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svet-max [94.6K]
3 years ago
8

How many solutions are there to this system of equations?

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

one

Step-by-step explanation:

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I need help on this it’s about trig identities
Cerrena [4.2K]

Answer:

The answer to your question is:

Step-by-step explanation:

1.-

\frac{1 + sin\alpha }{cos\alpha } + \frac{cos\alpha }{1 + sin\alpha } = 2 sec\alpha

\frac{(1 + sin\alpha)^{2} + cos^{2} \alpha  }{cos\alpha (1 + sin\alpha) }

\frac{1  + 2sin\alpha + sin^{2} \alpha+ cos^{2} \alpha  }{cos\alpha + sin\alphacos\alpha  }

\frac{2 + 2sin\alpha }{cos\alpha+ sin\alpha cos\alpha  }

\frac{2(1 + sin\alpha) }{cos\alpha(1 + sin\alpha ) }

\frac{2}{cos\alpha }

2sec\alpha

2.-

   sec²x - tanxsecx

\frac{1}{cos^{2}x } - \frac{sinx}{cosx} \frac{1}{cosx}

\frac{1}{cos^{2} x} - \frac{sinx}{cos^{2}x}

\frac{1 - sinx}{cos^{2}x }

\frac{1 - sinx}{1 - sin^{2}x }

\frac{1 - sinx}{(1 - sinx)(1 + sinx)}

\frac{1}{1 + sinx}

3 0
2 years ago
I’ll give you all my love and affection if you help me with this ASAP PLEASE ;)
guapka [62]
Answer: (12,0)


Steps:

First, put the equation in slope-intercept form.

y=mx+b

1.5x + 4.5y =18

Subtract 1.5x from both sides.

4.5y =-1.5x +18

Divide both sides by 4.5 to isolate y.

y = -1/3x + 4


Then replace y with 0 because the point for the x-intercept is exactly on the x-axis so the y=0.

0 = -1/3x + 4

Subtract 4 from both sides

-4 = -1/3x

Divide both sides by -1/3 to isolate the x

12=x
4 0
3 years ago
Find the total cost, including tax, of the following items:
frez [133]

Answer:

$10.23

Step-by-step explanation:

$2.19+$1.39+$3.69+$2.29=9.56

9.56 x 1.07=10.2292

You round to the nearest tenths place

$10.23

7 0
2 years ago
First answer get best marks ​
Karo-lina-s [1.5K]

Answer:

The three expressions are the first option, the third option, and the forth option

Step-by-step explanation:

I don't really know how to explain my math lol but I solved 5(1/3x+7)-3(1/2x-), and got x, and plugged in x to the equation. I got my answer, and plugged in x to the rest of the equations and the first one, third one, and fourth ones were the ones that had equal answers. You may want to check my math though because i am not the best but that is what I got.

8 0
2 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
lilavasa [31]

Answer:

(5a−3)^2

Step-by-step explanation:

25a^2 - 30a + 9

Factor the expression by grouping. First, the expression needs to be rewritten as 25a^2+pa+qa+9. To find p and q, set up a system to be solved.

p+q=−30

pq=25×9=225

Since pq is positive, p and q have the same sign. Since p+q is negative, p and q are both negative. List all such integer pairs that give product 225.

−1,−225

−3,−75

−5,−45

−9,−25

−15,−15

Calculate the sum for each pair.

−1−225=−226

−3−75=−78

−5−45=−50

−9−25=−34

−15−15=−30

The solution is the pair that gives sum −30.

p=−15

q=−15

Rewrite 25a^2 - 30a + 9 as (25a^2−15a)+(−15a+9).

(25a^2−15a)+(−15a+9)

Factor out 5a in the first and −3 in the second group.

5a(5a−3)−3(5a−3)

Factor out common term 5a−3 by using distributive property.

(5a−3)(5a−3)

Rewrite as a binomial square.

(5a−3)^2

3 0
2 years ago
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