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2 years ago

How can you solve standard form and intercept form?

Mathematics

1 answer:

laiz [17]2 years ago

8 0

Answer:

The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.

Step-by-step explanation:

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PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an

sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18 where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2 + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square for minimum total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

3 0

2 years ago

Find the slope of the line graphed below.

Phantasy [73]

Answer:

Slope: -3/5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please do this for me <br><br> I am very lazy

Alexandra [31]

First, let's turn all the numbers into improper fractions so that we can find the answer easier.

-2 $\frac{1}{4}$ = r - $\frac{4}{5}$

- $\frac{9}{4}$ = r - $\frac{4}{5}$

Now we have to isolate 'r'.

First, we have to make sure that the variable is on one side and all the numbers are on the other side.

To do this, we have to add $\frac{4}{5}$ to both sides.

In order to do this, we need to ensure that both fractions have a common denominator.

- $\frac{9}{4}$ = r - $\frac{4}{5}$

Ensure that the denominators are the same:

$\frac{45}{20}$ = r - $\frac{16}{20}$

$\frac{45}{20}$ + $\frac{16}{20}$ = r

$\frac{61}{20}$ = r

Good luck!

6 0

3 years ago

On 7 jobs, a welder charges 3.5 hours, 9.5 hours, 4 hours, 5.5 hours, 12 hours, 8.5 hours, and 6 hours. Find the average hours b

defon

All you need to do is add all 7 job hours, and divide the total by 7. Your answer should be 7

3 0

3 years ago

Merina is scheduled to make two loan payments to Bradford in the amount of $1,000 each, two months and nine months from now. Mer

Svetach [21]

well, we're assuming all along that Merina owes Bradford $2000, because in the 1st scenario, she was going to pay twice $1000.

on the 2nd scenario, she'll be paying the same $2000 but split 7 months from now and then 7 months later, same 2000 bucks, at which point Bradford applied 8.5% interest.

using those assumptions, since the wording is not quite clear, we can say that Merina is simply paying 2000 bucks plus the 8.5%

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.5\% of 2000}}{\left( \cfrac{8.5}{100} \right)2000}\implies 170 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\stackrel{principal}{2000}~~ + ~~\stackrel{interest}{170}}{2}\implies \stackrel{\textit{two equal payments of}}{1085}$

6 0

1 year ago