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3 years ago

Which method would i use to solve ax^2+c=d? justify your answer.

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

9514 1404 393

Answer:

x = ±√((d -c)/a)

Step-by-step explanation:

The usual "solve for ..." approach works fine in this case.

ax^2 +c = d

ax^2 = d - c . . . . . subtract c

x^2 = (d -c)/a . . . . divide by a

x = ±√((d -c)/a) . . . take the square root

_____

When there are numbers, a graphical solution could work. It depends on whether an exact or approximate solution is required.

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<em>Comment on "solve for ..."</em>

When solving an equation for a specific variable, it is worthwhile to consider the Order of Operations. Look at what has been done to the variable, then undo those operations in reverse order. Here, the variable has been squared, the product multiplied by 'a', that product added to c. So, the "undo" consists of subtracting 'c', dividing by 'a', and taking the square root.

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Find the slope a) -5, b) -1/5, c)5, d) 1/5,

Arturiano [62]

Answer:

The slope is a) -5.

Step-by-step explanation:

(-6, -4)

(-5, -9)

the difference in slope is $\frac{-9 - (-4)}{-5 - (-6)} = \frac{-9 + 4}{-5 +6} = \frac{-5}{1} = -5$

7 0

3 years ago

What is the probability that 1 or 2 are rolled on a number cube with sides numbered 1, 2, 3, 4,

choli [55]

Answer: $\frac{1}{3}$

Step-by-step explanation:

total sides = 6

p (rolling a 1) = $\frac{1}{6}$

p (rolling a 2) = $\frac{1}{6\\}$

Note:

or - add

and - multiply

∴ $\frac{1}{6} +\frac{1}{6} = \frac{2}{6}$

∴ $\frac{2}{6} = \frac{1}{3}$

hence, p (rolling a 1 or 2) = $\frac{1}{3}$

4 0

3 years ago

Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that

Anna007 [38]

Answer:

Step-by-step explanation:

Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

15 inches by 11 inches

6 inches by 3 inches

6 inches by 2 inches

16 inches by 8 inches

10 inches by 5 inches

15 inches by 7.5 inches

10 inches by 6 inches

8 0

3 years ago

BRAINLIEST FOR SOLVING THESE

slavikrds [6]

Answer:

1st a 2nd is c give me brianliest please pls pls

6 0

3 years ago

Equation of a line, in general form, that is perpendicular to 2x-3y + 7 = 0 and passes through the point (-3/4, 1)

TEA [102]

Answer:

12x +8y +1 = 0

Step-by-step explanation:

You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:

3(x-(-3/4)) +2(y -1) = 0

3x +9/4 +2y -2 = 0 . . . . eliminate parentheses

3x +2y +1/4 = 0 . . . . . . . simplify

To eliminate the fraction, multiply by 4:

12x +8y +1 = 0

_____

<em>Comment on the equation</em>

The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.

The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.

4 0

4 years ago