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d1i1m1o1n [39]
3 years ago
7

Substation method x-2y=5 , 3x-5y=8

Mathematics
1 answer:
valina [46]3 years ago
6 0
x-2y=5 \\
3x-5y=8 \\ \\
\hbox{solve the first equation for x:} \\
x-2y=5 \ \ \ |+2y \\
x=2y+5 \\ \\
\hbox{substitute 2y+5 for x in the second equation:} \\
3(2y+5)-5y=8 \\
6y+15-5y=8 \\
y+15=8 \ \ \ |-15 \\
y=-7 \\ \\
x=2y+5=2 \times (-7)+5=-14+5=-9 \\ \\
\boxed{(x,y)=(-9,-7)}
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Match the vocabulary word with the correct definition.
svetlana [45]

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation:

8 0
3 years ago
What is the solution of the equation? (√2x-1) + 2=x
Gwar [14]

Answer:

x = 5

Step-by-step explanation:

√(2x − 1) + 2 = x

√(2x − 1) = x − 2

2x − 1 = (x − 2)²

2x − 1 = x² − 4x + 4

0 = x² − 6x + 5

0 = (x − 1) (x − 5)

x = 1 or 5

Check for extraneous solutions.

√(2(1) − 1) + 2 = 1

√(1) + 2 = 1

3 = 1

No solution

√(2(5) − 1) + 2 = 5

√(9) + 2 = 5

5 = 5

x = 5

7 0
3 years ago
Does (1,-2) (2,1) (3,0) (4,2) represent a function Yes or No?
Artemon [7]

Answer:

no

Step-by-step explanation:

x= 1, 2, 3, 4

y= -2, 1, 0, 2

y is changing randomly you won't be able to tell what number is next

3 0
2 years ago
Read 2 more answers
An amount was shared in the ratio 3:4. The largest share was 12. What is the smallest share​
boyakko [2]

Answer:

9

Step-by-step explanation:

3/4 = x/12

Cross-multiply: 36 = 4x

x = 9

6 0
3 years ago
Points F and E on the coordinate grid below show the positions of two midfield players of a soccer team:
Lelechka [254]

Answer:

F is E reflected across the y-axis; only the signs of the x-coordinates of F and E are different.

Step-by-step explanation:

The question is incomplete. Here is the complete question.

" Points F and E on the coordinate grid below show the positions of two midfield players of a soccer team:

Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point E is 1.5 units to the left and 3 units up. From the origin, point F is 1.5 units to the right and 3 units up.

Which statement best describes the relationship between the positions of the two midfield players? (1 point)

Based on the coordinate of E;

The value on the x axis is -1.5 since the point is 1.5unitsTO THE LEFT from the origin(-ve x-axis acts towards the left in space). The value on the y-axis will be +3units since its 3units UP(+ve y axis acts upward).

The E coordinates will therefore be (-1.5, 3)

Similarly, for coordinate F:

If from the origin, point F is 1.5 units TO THE RIGHT, then the x-axis will be +1.5 (x-axis is positive towards the right) and +3 units up(+ve y axis acts upward).

The F coordinate will therefore be;

(1.5, 3).

From both coordinates, it can be seen that both x axis are of the same value but different signs. This means that the points E and F will act in the opposite side of the y-axis and a reflector of each other.

Based on the explanation above, it can be concluded that "F is E reflected across the y-axis; only the signs of the x-coordinates of F and E are different."

7 0
3 years ago
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