A. slope intercept form is y=mx+b where m is your slope and b is your y-intercept. Since it gives you the slope (4) and the y-intercept (-9) all you have to do is plug it into the equation to get y=4x-9
b. This one is a little bit trickier but by no means impossible. the first thing we want to do is find the slope, and in order to do this we take the second y minus the first and divide it by the difference of the second x and the first x. the way that would look in this case is (10-6)/(4-0) and when we simplify this we get 4/4=1
Since our slope is 1, we just need to find the value of y when x=0, In this problem it is given to us with the point (0,6) if we plug both of this into our equation we get y=x+6 (the 1 in front of the x is optional
Answer:
<em>DEF can have possible side lengths of 28, 16, 20.8</em>
Step-by-step explanation:
<u>Triangle Similarity</u>
If the three sides of two triangles have the same proportion, the triangles are similar (SSS theorem).
Triangle ABC has side lengths of 14, 8, and 10.4.
Any other triangle whose side lengths are the same lengths of ABC multiplied by a constant scale factor is similar to ABC.
For example, select scale factor 2. Thus, the triangle of side lengths 2*14=28, 2*8=16, and 2*10.4=20.8 is similar:
DEF can have possible side lengths of 28, 16, 20.8
Any other scale factor will do.
Step-by-step explanation:
The cosine function, along with sine and tangent, is one of the three most common trigonometric functions. In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H). In a formula, it is written simply as 'cos'.
In any right angled triangle, for any angle:
The sine of the angle = the length of the opposite side
the length of the hypotenuse
The cosine of the angle = the length of the adjacent side
the length of the hypotenuse
The tangent of the angle = the length of the opposite side
the length of the adjacent side
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa
Hey how are you doing today?
Answer: z score = 0.00714
Step-by-step explanation: the value of test statistics is gotten using the standard normal distribution table.
Z= 2.45 has area to the left (z<2.45) and area to the right (z>2.45).
Level of significance α is the probability of committing a type 1 error. The area under the distribution is known as the rejection region and it is the area towards the right of the distribution.
The table I'm using is towards the left of the distribution.
But z>2.45 + z<2.45 = 1
z> 2.45 = 1 - z<2.45
But z < 2.45 = 0.99286
z > 2.45 = 1 - 0.99286
z >2.45 = 0.00714
Hence the test statistics that would produce the least type 1 error is 0.00714