MATHEMATICS HIGH SCHOOL

Solve 5x + 14 = k for x.

Answers

Answer 1

Answer:

Answer:

x = (k-14)/5

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x + 14-14 = k-14

5x = k-14

Divide by 5

5x/5 = (k-14)/5

x = (k-14)/5

Answer 2

Answer:

Answer:

k - 14/5

Step-by-step explanation:

5x + 14 = k

On subtracting 14 on both sides,

5x = k - 14

On dividing by 5 on both sides,

x = k - 14/5

Therefore, the value of x = k-14/5

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Twice a number increased by 5?? in algebraic expression

How do you simplify this

Answers

You ALWAYS remove parentheses first.

That gives you [ 1/4 a⁴ b⁻² ] in the denominator, and then
you can start dividing the numerator and denominator by
their common factors ("canceling").

I think the answer to that might be 1/2 or .5ab^3 because I multiplied the bottom part -2*-2 which is 4ab^4 then the top part is 2ab -3+2= 2ab^-1 then divide 2/4 and subtract -1-4 so it's = 1/2 or .5ab^3

Find the equation of a line parallel to y = 3x - 6, passing through the point (-6, -7). options: y = 3x + 11
y = 3x - 11
y = 3x - 7
y = -1/3x - 9

Answers

Parallel lines have the same a slope. Therefore if

k: y = 3x - 6 → slope = 3

and l: y = mx + b

l || k ⇔ m = 3

l: y = 3x + b

We have the point (-6, -7). Put the coordinates to the equation:

-7 = 3(-6) + b

-7 = -18 + b add 18 to both sides

11 = b → b = 11

Answer: y = 3x + 11

A line segment is drawn from (+6, +4) to (+9, +4) on a coordinate grid.Which explains one way that the length of this line segment can be determined?

A.
Add 9 + 6.

B.
Add 6 + 6.

C.
Subtract 9 – 6.

D.
Subtract 6 – 6.

Answers

Letter c. add 9-6 explains one way that the length of this line segment can be determined. In order to verify this for yourself, you can plot these two point on a Cartesian coordinate plane and manually measure the length of the line. Mathematically, the length of a line may be calculated by the distance formula given as: sqrt[(x2-x1)^2+(y2-y1)^2]

Find the equation of the line that passes through (-2,3) and (4,-1).the formula I believe is y-y1 = y2-y1/x2-x1 (x-x1)
I'm not quite sure as to how to set that up. do I solve as I go?

Answers

$Genera\ equation\ for\ line\n\ny=ax+b\n\nTo\ find\ a\ and\ b\ substitude\ points\ (-2,3),\ (4,-1)\ into\ equation\n\n \left \{ {{3=-2a+b}\ \ \ \ \atop {-1=4a+b\ |*-1}} \right.\n\n \left \{ {{3=-2a+b}\ \ \ \ \atop {1=-4a-b\}} \right.\n+----\n\nAddition\ method\n\n4=-6a\ \ |:-6\n\na=-(4)/(6)=-(2)/(3)\n\nb=3+2a=3+2* (-(2)/(3))=3-(4)/(3)=1(2)/(3)\n\ny=-(2)/(3)x+1(2)/(3)$

Simplify the expression. 6p5

Answers

If you are considering P of the permutation and combination. Then simply pit the figure 6P5 in calculator and your answer will be 720. Or if not calculator then the formula is P(n,r)= n(factorial)/ (n-r)factorial.

Find the unit rate:

$2 for 5 cans of dog food

Answers

.40$/1 is the answer to your question

.40 per can
2/5 = .4

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