The value of and
<u>Solution:</u>
Given, Line passes through points
Slope of line passing through two points is
Equation of a straight line passing through point-slope form is
Since we have two points we can use any point. Let us take and m and substitute in (1)
[By equating as ]
Substituting the other coordinates also gives the same result.
Answer:
x < 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
a.)
784
/ \
2 392
/ \
2 196
/ \
2 98
/ \
2 49
/ \
7 7
√784 = 7² × 2^4
= 7² × 4²
= <u>28²</u>
So, √784 = 28
b.)
2025
/ \
3 675
/ \
3 225
/ \
3 75
/ \
3 25
/ \
5 5
2025 = 5² × 3^4
= 5² × 9²
= <u>4</u><u>5</u><u>²</u>
So, √2025 = 45
c.)
9261
/ \
3 3087
/ \
3 1029
/ \
3 343
/ \
7 49
/ \
7 7
9261 = 7³ × 3³
= <u>21³</u>
So, ³√9261 = 21
d.)
46656
/ \
2 23328
/ \
2 11664
/ \
2 5832
/ \
2 2916
/ \
2 1458
/ \
2 729
/ \
3 243
/ \
3 81
/ \
3 27
/ \
3 9
/ \
3 3
46.656 = 2³ × 3³ × 2³ × 3³
= 6³ × 6³
= <u>3</u><u>6</u><u>³</u>
So, ³√46.656 = 36
<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>
Answer:
Sum=720 x=105 degrees Angle H=110 degrees Angle I= 100 degrees Angle K= 135
Step-by-step explanation:
*A hexagons angles add up to 720
*This is a hexagon
*No matter how the hexagon is shaped, it's still going to add up to 720
- Combine all of the angles (known and unknown) into an equation to equal 720
- 140+105+(x+30)+130+(x-5)+(x+5)=720
- remove parentheses
- 140+105+x+30+130+x-5+x+5=720
- Combine like terms and simplify
- 3x+405=720
- subtract 405 from both sides
- 3x=315
- divide by 3 on both sides
- 3x/3=315/3
- x=105
- Angle H = x+5
- Plug in x
- 105+5=110
- Angle H= 110 degrees
- Angle I = x-5
- pug in x
- 105-5=100
- Angle I= 100 degrees
- Angle K= x+30
- plug in x
- 105+30=135
- Angle K= 135 degrees