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Aliun [14]
2 years ago
15

Hi guys, help with these two questions please! Will mark as brainliest!!

Mathematics
1 answer:
Colt1911 [192]2 years ago
7 0

Step-by-step explanation:

Answer is attached....of both the parts.

Hope it helps:)

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For the test, Ben knows that writing a poem will take him 30
Anna71 [15]

Answer:

30+10y < 120

Step-by-step explanation:

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2 years ago
Which expression is equivalent to 12X + 4X +20?
BabaBlast [244]

Answer:

12x + 4x + 20

4(3x + x + 5)

4(4x+5)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP WITH AN EXPLANATION.
Paladinen [302]
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3 years ago
If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes
anyanavicka [17]

ANSWER

x  =  2 \: \: or \:  \:  x  =  15

Or

x  =   - 2 \: \: or \:  \:  x  =   -  15

EXPLANATION

The given polynomial is

f(x) = {x}^{2}  + kx + 30

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

m + n =  -  \frac{b}{a}  =  -k

and the product of roots is

mn =  \frac{c}{a}  = 30

The square difference of the zeroes is given by the expression.

( {m - n})^{2} =  {(m + n)}^{2} - 4mn

From the question, this difference is 169.

This implies that:

( { - k)}^{2}  - 4(30) = 169

{  k}^{2}  -120= 169

k^{2} = 289

k=  \pm \sqrt{289}

k=  \pm17

We substitute the values of k into the equation and solve for x.

f(x) = {x}^{2}   \pm17x + 30

f(x) = (x  \pm2)(x  \pm 15)

The zeroes are given by;

(x  \pm2)(x  \pm 15) = 0

x  =  \pm2 \: \: or \:  \:  x  =  \pm 15

5 0
3 years ago
Which angle is an adjacent interior angle?
Vanyuwa [196]
4 is exterior and 3 is adherent interior angle to angle 4. Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In this case common vertex is N. Common side is LN. Good luck.
7 0
3 years ago
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