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il63 [147K]
4 years ago
15

Solve it by substitution method:- 5x - 6y=-9 and 3x + 4y= 25

Mathematics
1 answer:
user100 [1]4 years ago
8 0
\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\\3x+4y=25&/\cdot3\end{array}\right\\+\left\{\begin{array}{ccc}-10x-12y=-18\\9x+12y=75\end{array}\right\\------------\\.\ \ \ \ \ \ \ -x=57\\.\ \ \ \ \ \ \ \ \ x=-57\\\\3\cdot(-57)+4y=25\\-171+4y=25\\4y=25+171\\4y=196\ \ \ \ /:4\\y=49\\\\Solution:x=-57;\ y=49.
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Question 17&18. Make x the subject of the formula
aniked [119]

Answer:

17. x = y^2 - 2ay +a^2

18. x = y^2 - a

Step-by-step explanation:

17. Since we want to make x the subject of the formula, we first isolate the square root of x and get

\sqrt{x} = y - a.

squaring both sides,

x = y^2 - 2ay +a^2

18. Since both x and the a are under the square root, we first start by squaring both sides.

So y^2 = x+a.

Isolating the x, we get

x = y^2 - a

4 0
3 years ago
Find the distance between the points (0, –1) and (3, –3).
son4ous [18]

Answer:

C. √13

Step-by-step explanation:

The distance between two points is given by

d =sqrt( (x2-x1)^2 + (y2-y1)^2)

  = sqrt( (3-0)^2 + (-3--1)^2)

  = sqrt( 3^2 + (-3+1)^2)

  = sqrt( 9+(-2)^2)

  = sqrt( 9+4)

  = sqrt(13)

3 0
4 years ago
Read 2 more answers
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GaryK [48]

Answer:

.......................

3 0
3 years ago
What’s the area of this face ?
zloy xaker [14]

Answer:

Step-by-step explanation:

Remark.

I take it we are only concerned with the deep lime face that we can see closest to us.

Construction

Draw one line that goes from the right of the left foot up to the 18 foot line

Draw another line that goes from the left of the right foot up to the 18 foot line.

label the width of the right foot as 18 - 6 - 6 = 6

Solution

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Area = L * w

L = 12 feet

w = 6 feet

Area = 12*6 =                        72

Left foot   (same area)         72

Area above the door.

Height = 12 - 6 = 6

width  6

Area = 6 * 6 =                       36

Answer: Total Area = 72 + 72 + 36 = 180

3 0
3 years ago
A marathon is 26 miles 385 yards long . That is about what 1.4 x10 feet how many feet long is half a marathon
san4es73 [151]

I believe that the correct measurement in feet is 1.4 x 10^5 feet. You forgot to include the ^5.

So since that is the measurement of 1 marathon, therefore half a marathon would simply be also half of that, that is:

 

0.7 x 10^5 feet

or

7 x 10^4 feet

5 0
3 years ago
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