Answer: 0.5 < x < 16.5.
Step-by-step explanation:
Given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
- Sum of any two sides > third side. (i)
- Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
From their sum, the numbers are ' x ' and ' 8 - x ' .
From their product, x(8 - x) = 80 .
When you massage and manipulate this equation into the standard
quadratic form, you have
x² - 8x + 80 = 0 .
Applying the quadratic formula to tease out the solutions of this equation,
we find that they are
<em> x = 4 + 64 i</em>
and
<em> x = 4 - 64 i</em>
Answer:
40%
Step-by-step explanation:
20/50
= 2/5
= 0/4
= 40%
Answer:
To do this you have to combine like terms. For example, 7x and -5x.
Answer:
6 × 8
Step-by-step explanation:
Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller. Smaller by a factor of 4.
So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:
(24/4) x (32/4) = 6 x 8
It couldn't be the first answer choice (3x8) because that doesn't maintain the ratio of the enlarge picture. The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.
