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3 years ago

Find a cubic function with the given zeros. (2 points) Square root of six. , - Square root of six. , -3

1 answer:

8 0

Given these three roots, we can write the polynomial as P=(x+\sqrt(6))*(x-\sqrt(6))*(x+3), which is a cubic function. (x+\sqrt(6))*(x-\sqrt(6))=x^2-6. (x^2-6)(x+3)=x^3+3x^2-6x-18.

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A flower pot has 6 sides that are all tha same length. Each side measures x -6 units, the bases perimeter is 78 units. What is t

lakkis [162]

Answer:

The value of x is $19\ units$

Step-by-step explanation:

we know that

The perimeter of flower pot is equal to

$P=6(x-6)$

we have

$P=78\ units$

substitute and solve for x

$78=6(x-6)$

$13=(x-6)$

$x=13+6=19\ units$

7 0

3 years ago

Which transformation of Figure A results in Figure A' ?

MariettaO [177]

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

<u>Option B: a counterclockwise rotation of 90° about the origin </u>

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by

$(x,y)\implies (-y,x)$

Let us substitute the coordinates of the figure A

Thus, we have,

$(0,2)\implies(-2,0)$

$(-1,6)\implies (-6,-1)$

$(-4,4)\implies(-4,-4)$

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

3 0

3 years ago

Read 2 more answers

The coordinates of the vertices of the triangle shown are A(1, 1), B(5, 1), and C(1, 5). Which measurement is closest to the len

vichka [17]

Answer: Is 5.7

Step-by-step explanation:

C=4x4=16 A=4x4=16

16+16=32

32^=5.7

8 0

3 years ago

Do the write a relation as a set of five ordered pairs then express the relation using a:

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Table

4 0

3 years ago

Which statements are true? select two options. δabc is-congruent-to δbxc δaxc ~ δcxb δbcx is-congruent-to δacx δacb ~ δaxc δcxa

aliina [53]

Based on the properties of similar triangles, the two true statements are:

ΔAXC ≅ ΔCXB.
ΔACB ≅ ΔAXC.

<h3>The properties of similar triangles.</h3>

In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the properties of similar triangles, we have the following points:

∠A in ΔAXC matches ∠A in ΔABC and ∠C in ΔCXB.

∠C in ΔAXC matches ∠B in ΔABC and ∠B in ΔCXB.

∠X in ΔAXC matches ∠C in ΔABC and ∠X in ΔCXB.

In this scenario, we can can logically deduce that the two true statements are:

ΔAXC is congruent to ΔCXB (ΔAXC ≅ ΔCXB).
ΔACB is congruent to ΔAXC (ΔACB ≅ ΔAXC).

Read more on similar triangles here: brainly.com/question/7411945

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4 0

2 years ago