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AlexFokin [52]
3 years ago
6

Simplify the expression (-3+4k) - (-2+ 7k)

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

Answer: −1−3k

Step-by-step explanation:

Distribute:

(−3+4k)−1(−2+7k)

(-3+4k)+{2-7k}

Eliminate redundant parentheses:

(−3+4k)+2−7k

-3+4k+2-7k

Add the numbers:

−3+4k+2−7k

−1+4k−7k

Add the same term to both sides of the equation:

−1+4k−7k

−1−3k

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32km/s for 30 minutes
Darina [25.2K]

Answer:

56700

Step-by-step explanation:

So convert 30 minutes into seconds.

30 * 60 = 1800

32 * 1800 = 56700

3 0
3 years ago
65430 rounded to the nearest thousand
IgorLugansk [536]
65000 is the answer since you have to round to the nearest thousands
5 0
3 years ago
Will mark Brainliest!!
GalinKa [24]

Answer:

y = -10x +44

Step-by-step explanation:

Parallel lines will have the same slopes but different b values so we know that the base of this equation will be

y = -10x +b

To find b we must plus in the given coordinates and determine which value of b makes the statement true.

-6 = -10(5) + b

-6 = -50 + b

b = 56

Therefore the new equation will be:

y = -10x + 44

4 0
4 years ago
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve
AfilCa [17]

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3

Putting values in formula and finding x

Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15

So, the original length of each side of the equilateral triangle = x =15 inches

6 0
3 years ago
A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2 x 6 y = 2x 7 y = 2x 4 y = 1 over
nalin [4]

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

Given information-

The point through which the line passes are (2, 8) and (4, 12).

To find the equation of the line, the standard form of the equation of the line must be obtained.

<h3>Equation of the line</h3>

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

The standard form of the equation of the line can be given as,

(y-y_1)=\dfrac{y_2-y_1}{x_2-x_1} (x-x_1)

Where (x_1,y_1) and (x_2,y_2) are the points through which the line passes.

Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,

(y-8) &=\dfrac{12-8}{4-2} (x-2)\\(y-8) &=\dfrac{4}{2} (x-2)\\2y-16 &=4x-8\\2y &=4x-8+16\\

Divide by 2 both the side,

y=2x-4

Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,

y=2x-4

Hence the option 3 is the correct option.

Learn more about the equation of the line here;

brainly.com/question/2564656

7 0
3 years ago
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