1. Let's solve your equation step-by-step.
<span><span><span>4x</span>+5</span>=<span>6x
</span></span>Step 1: Subtract 6x from both sides.
<span><span><span><span>4x</span>+5</span>−<span>6x</span></span>=<span><span>6x</span>−<span>6x
</span></span></span><span><span><span>−<span>2x</span></span>+5</span>=0
</span>Step 2: Subtract 5 from both sides.
<span><span><span><span>−<span>2x</span></span>+5</span>−5</span>=<span>0−5
</span></span><span><span>−<span>2x</span></span>=<span>−5
</span></span>Step 3: Divide both sides by -2.
<span><span><span>−<span>2x/</span></span><span>−2 </span></span>=<span><span>−5/</span><span>−2
</span></span></span><span><span>
</span></span>Answer:<span>x=<span>5/<span>2</span></span></span>
The surface of the triangle count formula
A = b*h*1/2
A - area
b - base
c - height
The 1st triangle
A₁ = b₁*h = 6in * 8in *1/2= 24in²
The 2nd triangle
A₂ b₂*h = 10in * 8in*1/2 = 40in²
The total area of the two triangles is 24in² + 40in² = 64 square inches
Answer:
Step-by-step explanation:
Given
The given equation is a differential equation
By separating variable
⇒
Now by taking integration both side
⇒
Where C is the constant
from above equation we can say that
When t will increases in positive direction then will decreases it means that will increases, so y will decreases. Similarly in the case of negative t.
So first calculate the time between the plane flied over the Air Force Bases (AFB) and Navy Base Station (NBS):
(time passed Air Force Bases) - (time passed Air Force Bases) = 10:32 - 10:20 = 12 mins
Since we know the distance that plane travel from AFB to NBS is 120 miles and the plane traveled that distance within 12 minutes.
We have
120 miles / 12 minutes = 10 miles / minute
Calculate it into miles per hour (60 minutes):
10 miles/minute x 60 minutes = 600 miles per hour.
ANSWER : 600 mph
The dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.
Given that the length of the previous deck = 15 feet
The width of the previous deck = 12 feet
Since the new deck will add 5 feet to the length and 4 feet to the width,
The length of the new deck = 15 + 5 = 20 feet
The width of the new deck = 12 + 4 = 16 feet
Also given that a drawing of the new deck uses a scale of 1 inch = 2.5 feet.
So, The length of the deck in the drawing = 20/2.5 inches = 8 inches
The width of the deck in the drawing = 16/2.5 inches = 6.4 inches
Therefore, the dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.
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