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AnnyKZ [126]
3 years ago
14

PLSSSSSSSS HEEELLLLPPPPP

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0
For rhombus A:
base = 7 in
area = 35 in²

Area of rhombus = b * h
⇒ 35 = 7 * h
⇒ h = 35/7
⇒ h = 5 in

Rhombus B:
height = 3*5 = 15 in
base = 7*3 = 21 in
Area = 15 * 21 = 315 in

Area of rhombus B is 9 times area of rhombus A. When the dimensions are increased to 3 times the initial dimension, area became 9 times.






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erastova [34]

Answer:

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Step-by-step explanation:

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2 years ago
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The larger of two numbers is 5 less than twice the smaller. Their sum is 43. Find the numbers.
tatyana61 [14]
Let's set up an equation.
smaller number = x
larger number = 2x - 5
Now set up the equation so that the larger number plus the smaller number adds up to 43.
x + 2x - 5 = 43
3x - 5 = 43 ( I added the x and 2x)
3x = 48 ( I added 5 to both sides)
x = 16 (I divided both sides by 3)

Now let's check it. Substitute 16 for every time there is an x.

16 + 2(16) - 5 = 43
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48 - 5 = 43
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Hope this helps =)
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3 years ago
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Olenka [21]

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cestrela7 [59]

Answer:

In layman's terms, the zero product property is simply a way of saying "anything times zero equals zero".

The x intercepts happen at (0.5, 0), and (-3, 0).

The vertex is a minimum.

The y-intercept happens at (0, -3).

For the last question, graphing f(x) can be done by taking a few key points (the vertex and x-intercepts are very good, as well as the vertex ± 1, 2, etc.).  By that point you have enough data to sketch the curve.  It helps to know in advance what the general shape of the function will be.  In the case of a quadratic function, it will always be a parabola.

Step-by-step explanation:

Let's start by factoring the function:

f(x) = 2x² + 5x - 3

f(x) = 2x² - x + 6x - 3

f(x) = x(2x − 1) + 3 (2x−1)

f(x) = (x + 3)(2x - 1)

Now that we have it factored, finding its x intercept is quite easy.  We just need to see which values of x would would give a y value of zero.  That may sound backward, but note that when y is equal to zero, the graph is touching, or intercepting, the x-axis.

So if we say:

0 = (x + 3)(2x - 1)

then there are two solutions.  First:

0 = (x + 3)(2x - 1)

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

0 = 2x - 1

2x = 1

x = 0.5

And the other:

0 = (x + 3)(2x - 1)

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

0 = x + 3

x = -3

So the x intercepts happen at (0.5, 0), and (-3, 0).

Next, regarding whether the vertex is a maximum or minimum, you can find this by the coefficient of the highest power of x in the function.  If the coefficient is negative, then the vertex is a maximum.  If it's positive, then it's a minimum.  In this case the coefficient is 2, so the vertex is a minimum.

For part C, finding the y intercept is easy enough.  Again, counter-intuitively the y intercept happens when x is equal to zero.  So we just need to replace x with zero in the original equation to find it:

f(x) = 2x² + 5x - 3

f(0) = 2(0)² + 5(0) - 3

f(0) = -3

So the y-intercept happens at (0, -3).

8 0
2 years ago
Help what is the complete order pair rule?
kondor19780726 [428]
The x values move right 3, so (x+3).
The y values move down 5, so (y-5)
8 0
3 years ago
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