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Orlov [11]
3 years ago
14

Combine Like Terms: x^2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

Mathematics
1 answer:
Serga [27]3 years ago
8 0

Answer:

x^2 + 4y^2 + 6x + 4

Step-by-step explanation:

Arranging the terms;

x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 6x + 2 + 2

x^2 + 4y^2 + 6x + 4

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Graph the function f(x) = (x + 1)(x - 5). Use the drop-
hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0
3 years ago
What is the length of BC? If your answer is not an integer, leave it in simplest radical form?
nexus9112 [7]
ANSWER

|BC|=12\sqrt{2}\: ft

EXPLANATION

The given right triangle is an isosceles triangle because

m \: < \: B = 45 \degree = m \: < \: C
This implies that,

|AB|=12ft=|AC|

From the Pythagoras Theorem,

|BC|^2=|AB|^2+|AC|^2

|BC|^2= {12}^{2} + {12}^{2}

|BC|^2=2 \times {12}^{2}

|BC| = \sqrt{ {12}^{2} \times 2 }

|BC|=12\sqrt{2}\: ft
7 0
3 years ago
Read 2 more answers
Find the product.<br> (x2+3x+7)(x^7)=<br><br><br> Please help :)
Nesterboy [21]

Answer: x^9+3x^8+7x^7

Step-by-step explanation:

the ^ mean the exponent

4 0
2 years ago
Complete the missing value in the solution to the equation:<br> 8x + x - y = 2x + 12 + 2y<br> ( ,3
Digiron [165]
The answer to the missing value is X = 3

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3 years ago
Find the area of the composite shape below.
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