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Andrej [43]
3 years ago
11

Solve the equation: 1/6(6x−12)=−13−(x−3)

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

x = -4

Step-by-step explanation:

1/6(6x−12)=−13−(x−3)

Distribute

x -2=−13−x+3

Combine like terms

x-2 = -x-10

Add x to each side

x-2+x = -x-10+x

2x-2 = -10

Add 2 to each side

2x-2 +2 = -10+2

2x = -8

Divide by 2

2x/2 = -8/2

x = -4

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Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
2 years ago
What is the slope of the line that passes through
den301095 [7]

Answer:

what does it pass through

7 0
2 years ago
4 1/4 + (-1 3/4) what is the answer
aliya0001 [1]

Answer:

2.5 or 250.

Step-by-step explanation:

7 0
3 years ago
INTELLIGENT STUDENT IN TRIG?.Ill give brainlest​
faltersainse [42]

Answers:

x = 6

y = 6*sqrt(2)

=======================

Explanation:

To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios

tan(45) = 1

tan(angle) = opposite/adjacent

tan(45) = x/6

1 = x/6

6*1 = x

x = 6

-------

sin(45) = 1/sqrt(2)

sin(angle) = opposite/hypotenuse

sin(45) = 6/y

1/sqrt(2) = 6/y

1*y = sqrt(2)*6

y = 6*sqrt(2)

8 0
3 years ago
Two functions are shown in the table below.
SVETLANKA909090 [29]

Answer:

(d)\ x = 4

Step-by-step explanation:

Given

f(x) = -x^2 + 4x + 12

g(x) = x + 8

Required

Find x such that: f(x) = g(x)

This gives:

-x^2 + 4x + 12 = x+8

Collect like terms

-x^2 + 4x -x + 12 -8=0

-x^2 + 3x +4 =0

Expand

-x^2 + 4x - x+4 =0

Factorize

x(x - 4) - 1(x-4) = 0

Factor out x - 1

(x- 1)(x - 4)=0

Solve:

x =1\ or\ x = 4

8 0
3 years ago
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