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wariber [46]
3 years ago
12

Winston is solving the equation 5x - 3(10 - 2x) = 9(2x + 6).

Mathematics
1 answer:
vitfil [10]3 years ago
4 0
This is the concept of algebra, in explaining the steps we use we proceed as follows;
5x-3(10-2x)=9(2x+6)
step1:
5x-3(10)-3(-2x)=9(2x)+9(6)

step2:
5x-30+6x=18x+54
next we want to put like terms together, begin by subtracting 5x from both sides:
The answer is D] Subtract 5x from both sides of the equation.

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The value of n is both 5 times as much as the value of m and 36 more than the value of m. What are the values of n and m? Explai
tia_tia [17]
N = 5m
n = m + 36

since n is equal to both the expression in m we can say:-

5m = m + 36
4m=36

m = 9 

and n = 5*9 = 45

3 0
3 years ago
Picture provided help!
weqwewe [10]

Answer:

A -60i - 14j

Step-by-step explanation:

u = -9i + 8j

v = 7i + 5j

2u = 2(-9i + 8j) = -18i + 16j

6v = 6(7i + 5j) = 42i + 30j

2u - 6v

(-18i + 16j) - (42i + 30j)

(-18i - 42i) + (16j-30j)

-60i - 14j

5 0
3 years ago
ABCD is a parallelogram. Segment AC = 4x + 10. Find the value of x and y.
valkas [14]

Answer:

The values of x and y in the diagonals of the parallelogram are x=0 and y=5

Step-by-step explanation:

Given that ABCD is a parallelogram

And segment AC=4x+10

From the figure we have the diagonals AC=3x+y and BD=2x+y

By the property of parallelogram the diagonals are congruent

∴ we can equate the diagonals AC=BD

That is 3x+y=2x+y

3x+y-(2x+y)=2x+y-(2x+y)

3x+y-2x-y=2x+y-2x-y

x+0=0 ( by adding the like terms )

∴ x=0

Given that segment AC=4x+10

Substitute x=0  we have AC=4(0)+10

=0+10

=10

∴ AC=10

Now (3x+y)+(2x+y)=10

5x+2y=10

Substitute x=0, 5(0)+2y=10

2y=10

y=\frac{10}{2}

∴ y=5

∴ the values of x and y are x=0 and y=5

5 0
3 years ago
An arithmetic sequence has this recursive formula: (a^1 =8, a^n= a^n-1 -6
eduard

Answer:

a_n = 8 + (n - 1) (-6)

Step-by-step explanation:

Given

a_1 = 8

Recursive: a_{n} = a_{n-1} - 6

Required

Determine the formula

Substitute 2 for n to determine a_2

a_{2} = a_{2-1} - 6

a_{2} = a_{1} - 6

Substitute a_1 = 8

a_2 = 8 - 6

a_2 = 2

Next is to determine the common difference, d;

d = a_2 - a_1

d = 2 - 8

d = -6

The nth term of an arithmetic sequence is calculated as

a_n = a_1 + (n - 1)d

Substitute a_1 = 8 and d = -6

a_n = a_1 + (n - 1)d

a_n = 8 + (n - 1) (-6)

Hence, the nth term of the sequence can be calculated usinga_n = 8 + (n - 1) (-6)

3 0
3 years ago
Solve the inequality 6x - 8 > 4x + 26
zvonat [6]
6x > 4x+26+8
2x > 34<span>

so,
x > 17 </span>
4 0
3 years ago
Read 2 more answers
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