How do you solve these?

Answers

Answer 1

Answer: #2
2x^2 +9x-18
= (2x-3)(x+6)

#3
(3x+4)(2x-3)3
= (6x^2 + 8x - 9x - 12)3
= (6x^2 - x - 12)3
= 18x^2 -3x - 36

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1.05555555556 as a fraction

Answers

That number as a fraction is 19/18

As topheavy: 19/18
Or as a mixed number: 1 1/18

In the rhombus, m<1=18x, m<2-x+y, and m<3=30z. Find the value of x+y+z. The diagram is not drawn to scale.(1point)

Answers

x + y = 18x y = 17x18x = 30z x = 30z/1830z = 18x z = 18x/30 hope that helps

A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle ofπ 6?

A)3 in2
B)6 in2
C)12 in2
D)196 in2

Answers

A central angle : π / 6 = 30 °
30 ° = 360 ° / 12
The area of the sector is 1/12 of the area of a circle.
Therefore area of the sector is:
A = 36 π / 12 = 3 π
Answer: A ) 3 π in²

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Area of a circle = 36π in²

As we know the formula for "Area of circle ":

$Area=\pi r^2\n\n36\pi=\pi r^2$

Now, we need to calculate the area of sector.

As we know the formula for "Area of sector":

$Area\ of\ sector=(\theta)/(360\textdegree)\pi r^2\n\nArea\ of\ sector=(30)/(360)* 36\pi \n\nArea\ of\ sector=(1)/(12)* 36\pi\n\nArea\ of\ sector=3\pi\ in^2$

Hence, Option 'A' is correct.

Explain why the value of k cannot be equal to 0

Answers

if you mean k as a constant then k ≠ 0 because 0 is not a constant, there would be no relationship if k = 0

The measures of the exterior angles of a heptagon are x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x°. Solve for x.

Answers

The value of x in the for an heptagon with exterior angles as x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x° is 10.

What are heptagon:

Heptagons are polygons with seven sides.

The sum of exterior angles of a polygon is equals to 360 degrees.

Therefore,

x + 2x + 3x + 4x + 7x + 9x + 10x = 360°

36x = 360

divide both sides by 36

36x / 36 = 360 / 36

x = 10

Therefore, the value of x is equals to 10

learn more on polygon here: brainly.com/question/22387429?referrer=searchResults

Final answer:

The heptagon's exterior angles sum up to 360 degrees. Given the angles are x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x°, summing and setting equal to 360 yields a value of 10 for x.

Explanation:

The subject of this question is Mathematics, specifically pertaining to angles and geometry. The question pertains to a heptagon, or a seven-sided polygon, and its exterior angles. We know that the sum of the exterior angles of any polygon is 360 degrees.

The question provides the measures of the exterior angles of a heptagon in terms of x: x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x°. Therefore, to find the value of x, we need to solve the equation x + 2x + 3x + 4x + 7x + 9x + 10x = 360. That results in 36x = 360, and so .

Learn more about Angles and Geometry here:

brainly.com/question/16836548

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Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? A.a shift down 1 unit
B.a shift left 7 units
C.a shift right 1 unit
D.a shift up 7 units