I can’t see it it’s blurry to me
Answer: False
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Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.
Answer:
The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in
Step-by-step explanation:
we know that
The dimensions of the garden in the actual are 10 ft by 5 ft
The dimensions of the garden on the scale drawing are 12 in. by 6 in
step 1
Find the scale factor
To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual
so

simplify

That means
1.2 inches in the drawing represent 1 foot in the actual
step 2
Find out the dimensions of the herb garden on the scale drawing
we know that
The dimensions of the herb garden in the actual are 2 ft by 5 ft
Multiply by the scale factor
so


therefore
The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in
So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches
so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"
now, what's the linear velocity, namely, the arc covered per minute
well

now, how much is that in miles/hrs? well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr
thus

notice, after all the units cancellations, you're only left with mi/hrs