Answer:
Step-by-step explanation:
To do this, identify a, b, and c of the quadratic.
a = 1, b = 20, c = |-36|
Find a*c. That's 36. Now find the factors of 36 and the 2 factors that can combine to give you b, which is 20, are the ones we want.
36: 1, 36
2, 18
3, 12
4, 9
6, 6
The ones that combine to give you 20 are 2, 18. Both positive. Therefore,
is how you begin to factor. Factoring by grouping is the way to go.
Factor out what you can from each set of parenthesis:
x(x + 18) + 2(x + 18)
What's common now is what's inside the parenthesis, so that gets factored out:
(x + 18)(x + 2)
That's factored completely!
Answer:
16, 104, 1000
Step-by-step explanation:
8*2
8*13
8*125
Answer:
5. B) x = 7
6. D) 35°
7. C) 67°
8. A) 142°
Step-by-step explanation:
5. Inscribed angle of a semicircle is equal to 90°. Therefore,
16x - 22 = 90
Solve for x
16x - 22 + 22 = 90 + 22
16x = 112
16x/16 = 112/16
x = 7
6. Recall: inscribed angle = ½(intercepted arc)
3x - 1 = ½(8x - 26)
2(3x - 1) = 8x - 26
6x - 2 = 8x - 26
Collect like terms
6x - 8x = 2 - 26
-2x = -24
-2x/-2 = -24/-2
x = 12
m<LMN = 3x - 1
Plug in the value of x
m<LMN = 3(12) - 1 = 36 - 1
m<LMN = 35°
7. Recall: inscribed angle = ½(intercepted arc)
Therefore,
4x + 28 = ½(11x - 1)
2(4x + 28) = 11x - 1
8x + 56 = 11x - 1
Collect like terms
8x - 11x = -56 - 1
-3x = -57
-3x/-3 = -57/-3
x = 19
Arc BC = 360° - (Arc AC + Arc AB) (Full circle)
Substitute
Arc BC = 360 - (11x - 1 + 85)
Plug in the value of x
Arc BC = 360 - (11*19 - 1 + 85)
Arc BC = 360 - (209 - 1 + 85)
Arc BC = 360 - 293
Arc BC = 67°
8. Inscribed angles intercepted by the same arc are equal. Therefore,
8x - 41 = 5x + 1
Collect like terms
8x - 5x = 41 + 1
3x = 42
3x/3 = 42/3
x = 14
5x + 1 = ½(arc PS) => inscribed angle = ½ of intercepted arc
2(5x + 1) = arc PS
Plug in the value of x
2(5*14 + 1) = arc PS
2(70 + 1) = arc PS
2(71) = Arc PS
Arc PS = 142°
Answer:
a
b
c
d
Step-by-step explanation:
Well lets look,
a)
If both slopes are different and have different y intercepts they have 1 solution.
So a has 1 solution
b)
Both slopes are different with different y intercepts.
1 solution
c)
Both slopes are different with different y intercepts
1 solution
d)
Different slopes different y intercepts
1 solution.
For proof look at the images below.
<em>Thus,</em>
<em>the answer is a,b,c, and d.</em>
<em>Hope this helps :)</em>
You can write 15,409 like this 10000+5000+400+9 and like this fifteen thousand-four hundred nine
