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3 years ago

Write 10x7 – 9x2 + 15x3 + 9 in standard form. Question 5 options:

Mathematics

2 answers:

hjlf3 years ago

8 0

I think the answer is B

Gelneren [198K]3 years ago

6 0

Answer:

Option B.

Step-by-step explanation:

The given polynomial is

$10x^7-9x^2+15x^3+9$

In standard form of a polynomial, the terms are arranged according to its degree from left to right. It means term with highest degree should be on the left side.

Degree of $10x^7,-9x^2,15x^3\text{ and }9$ are 7, 2, 3 and 0.

Arrange the terms according to its degree.

$10x^7+15x^3-9x^2+9$

Hence, the correct option is B.

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What solution set below

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3 years ago

Y intercept = 1 and parallel to y = 4x - 3

gregori [183]

When a line is parallel to another line, that means both lines have the same slope.

Since the standard form equation for a line is y = mx + b where m is our slope and b is our y-intercept, we know that the new equation will also have m=4.

They give us the y-intercept, b=1

So oue new equation is as follows...

y = 4x + 1

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3 years ago

A particular circle in the standard (x,y) coordinate

matrenka [14]

For any circle with Cartesian equation
$(x-a)^2 + (y-b)^2 = r^2$ ,
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7 0

3 years ago

Find the area of the triangle enclosed by these lines with the following vertices. y = x, x = 0, y = 5 (0,0), (0,5), (5,5)

Lina20 [59]

The are of the triangle will be 12.5 units.

On marking the given vertices (0,0), (0,5), (5,5) of the triangle we get, the base of the triangle = 5 units and height of the triangle = 5 units.

Now, we know area of triangle = $\frac{Base * Height}{2} \\ \\ = \frac{5 *5}{2} \\ \\ = \frac{25}{2} \\ \\ = 12.5 units.$

4 0

3 years ago

MATH HELP!

Irina18 [472]

You have the correct answer. Nice work. If you need to see the steps, then see below

-------------------------------------------------------------------------------

First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1

Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3

So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint

---------------------

Now we must find the slope of segment HI

H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3

So the slope of the perpendicular bisector is -3

-----------------------

Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0

So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x

So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)

7 0

3 years ago