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3 years ago

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Mathematics

1 answer:

zalisa [80]3 years ago

5 0

Answer:

$9a^2-4b^2$ is the correct answer.

Step-by-step explanation:

Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)

In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so

$9a^2-4b^2$ can be written as $(3a-2b)(3a+2b)$

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How do you figure out the area of a triangle?

andrew11 [14]

General formula for area of triangle is $A=\frac{h_bb}{2}$ .

Where:

$h_b$ is height of triangle perpendicular to base side of triangle.
$b$ is the length of base side of triangle.

Multiplying $h_b$ and $b$ results in rectangle, dividing that by 2 gives you area of a triangle.

Hope this helps.

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3 years ago

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How to write 103,727,495 in expanded form

aleksley [76]

100,000,000+3,000,000+700,000+20,000+7,000+400+90+5 hope this helps

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3 years ago

PLEASE HELP

valina [46]

Answer:

Step-by-step explanation:

You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic

$y=ax^2+bx+c$ using (0, 7):

$7=a(0)^2+b(0)+c$ gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):

$19=a(-2)^2+b(-2)+7$ and

$19=4a-2b+7$ so

12 = 4a - 2b

Now for the next point (-1, 12):

$12=a(-1)^2+b(-1)+7$ and

$12=a-b+7$ so

5 = a - b

Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:

12 = 4a - 2b

5 = a - b

Multiply the bottom equation by -4 to get a new system:

12 = 4a - 2b

-20 = -4a + 4b

Add those together to get rid of the a terms and end up with

-8 = 2b so

b = -4

Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:

5 = a - (-4) and

5 = a + 4 so

a = 1 and the equation for the quadratic function is

$y=x^2-4x+7$

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3 years ago

Help pls, I need Help :D

Oliga [24]

Answer:

5

Step-by-step explanation:

Step 1. Get two points off the graph

Points: (-70, 0) and (-60, 50)

Step 2. Use the two points to find the slope

m = slope

m = change in y/change in x

m = y2 - y1/x2 - x1

m = 50 - 0/-60 - -70

m = 50/10

m = 5/1

m = 5

The slope is 5

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2 years ago

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the r

Genrish500 [490]

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

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3 years ago

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