Answer:
Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet.
Step-by-step explanation:
Answer:
y=
x-2
Step-by-step explanation:
Slope intercept form is a way to describe a function using its slope and y-intercept and is written as y=mx+b.
m=slope
b=y-intercept
Looking at the graph we can see it goes through x=0 at y=-2 making -2 the y-intercept.
Then we must solve for slope, slope is rise/run. From the point (0,-2) the function travels to (7,0).
This gives us a rise (change in x) of 2 and a run (change in y) of 7 and 2/7 as our slope.
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
I'm guessing the diagram shows a ladder leaning against a wall, making a right angle triangle with respect to the ground and the wall.
So, the wall's height is going to be the 'h', which will also be the 'opposite side' from the angle <span>ϴ which is made from the ladder and the ground.
</span>The ladder's length (18 foot) is going to be the 'hypotenuse' side and the other remaining side will be the 'adjacent'.
Now, once you've sorted out which side is which, we have to find the h (opp), and according to SOH CAH TOA, we will choose Sin<span>ϴ = opp/hyp.
</span>so Sinϴ = h/18....now we gotta find h, so 'cross multiply' the equation to get h = 18 x sin<span>ϴ.
</span>
To find angle ϴ, simply take the inverse of Sinϴ= h/18... and you'll get ϴ = sin-1 (sin inverse) h/18
Hope this helps
So what you do is subtract 4b on both sides so it will be -ax=9+4b then divide x on both sides and you have your answer
