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3 years ago

Transform the formula for the area of a triangle to solve for the height, h

1 answer:

7 0

$A_\Delta=\frac{bh}{2}\\\\\frac{bh}{2}=A_\Delta\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\bh=2A_\Delta\ \ \ \ \ |divide\ both\ side\ by\ b\\\\\boxed{h=\frac{2A_\Delta}{b}}$

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So far you have mostly worked with equations. There are special types of equations, called functions, that have exactly one outp

amid [387]

Can you think of any other examples of functions?

Yes! Like putting a check in the bank, that is the input- and then the money you take is the output. You can even use food to compare input and output! Ingredients are the input, and the final dish/dessert is the output. If you wanted something more mathematical, you can use a graph to find the input and output. If you know a few points, you can create a whole line of x and y points, where x= input and y=output. You can also consider getting gas for your car, the money is the input, and the gas (in return) is the output. <== these are just a few examples.

Why might this type of equation be useful?

When you are trying to find the points for a line or looking for the unit price for something, functions can be very useful! You can find what y would be when x equals 1, 2, 3, 4, etc. I know I use this all the time! For example, trying to find the best price for something in the grocery store. There are a lot of options, and if you find the unit price with functions, it makes it easier to get the best deal.

I hope this helps!
~kaikers

4 0

3 years ago

Read 2 more answers

The point (3, 5) is reflected across the y-axis.

NeX [460]

(-3,5)

X coordinate becomes negative

7 0

3 years ago

What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures ar

Sergeeva-Olga [200]

Answer: 5/2 and 25/4

Step-by-step explanation:

6x5=30

6x2=12

...

say these were perfect squares,

12x12= 144

30x30= 900

900/144 = 25/5

8 0

3 years ago

01.05 what is the slope intercept form equation of the line that's passing through (1,3) and (3,7)

Butoxors [25]

Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . To use this formula, you need two points and also, you need to assign these points to $x_{1}$ , $x_{2}$ , $y_{1}$ , and $y_{2}$ .

In this case, $x_{1}$ and $x_{1}$ is assigned to the ordered pair (1,3), while $x_{2}$ and $y_{2}$ is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

$\frac{7-3}{3-1} =\frac{4}{2} = 2$

The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

y = 2x + b (substitute)

3 = 2(1) + b (simplify)

3 = 2 + b (subtract 2 from both sides)

1 = b

The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

7 0

3 years ago

ZanzabumX [31]

Note that the scale factor of B to A is (4 / 8) = 1/2

So....the volume of B =

Volume of A * (scale factor)^3 =

2720 * (1/2)^3 =

2720 * 1/8 =

340 cm^3

Hope this helps :)

7 0

3 years ago

Read 2 more answers