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3 years ago

Graph and its image after a rotation of 90 counterclockwise about the origin.

Mathematics

2 answers:

shtirl [24]3 years ago

5 0

Answer:

option (D)

Step-by-step explanation:

Option (A) is rotation of 90° clockwise about origin.

Option (B) is rotation of 180° clockwise about origin.

Option (C) is the reflection about the origin.

Option (D) is rotation of 90° counterclockwise about origin and hence it is the correct answer.

pickupchik [31]3 years ago

5 0

D is the correct answer. Hope this helps!

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Show work and Factor 4x^2+xy-18y^2

grigory [225]

Answer:

$4x^2+xy-18y^2=(4x+9y)\,(x-2y)$

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

$(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2$

so we want the following to happen:

$a\,c = 4\\ad+bc=1\\bd--18$

Notice as well that $ad+bc =1$ means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product $bd=-18$ , then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that $a\,\,and \,\,c$ are positive.

We can then try combinations for $a\,\,and \,\,c$ such as:

$a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4$

Just by selecting the first one $(a=4;\,\,c=1)$

we get that $4d_b=1\\b=-4d-1$

and since

$bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0$

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

$d=-18/(-2)\\d=9$

Now we have a good combination of parameters to render the factoring form of the original trinomial:

$a=4; \,\,b=9;\,\,c=1;\,\,d=-2$

which makes our factorization:

$(4x+9y)\,(x-2y)=4x^2+xy-18y^2$

6 0

3 years ago

Find the slope and y-intercept of the line

Serhud [2]

Answer:

Step-by-step explanation:

The slope is 1. Note how each time x increases by 1 unit, y also increases by 1 unit.

The y-intercept is (0, -1).

Answer C is correct.

5 0

3 years ago

Solve for x: −2x − 4 > 8 x < −6 x > −6 x < −2 x > −2

Yuki888 [10]

Answer:

x > -6

Step-by-step explanation:

-2x - 4 > 8

collect like terms

-2x > 8 + 4

-2x > 12

Divide both sides by -2, we will have

x > 12/-2

x > -6

8 0

4 years ago

Read 2 more answers

Use the graph to determine the vertex point of the quadratic function. Is the vertex a

Feliz [49]

Answer:

B) Vertex (1,2), maximum

Step-by-step explanation:

First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a maximum value.

The maximum is the point that has the greatest y value. We can see that the greatest y value is at $y=2$ . Going down two units from that spot, we can see that the x value is at $x=1$ . We can plug those into the vertex form, $(x,y)$ . By plugging in we get the point $(1,2)$ .

5 0

3 years ago

$ 12 Select the box in each rowia WA 6

scoundrel [369]

I’m sorry, but could you provide more details to your question?

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3 years ago