A quadratic expression<span> is any mathematical </span>expression<span> whose power or degree is two. In other words, any </span>expression<span> that uses variables where the highest exponent or the </span>expression's<span> degree is two is a </span>quadratic expression<span>. The </span>expression<span> must have a power of two, no higher nor lower.</span>
Answer:
Step-by-step explanation:
As the two figure are the image and pre-image of a dilation.
Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.
As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.
It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in
Lets determine the missing side of the right side triangle by the same rule.
As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5
So, the value of x will be 2.5
Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.
so
y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2
y + 1 = 6
y = 6 - 1
y = 5
So, the value of y = 5
Therefore,
Answer:
66
Step-by-step explanation:
4^3=64
64+2(3-2)
64+6-4 =64+2.
64+2=66
We determine first the rate of flow of water out of the bottle by dividing the difference in the volume with the difference in time.
r = (28 - 20) / (6 - 2)
r = 2 ounce/s
We calculate the first term by adding 2 ounce/s to the 2nd term, giving us the answer which is equal to 30 ounce/second.
<u> 8b - 7 = 7b - 2</u>
Subtract 7b from each side: b - 7 = -2
Add 7 to each side: <em> b = 5</em>
