A^2+b^2=c^2
24^2+b^2=26^2
576+b^2=676
-576. -576
b^2=100
The value of x - coordinate is 14.4
<em><u>Solution:</u></em>
Given that we have to find the x -coordinate of the system
<em><u>Given system of equations are:</u></em>
2x + 3y = 144 -------- eqn 1
y - x = 24 --------- eqn 2
Solve the above system of equations to find the x - coordinate
From eqn 2,
y = 24 + x ------- eqn 3
Substitute eqn 3 in eqn 1
2x + 3(24 + x) = 144
2x + 72 + 3x = 144
Add the like terms
5x + 72 = 144
5x = 144 - 72
5x = 72
Divide 72 by 5
x = 14.4
Thus the x - coordinate of the system is 14.4
Answer:
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Subtract: 5/
3
- 7/
3
= 5 - 7/
3
= -2/
3
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 3) = 3. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 3 = 9. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five thirds minus seven thirds = minus two thirds.
9514 1404 393
Answer:
see below
Step-by-step explanation:
The idea is you're trying to find quotient values that get you close to the dividend value when they're multiplied by the divisor.
In the left panel, you are basically looking at 8/3 ≈ 2. Since that is 8 tens, the partial quotient is 2 tens, or 20. The value of that multiplied by the divisor (3) is what gets subtracted from 87 for the next effort.
That difference (27) is the new dividend at the top of the right panel. The line below it (-27) is the result of multiplying the partial quotient by 3. Hence, that partial quotient on the top line must be 9. We want the difference at the bottom of the right panel to be zero.
__
In case you didn't know already that 87/3 = 29, you could work backwards. Starting from 0 at the bottom right, you would fill in the boxes above that, then copy the top box in that panel (27) to the difference at the bottom of the left panel. Of course, the middle number there must be 60 for the difference to be 27. That is 3·20, meaning the partial quotient at left on the top line is 20.
Check the picture below.
a)
notice, since lines KP and NL are parallel, they make up the same angle in purple when they hit line MK, and both triangles share the green angle at M.
b)
notice, LP = LK = 14, and in an isosceles twin sides stemming from a vertex make twin angles.
