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frez [133]
3 years ago
9

May someone help me?

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Answer:

Step-by-step explanation:  To find the slope we can use the equation (y2-y1/x2-x1). So we can use the points (2,7) and (3,9). The equation would look like (9-7/3-2). This solves to 2/1. This equation can be solved either way just make sure that you put the values in order like the reverse of this equation would be (7-9/2-3 which equals 2/1.  Now that we have the slope we can use this to find the y-intercept. The formula is y=x + ?. For this instance we will use (2,7) for this so the equation will be 7= 2/1 * 2 + x. This solved equals 4 + 3= 7. With this we now know that y is equal to 3. So your slope formula will be 2/1x + 3 now with this we can solve for y when x = 8. 2/1(8) + 3 = 19. I hope this helps

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Darnel has $9 in a savings account. The interest rate is 10%, compounded annually.
aksik [14]

9514 1404 393

Answer:

  $2.98

Step-by-step explanation:

The amount of interest earned is ...

  I = P((1 +r)^t -1)

  I = $9(1.1^3 -1) ≈ $2.98

Daniel will earn about $2.98 in interest in 3 years.

6 0
3 years ago
Virginia beach is about 20 miles wide and 28 miles long. if one inch of rain falls there during a daily rain shower, how many cu
S_A_V [24]
In this question, you are given the width( 20 miles), the length(28 miles) and the height( 1 inch). You are asked to count the rain water volume which was going with formula length x width x height. But the unit asked is ft, so you need to convert them all. The calculation would be:

Water volume= length x width x height
Water volume= 20 miles x 5280ft/miles x 28 miles x 5280ft/miles x 1inch x 1ft/12inch
Water volume = 1300992000 cubic ft.
6 0
3 years ago
Read 2 more answers
Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f
GalinKa [24]

Answer:

\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in \mathbb{R}.

\\f(x)=(x^2+16)(x^2-2x-15)

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}

And we can write in \mathbb{C}

f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
Provide an Example of how to draw transformed figures that are translated, reflected, and rotated.
Paladinen [302]

A coordinate grid is very handy when it comes to drawing geometric shapes such as triangles. Let's create an example triangle ABC with the locations

A = (2,3)

B = (9,5)

C = (4,-10)

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A' = (0, 3)

B' = (7, 5)

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Plot triangle A'B'C' and you should see that this is a shifted copy of triangle ABC.

The rotation rules are a bit more complicated, and it depends where you place the center of rotation; however, it is possible to use coordinate math like done above.

Luckily the reflection rules over the x or y axis are fairly simple. If we reflect over the x axis, then we flip the sign of the y coordinate. Or if we wanted to reflect over the y axis, we flip the sign of the x coordinate.

Example: A' = (0,3) reflects over the x axis to get A'' = (0, -3)

7 0
3 years ago
A set of 3 nonzero whole numbers that form the sides of a right triangle are called a Pythagorean ___.
victus00 [196]

A set of 3 nonzero whole numbers say (a,b,c) that form the sides of a right triangle and follow the pythagorous theorem

a^2+b^2=c^2\\

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The example of Pythagorean Triplet are

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Hence

A set of 3 nonzero whole numbers that form the sides of a right triangle are called a Pythagorean Triple.

4 0
3 years ago
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