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mihalych1998 [28]
3 years ago
8

What is the solution of the system? use elimination . -12x-y=6 17x+y=4

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0
To clarify the systems of equations:

-12x - y = 6
17x + y = 4

We already have opposite coefficients for y, so combine the two equations together:

5x = 10

Divide both sides by 5 to get x by itself:

x = 2

Because we now know x, we can plug it into one of the equations.

We will plug this value into the first equation:

-12(2) - y = 6

-24 - y = 6

Add 24 to both sides.

-y = 30

Divide both sides by -1 to get y by itself.

y = -30

Using elimination, x = 2 and y = -30.
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Prove these identities <br>(i) secx cosecx - cotx = tanx<br>​
brilliants [131]

Answer:

(A)\frac 1 {cosx} \frac 1 {sin x}  - \frac {cosx} {sin x} = \frac {sin x} {cosx} \\\\(B)\frac{1-cos^2 x }{cos x sin x} = \frac {sin x} {cosx} \\\\(C) \frac{(sin^2x + cos^2x)-cos^2 x }{cos x sin x} = \frac {sin x} {cosx} \\\\(D) \frac{sin^2x }{cos x sin x} = \frac {sin x} {cosx}\\\\(E)\frac {sin x}{cos x} = \frac {sin x}{cos x}

In step A, you replace all trigonometric functions with their definitions in terms of sine and cosine.

In step B, you add the two together as you add fractions.

In step C, you replace 1 with the sum of the squares of sine and cosine.
In step D, you add the cosine terms together so they disappear.

In step E, finally, you divide numerator and denominator by sin x.

3 0
2 years ago
Which symbol makes a true statement? –2.75 ? –3 A. = B. &gt; C.
Iteru [2.4K]
<span>–2.75 >  –3

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7 0
3 years ago
Write the equation (in point-slope form) for the line parallel to y = x + 4 and passes
Tanya [424]

Answer:

y = x-7

Step-by-step explanation:

<u>Step 1:  Write the equation in point-slope form</u>

Point Slope Form:  y-y_{1}=m\left(x-x_{1}\right)

<u>Plug in the numbers and solve</u>

<u />y - (-2) = 1(x - 5)

y + 2 = x - 5

y + 2 - 2 = x - 5 - 2

y = x-7

Answer:  y = x-7

8 0
3 years ago
Read 2 more answers
A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,
8_murik_8 [283]

Answer:

f(x) = -6x +120

Step-by-step explanation:

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

y = mx + b

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

m=\frac{y_2-y_1}{x_2-x_1}   and b=y_1-mx_1

In this case: (x_1, y_1) = (5, 90) and (x_2, y_2) = (10, 60)

Then:

m=\frac{60-90}{10-5}

m=-6

And

b=90-(-6)(5)

b=120

Finally the function that shows the number of patients seen each week at the clinic is:

f(x) = -6x +120

7 0
3 years ago
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