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tia_tia [17]
3 years ago
15

[X2+8x+4 Answer using quadratic formula

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0
I hate quadratic formula it’s so hard
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How to find the θ in this equation: tan(θ+16°)=1/tan(θ+60°) by using the trigonometric identities?thanks
DedPeter [7]

Answer:

\huge \theta  =7°

Step-by-step explanation:

tan( \theta + 16 \degree) =  \frac{1}{tan( \theta + 60 \degree) }  \\ tan( \theta + 16 \degree) =cot( \theta + 60 \degree) \\ tan( \theta + 16 \degree) = tan \{90 \degree - (\theta + 60\degree) \} \\ \theta + 16 \degree = 90 \degree - \theta  -  60\degree \\ \theta +\theta  = 30 \degree - 16\degree \\2 \theta  = 14 \degree  \\ \theta  =  \frac{14 \degree}{2}   \\   \huge \red{ \boxed{\theta  =7 \degree}}

7 0
3 years ago
Raj tried to solve the system below.
jekas [21]

Answer: Option C) Raj forgot the negative when substituting -15+9x for y.


Solution:

(1) 9x-y=15

(2) 2x+8y=28

Isolating y in the first equation. Subtracting 9x both sides of the equation:

(1) 9x-y-9x=15-9x

Subtracting:

(1) -y=15-9x

Multiplying both sides of the equation by -1:

(1) (-1)(-y)=(-1)(15-9x)

(1) y=-15+9x

Then Raj found the value of y. It's not option D.

Substitutng y by -15+9x in the second equation:

(2) 2x+8(-15+9x)=28

Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.

Eliminating the parentheses applying the distributive property in the multiplication:

(2) 2x-120+72x=28

Adding similar terms:

(2) 74x-120=28

Solving for x. Adding 120 both sides of the equation:

(2) 74x-120+120=28+120

Adding:

(2) 74x=148

Dividing both sides of the equation by 74:

(2) 74x/74=148/74

Dividing:

(2) x=2

Solving for y: Replacing x by 2 in the first equation:

(1) y=-15+9x

(1) y=-15+9(2)

Multiplying:

(1) y=-15+18

Subtracting:

(1) y=3  

3 0
3 years ago
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(4, -6), (3, -8)<br> Find midpoint
Dennis_Churaev [7]
(7/2,-7) ther I hope it help
6 0
2 years ago
What is 7 2/3 + 8 5/6
Archy [21]
7 2/3 + 8 5/6 =  16 1/2 ( or 32/2 )
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3 years ago
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The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
Rama09 [41]

Answer:

There is an outliner in the data for the boys, but no the for the girls

Step-by-step explanation:

6 0
2 years ago
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