(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answer:
All Real Numbers
Step-by-step explanation:
Any value of <em>c</em> makes the equation true.
Interval Notation
Answer:
Rotation
Step-by-step explanation:
A transformation of a triangle can be either dilation or reflection or rotation or a translation.
Dilation happens when a symmetric figure is formed with scale factor other than 1. But here both triangles have same side length. Hence no dilation
Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on a line. Hence no reflection
Rotation is keeping the same shape but rotating through a certain angle. Here DEF is rotated without disturbing its shape or size through a certain angle. Hence rotation is right
Translation is not right because there is no vertical or horizontal shift to get new triangle.
Step-by-step explanation:
hope i helped plz mark brainleyest plz
Answer:
0%
Step-by-step explanation:
We have the following information:
mean (m) = 208 days
standard deviation (s) = 15 days
We have that the z value would be:
z = (x - m) / sd
replacing we have:
z = (308 - 208) / 15
z = 6.66
However,
P (x> 308) = 1 - (x <308)
P (x> 308) = 1 - (z <6.66)
if we look for this value of z in the table we assume that it is 1, since the table reaches 3 and the value is 1. Therefore:
P (x> 308) = 1 - 1
P (x> 308) = 0
Which means that the probability is 0%, therefore it is a very unusual pregnancy.
