R: -4,-3
S: -3,1
T: 1,-2
U: stays the same
((:
Answer:
6
Step-by-step explanation:
This function corresponds to 'even' function, then
in order to calculate the 'x' of the vertex: (3+9)/2=6.
The requested values are found in the attached table
Selected pairs
A(22,160)B(30,172)
find the slope of the line AB
m=(y2-y1)/(x2-x1)=(172-160)/(30-22)=12/8=3/2=1.5m=1.5
one point and slope-------- > A(22.160) m=1.5
y=mx+b
160=1.5(22)+bb=127y=1.5x+127---------- > equation in slope intercept form
<span>If the length of the bone is 12 in------------------ > 12*2.54=30.48 cms
</span>y=1.5x+127- >1.5*30.48+127=172.72 cms
172.72/2.54=68 in
172.72/0.30=575.73 feet
the height estimate of the person before death is 172.72 cms=68 inches=575.73 feet
<span>By the height it could be a man of average height or a tall woman</span>
Answer:
3/2
Step-by-step explanation:
Because the problem tells you that the two triangles are similar, the value of a/b would be equivalent for both triangles. The fact that they are right triangles also indicates which sides are which in case the image was not drawn to scale. A is proportional to 2.1 and b is proportional to 1.4. So a/b= 2.1/1.4. This can reduce itself to 3/2 because both are divisible by .7
Answer:
10 1/3
Step-by-step explanation:
Convert mixed numbers into improper fractions (whole number × denominator + numerator)
25 2/3 and 15 1/3
25 × 3 + 2 = 75 + 2 = 77
Put the number over the same denominator
77/3
15 × 3 + 1 = 45 + 1 = 46
Put the number over the same denominator
46/3
77/3 - 46/3
They have common denominators so we can simply subtract the numerator values
77 - 46/3
31/3
To convert it back to a whole number, find how many times 3 fits into 31 evenly
It fits 10 times evenly with 1 remainding which looks like:
10 1/3