√(16+81)/2)²÷2
=[π×(97)/4]/2
=97π/8
=18+12.125π units²
97π/8 is equivalent to 18+12.125π units²
-5m - 6 >= 24
Add six on both sides
-5m >= 30
Divide by negative five on both sides
m >= -6
(2x^2-4x-3)(3x+1)
Expand
<span><span>(<span><span><span>2<span>x^2</span></span>+<span>−<span>4x</span></span></span>+<span>−3</span></span>)</span><span>(<span><span>3x</span>+1</span><span>)
Cross multiply
</span></span></span><span><span><span><span><span><span><span><span>(<span>2<span>x2</span></span>)</span><span>(<span>3x</span>)</span></span>+<span><span>(<span>2<span>x^2</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(1)
Simplify</span></span></span></span><span><span><span><span><span><span><span>6<span>x^3</span></span>+<span>2<span>x^2</span></span></span>−<span>12<span>x^2</span></span></span>−<span>4x</span></span>−<span>9x</span></span>−3
Simplify</span></span><span><span><span><span><span>6<span>x^3</span></span>−<span>10<span>x^2</span></span></span>−<span>13x</span></span>−3 is your answer</span></span>
