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Luba_88 [7]
3 years ago
7

Solve the system of equations. 2x - 4y = 10 7x - 9y = 12

Mathematics
2 answers:
Molodets [167]3 years ago
6 0
These equations are in standard form.

You can graph these equations to find the solution.

Standard form: <em />
<em>Ax+By= C

Graph the equations. 

I got (-4.2, -4.6) as the solution. </em>x= -4.2 and y= -4.6

Now, plug those in and see if they equal each other.

2(-4.2)-4(-4.6)= 10

-8.4+18.4= 10

10=10

We know that this works. 

I hope this helps!
~kaikers
drek231 [11]3 years ago
3 0
2x - 4y = 10
7x - 9y = 12
_________
9x - 5y = 2
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Answer:

there is no difference

Step-by-step explanation:

3 0
2 years ago
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Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
13. Write the equation of a horizontal line that passes through the point (3, -3).
Step2247 [10]

Answer:

O y = -3

Step-by-step explanation:

The line is horizontal.

x = -3 and x = 3 are vertical lines, so they are incorrect.

The line passes through (3, -3).

                                         (x ,  y)

Put y as -3.

y = 3

(-3) = 3

Line y = 3 is incorrect.

(-3) = -3

Line y = -3 is correct.

3 0
3 years ago
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Use the grouping method to factor the polynomial below completely.
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After factor simplification of the polynomial, The answer is D
6 0
3 years ago
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Consider the function f(x)=2|x|-3. What is f(-3)?
olganol [36]

f(-3)=2|-3|-3=6-3=3\\f(-3)=3

Hope I helped and have a great day!

P.S. brainliest would really help im one away from virtuoso

8 0
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