<span>So we want to know the difference between a= 126 1/4 and b= 78 2/3. Lets turn them into a fraction: a = 124*4 + 1/4 = 496/4 + 1/4 = 495/4. b= 78*3 + 2/3 = 234/3 + 2/3 = 236/3. Now we find the common denominator of a and b: and that is 12. so lets multiply a by 3/3 and b by 4/4: (495/4)*(3/3)=1485/12. (236/3)*(4/4)=944/12. Now the difference is: 1485/12 - 944/12=541/12 and that is: 45 1/12 </span>
(8, 9) will be the midpoint of the segment.
You can find this by applying the formula
(x1 + x2)/2 , (y1 + y2)/2
9514 1404 393
Answer:
BD = 17
Step-by-step explanation:
The Pythagorean theorem can be used twice:
BC^2 + AC^2 = AB^2
BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7
__
Likewise, ...
DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10
Then ...
BD = BC +DC = 7 + 10
BD = 17
Answer:
Ste4
×
y
=
4
×
(
1
4
x
−
5
)
4
y
=
(
4
×
1
4
x
)
−
(
4
×
5
)
4
y
=
(
4
×
1
4
x
)
−
20
4
y
=
1
x
−
20
Next step is to move the
x
term to the left side of the equation by subtracting
1
x
from each side of the equation:
−
1
x
+
4
y
=
−
1
x
+
1
x
−
20
−
1
x
+
4
y
=
−
0
−
20
−
1
x
+
4
y
=
−
20
Now, to make the coefficient of
x
positive we need to multiply both sides of the equation by
−
1
−
1
×
(
−
1
x
+
4
y
)
=
−
1
×
−
20
(
−
1
×
−
1
x
)
+
(
(
−
1
×
4
y
)
=
20
1
x
−
4
y
=
20
or
1
x
−
4
y
=
20p-by-step explanation:
Answer:
(a) x = -1.10 and x = 1.10
Step-by-step explanation:
A straightforward square root will give the value of x.
<h3>Solution</h3>
Divide by the coefficient of x^2:
x^2 -30/25 = 0
x^2 -1.20 = 0
Add 1.20, and take the square root.
x^2 = 1.20
x = ±√1.20 ≈ ±1.0954
x ≈ -1.10 and 1.10 . . . . . round to hundredths
__
<em>Additional comment</em>
For small values of x, the root of (1+x) is approximately 1+x/2. For a root accuracy to the nearest hundredth, x < 0.21 (as here). For accuracy to the nearest thousandth, x < 0.064.
