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tester [92]
3 years ago
10

9x-7i>3(3x-7u) help pls

Mathematics
1 answer:
Arisa [49]3 years ago
8 0

Answer

Simplifying

9x + -7i = 3(3x + -7u)

Reorder the terms:

-7i + 9x = 3(3x + -7u)

Reorder the terms:

-7i + 9x = 3(-7u + 3x)

-7i + 9x = (-7u * 3 + 3x * 3)

-7i + 9x = (-21u + 9x)

Add '-9x' to each side of the equation.

-7i + 9x + -9x = -21u + 9x + -9x

Combine like terms: 9x + -9x = 0

-7i + 0 = -21u + 9x + -9x

-7i = -21u + 9x + -9x

Combine like terms: 9x + -9x = 0

-7i = -21u + 0

-7i = -21u

Solving

-7i = -21u

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Divide each side by '-7'.

i = 3u

Simplifying

i = 3u

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aleksandr82 [10.1K]

Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

6 0
3 years ago
Which of the values is equivalent to 5^–3? A) 1/15 B) 1/125 C) − 15 D) − 125
bazaltina [42]

Answer:

C 1/125

Step-by-step explanation:

5  ^−3

Calculate 5 to the power of −3 and get  

1/125

​

​

7 0
2 years ago
Find the solution to the following system of linear
mrs_skeptik [129]

Step-by-step explanation:

y = 4x - 4 \\ x + y = 11 \\ x + 4x - 4 = 11 \\ 5x = 15 \\ x = 3 \\ y = 4 \times 3 - 4 \\ y = 8

8 0
3 years ago
Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + y = 11 -x = -y - 9
suter [353]
x+y=11 \\
-x=-y-9 \\ \\
\hbox{substitute the second equation by -1} \\ \\
x+y=11 \\
x=y+9 \\ \\
\hbox{substitute y+9 for x in the first equation} \\ \\
y+9+y=11 \\
2y=11-9 \\
2y=2 \\
y=\frac{2}{2} \\
y=1 \\ \\
x=y+9 \\
x=1+9 \\
x=10 \\ \\
(x,y)=(10,1)

The answer is B.
5 0
3 years ago
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