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GenaCL600 [577]
3 years ago
12

Which answer best describes the system of equations shown in the graph?

Mathematics
2 answers:
Leni [432]3 years ago
6 0
Consistent independent
Katen [24]3 years ago
5 0

Answer:

we conclude that the given system of equations is consistent and independent.

Hence, option B is true.

Step-by-step explanation:

From the figure it is clear that the two lines intersect at one point.

In other words, there is only one point of intersection of the given system of equations.

It means the system of equations contains exactly one solution.

We know that If a consistent system contains exactly one solution, it is termed as an independent.

Therefore, we conclude that the given system of equations is consistent and independent.

Hence, option B is true.

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
In-s [12.5K]
Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13 
5x + 5y = 10x + y - 13
-5x + 4y = - 13             (1)

The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7                 (2)

Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8

From (3), obtain
x = 2*8 - 7 = 9

Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
4 0
3 years ago
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Westkost [7]

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

7 0
3 years ago
Drew wants to wallpaper his bedroom. The room is 10 ft long, 12 ft wide, and 8 ft tall. How many square feet of wallpaper does h
olganol [36]

Answer:

you have four walls. two of them 12*8 and the other two are 10*8 ( we used 8 in both because it's the height of the room). so it goes( 2*12*8)+(2*10*8) and it goes 352S

Step-by-step explanation:

let's say that walls A 12*8 and walls B 10*8. you have 4 walls ta wallpaper.

for walls A= 2*12*8=192

for walls B=2*10*12=160

in total, you need 160+192= 352 square feet of wallpaper

7 0
3 years ago
Write an equation for the situation then solve for x.
galina1969 [7]

Answer:

jshshsuhegsyxydbeohbhijdkro you have a great weekend too

6 0
3 years ago
Label each of the triangles illustrated below
AVprozaik [17]
A: Equilateral
B: Obtuse
C: Obtuse
D: Right
E: Obtuse
F: Acute
8 0
3 years ago
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