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Olegator [25]
2 years ago
11

(08.03) Consider the following pair of equations:

Mathematics
1 answer:
Luba_88 [7]2 years ago
6 0

Substitution method is used to solve the linear system of equations for one or more variables.

Consider the first equation y = 3x + 3 -----(1)

In equation (1) plug in y=x-1, we get

x -1 = 3x + 3

Add -3x on both side , we get

x-3x -1 = 3x-3x +3

-2x-1=0 + 3

Now add +1 on both sides, we get

-2x-1+1= 3+1

-2x + 0 =4

Now divide both side by -2

-2x/-2= 4/-2

X= -2

Now put x=-2 in the the second equation,

y=x-1

y=(-2)-1

y=-3

Solution(-2,-3)

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Please help if possible its important!!​
Otrada [13]

Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = \frac{1}{2}* \ base * \  height

                                 = \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}

H = 20 ft

Volume = B * H

             = 30 * 20

             = 600 ft³

7 0
2 years ago
Can all quadrilaterals be inscribed in a circle? Explain
-BARSIC- [3]
Depends of the size of the quadrilateral in relation to the circle, but otherwise, yes
3 0
3 years ago
jacob has a box of 2 hundred cubes he also has a bag of 40 cubes. how many trains of 10 cubes can hw make?
Verizon [17]
200+40=240
each train cost 10
take 240/10=24trains
6 0
3 years ago
18) If the straight line y=m X touches the circle (x - 2)^2 + (y - 6)^2 = 4, then m= ......
fenix001 [56]

Answer:

(8) d. 4/3    (9) a. (X - 4)^2 + (y-4)^2= 25

Step-by-step explanation:

8. CENTER OF CIRCLE: O (2,6)

     radius of circle : r = √4 = 2

if m = 4/3 line: y = 4/3 x

perpendicular distance (d) from center of circle to line y = 4/3 x is

d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2

d = r means line touch with circle

9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)

the equation of circle: (X - 4)^2 + (y-4)^2= 25

8 0
3 years ago
Given the midpoint of (-10,7) and the endpoint of (5,-3), what is the other endpoint?
xxMikexx [17]

(-25,17)


Hope this helps.

4 0
3 years ago
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