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Allushta [10]
3 years ago
9

Solve the equation 4.1g+6=2.1g+12.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

g=3

Step-by-step explanation:

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Write the equation of the perpendicular bisector of AB if A(–6, –4) and B(2, 0).
iragen [17]

Answer:

Step-by-step explanation:

The equation of perpendicular bisector of A(-6, -4 ) and B(2, 0) is y = -2x - 6

Solution:

Given that we have to find the equation of perpendicular bisector of A(-6, -4 ) and B(2, 0)

A perpendicular bisector, bisects a line segment at  right angles

To obtain the equation we require slope and a point on it

Find the midpoint and slope of the given points and then we can find the equation

Find the midpoint:

Given points are A(-6, -4 ) and B(2, 0)

The midpoint is given as:

Substituting the values we get,

Find the slope of given points:

Then the slope of perpendicular bisector is given as:

We know that product of slopes of given line and slope of line perpendicular to it is equal to -1

Let the slope of perpendicular bisector be

Find the equation of line with slope -2 and point (-2, -2)

The equation of line in slope intercept form is given as:

y = mx + c -------- eqn 1

Where "m" is the slope and "c" is the y - intercept

Substitute (x, y) = (-2, -2) and slope m = -2 in eqn 1

-2 = -2(-2) + c

-2 = 4 + c

c = -2 - 4

c = -6

Substitute c = -6 and m = -2 in eqn 1

y = -2x - 6

Thus the required equation of perpendicular bisector is found

5 0
3 years ago
Read 2 more answers
Round 18.57631 to three decimal places.
iVinArrow [24]

❄ Hi there,

let us revise the rounding rules and then, get down to rounding the number.

\sf{Rounding \ Rules:}

  • If the number you need to round is followed by a number from 0 to 4, you round down.
  • If the number you need to round is followed by a number that's 5 or more, you round up.

Now we can start the rounding process.

Reading the problem & the directions, we notice that we need to round to 3 decimal places (3 numbers after the decimal point).

Looking at the fourth number, we notice that it's less than 5.

∴ we need to round down ↡

↬\sf{18.57631 \ rounded \ to \ 3 \ DP \ = \bf{18.576}}

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

❄

3 0
2 years ago
Marcella had $15. She bought some books. After that she had $6 left.
KengaRu [80]

Answer:

B.) 15 - A = 6

Step-by-step explanation:

The equation shows that Marcella had $15 then bought something (A), and now she has 6 dollars left.

15 - A = 6

8 0
4 years ago
Read 2 more answers
2. Graph the following equation: y = - 1/2 x + 4
Murljashka [212]

Answer:

Step-by-step explanation:

y = (-1/2)x + 4 is the equation of a straight line with y-intercept (0, 4) and slope -1/2.

To graph this, first plot the y-intercept (0, 4).

Recall that slope m = rise / run, and notice that the slope in this particular case is -1/2 = rise / run, or rise = -1 and run = 2.

Starting with your pencil point on (0, 4), move the point 2 units to the right (run = 2), arriving at (2, 4).  Next, move your pencil point 1 unit down, to (2, 3).

Draw a straight line through (0, 4) and (2, 3).

8 0
3 years ago
the partial quotient what would be the best choice for the first number to subtract in the division problem 9176 / 31
trasher [3.6K]

Answer:

620

Step-by-step explanation:

3 0
3 years ago
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