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3 years ago

Solve the following system of equations 6x+5y=−2 −7x-9y=−23

Mathematics

2 answers:

ch4aika [34]3 years ago

6 0

Answer:

x = 5.9

y = 7.48

Step-by-step explanation:

omeli [17]3 years ago

3 0

X=-1/3-5/6y
x=23/7-9/7y

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Solve the triangle. B = 36°, a = 41, c = 20

AnnyKZ [126]

C = 82.8°

b = 27.5 

Here's the working in case you need to see it. 

Using Law of Cosines to first find b: 

b² = a² + c² - 2acCOS(B) 

b² = (41)² + (20)² - 2(41)(20)COS(36) 

b = about 27.5 

Now using Law of Sines to find A 

sin(36) / (27.5 = sin(A) / (41) 

sin(A) = 41sin36 / 27.5 

sin(A) = 0.876334376145 

A = SinInverse(0.876334376145) 

A = about 61.2° 

Now using 180-61.2-36 to find B = 82.8° 

Have a good day!

7 0

4 years ago

What is the sum of the rational expression below? 3x/x+2 + x/x+4

Darya [45]

Ans

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Use the quadratic formula to solve 9x2 + 6x – 17 = 0. A. B. x = –1, –5 C. D.

Taya2010 [7]

Answer:

$x_{1} = -\frac{1}{3} +\sqrt{2} ; x_{2} = -\frac{1}{3}-\sqrt{2}$

Step-by-step explanation:

9x² + 6x – 17 = 0

Apply the quadratic formula

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a = 9; b = 6; y = -17

$x = \frac{-6\pm\sqrt{6^2 - 4\times 9 \times(-17)}}{2\times 9}$

$x = \frac{-6\pm\sqrt{36+36\times17}}{18}$

$x = \frac{-6\pm\sqrt{36(1+17)}}{18}$

$x = \frac{-6\pm 6 \sqrt{18}}{18}$

$x = \frac{-1\pm \sqrt{9\times2}}{3}$

$x = \frac{-1\pm 3\sqrt{2}}{3}$

$x_{1} = -\frac{1}{3} +\sqrt{2} ; x_{2} = -\frac{1}{3}-\sqrt{2}$

The graph below shows the roots at x₁ =1.081 and x₂ = -1.748.

6 0

3 years ago

What is an equation for the line that passes through the coordinates (2,0) and (0,3)

Vera_Pavlovna [14]

Gradient of line = (change in y)/(change in x) = -3/2
equation of a line = y-y1 = m (x-x1) = y-0 = -3/2(x-2)
y=-3/2x + 3
I'm going to take a guess and say you missed the neg. sign in C?

8 0

3 years ago

Seven times the sum of 4 and some number is 42

Naddik [55]

Answer:

$x=2$