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USPshnik [31]
3 years ago
11

Which is the correct coefficient matrix for this system? 3x - 4y = 12 x + 6y = 10

Mathematics
1 answer:
Stels [109]3 years ago
7 0

The coefficients of x and y in the first equation are 3 and -4, respectively.

The coefficients of x and y in the second equation are 1 and 6, respectively.

The coefficient matrix lists these coefficients in order on successive rows, so it will be ...

\left[\begin{array}{cc}3&-4\\1&6\end{array}\right]

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X =<br> y =<br> (3y + 2)<br> 4x°<br> 52°
antiseptic1488 [7]

TO GET Y I WILL USE THE REASON SUM OF ANGLES IN A TRIANGLE:

52 + 90 +( 3y + 2) = 180  \\ 52 + 90 + 2 +3 y = 180 \\ 3y = 180 - 90 - 52 - 2 \\ 3y = 36 \\  \frac{3y}{3}  =  \frac{36}{3}  \\ y = 12

y=12°

TO FIND X I WILL USE THE REQSON ALTERNATE ANGLES

4x = 52 \\  \frac{4x}{4}  =  \frac{52}{4}  \\ x = 13

x=13°

THEE ANGLES ARE INSIDE THE PARALLEL LINES :NOTE.

7 0
1 year ago
A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single
s344n2d4d5 [400]
There are 72 possible choices. 
8 0
3 years ago
Read 2 more answers
1/4of marianne’s height is equal to2/5of jean-luc’s height. find the ratio of marianne’s height to jean-luc’s height.
12345 [234]
I believe the ratio of maraianne's height to jean-lucs height would be,

\frac{1}{4}  \: to \:  \frac{2}{5}
4 0
4 years ago
Yo i need help wit 17 and 18 i’ll give u a brainliest you please
cricket20 [7]

Answer:

17. See below

18. 750

Step-by-step explanation:

17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.

18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

y=0.5x+125

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:

500=0.5x+125

500-125=0.5x

375=0.5x

\frac{375}{0.5} =x

375*2=x

750=x

Thus, 750 lollipops must be sold.

3 0
3 years ago
Find the center and radius of the circle defined by the equation given below. x ^ 2 + 2x + y ^ 2 + 10y = 15?
Lina20 [59]

Answer:

Step-by-step explanation:

Remark

Complete the square for x and for y.

complete for x

x^2 + 2x + (2/2)^2

(x + 1)^2

Complete square for y

y^2 + 10y + (10/2)^2

(y + 5)^2

Now put these two together

(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2

(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1

(x + 1)^2 + (y + 5)^2 = 41

Answer

Center: (-1,-5)

radius: (sqrt(41) = 6.403

3 0
3 years ago
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