Answer:
A. 2 distinct roots.
Step-by-step explanation:
2x^2 + 8x + 3 = 0
Finding the discriminant:
b^2 - 4ac = 8^2 - 4 * 2 * 3
= 64 - 24
= 40
The discriminant is positive but not a perfect square
So there are 2 distinct ,real, irrational roots.
There are a various of ways solve this expression. We can choose to do completing the square method or to use the quadratic formula. In this case, I will choose to do completing the square. We do as follows:
<span>x^2 - 7x = -13
</span><span>x^2 - 7x + 49/2= -13 + 49/2
(x - 7/2)^2= 23/2
</span>√[(x - 7/2)^2]= √(23/2)
x-7/2 = √46 / 2
x = √46 / 2 + 7/2
Hope this answers the question. Have a nice day.
<h3>
Answer: 4 minutes</h3>
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Explanation:
Let's say that this tub is 72 gallons. I picked this number since 12*6 = 72. You can pick any number you want, but I picked this number so we end up with whole number results as shown below.
Tap X can fill the 72 gallon tub in 12 minutes. Its rate is 72/12 = 6 gallons per minute. Tap Y has a rate of 12 gallons per minute because 72/6 = 12.
Add the two unit rates: 6+12 = 18
If the two taps are opened at the same time, then they will work at a rate of 18 gallons per minute.
Let x be the number of minutes. The expression 18x represents how much of the tub is full after x minutes. Set this equal to the 72 we started with earlier and solve for x.
18x = 72
x = 72/18
x = 4
It will take 4 minutes if both taps are running at the same time.
A dilation is a transformation, with center O and a scale factor of k
that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P'
are on the same line.
Thus, a dilation with centre O and a scale factor of k maps the original figure to the image in such a way that the<span>
distances from O to the vertices of the image are k times the distances
from O to the original figure. Also the size of the image are k times the
size of the original figure.
In the dilation of triangle TUV</span>, It is obvious that the image <span>T'U'V' is smaller than the original triangle TUV and hence the scale factor is less than 1.
</span>The ratio of the
distances from A to the vertices of the image T'U'V' to the distances
from A to the original triangle TUV is the scale factor.
The scale factor = 3.2 / 4.8 = 2/3
Answer:
12.2
Step-by-step explanation:
you add $8.85+$3.35 then that's when you get your answer
for the qustion
