Answer:
part a: 5
part b: no, ABC is not an equilateral triangle
Step-by-step explanation:
part a: if you do the distance formula for points A and B, you get 5
part b: using the distance formula again, points A to B and points A to C are both 5, but points B to C is 6, therefore it's not equilateral because all the sides have to be the same length
—625 because you would multiply -5 four times
Answer: x = 10 y=20
Step-by-step explanation:
You can answer this question by plugging in each equation:
2x=y, x+y=30. Let us plug y as 2x in the second equation x+y=30
x+2x= 30
3x= 30
x=10
After we found x we can then find y by plugging the 10 for x.
2(10) = y
y =20
or you could plug in the other equation
10+y=30
subtract 10 from 30 and we get 20
to double check we can plug in both numbers
2(10) = 20 which is correct
and 10 + 20 = 30 which is correct
The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get
. Similarly, we get the improper fraction
for converting the mixed fraction
.
Step 2; After conversion, it's just a matter of division. The fraction
equals 4.25 while the denominator
equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
We know that
<span>a) the slope-intercept form of the line---------------> y=mx+b
b) </span><span>if two lines are parallel both have the same slope
</span>then
<span>passes through the point (1,0) and is parallel to x-y=7
Step 1
Find the slope
</span>x-y=7------------> y=x-7------------> m=1
Step 2
Find the slope-intercept form of the line---> y=mx+b
point (1,0) m=1
0=(1)*(1)+b------> b=-1
y=(1)*x-1--------> y=x-1
the answer is
y=x-1
using a graph tool
see the attached figure