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2 years ago

Select the statement that best justifies the conclusion based on the given information.

Mathematics

1 answer:

CaHeK987 [17]2 years ago

8 0

9514 1404 393

Answer:

c. If a plane contains a line, it contains the points on the line.

Step-by-step explanation:

The only statement relating a point on a line to the plane containing the line is the one shown above.

_____

<em>Additional comment</em>

Identifying true statements is a reasonable strategy for many multiple-choice questions. Another strategy that can be employed is finding the one true statement that is <em>relevant to the question being asked</em>.

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Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

7 0

2 years ago

If EF bisects CD.CG = 5x - 1, GD = 7x-13, EF = 6x - 4, and GF = 13. find EG.

Iteru [2.4K]

Answer:

EG = 19

Step-by-step explanation:

* Lets explain how to solve the problem

- If a line bisects another line that means the point of intersection

divides the second line into two equal parts

∵ EF bisects CD at G

∴ CG = GD

∵ CG = 5x - 1

∵ GD = 7x - 13

∴ 7x - 13 = 5x - 1

* Lets solve the equation

∵ 7x - 13 = 5x - 1

- Subtract 5x from both sides and add 13 to both sides

∴ 7x - 5x = 13 - 1

∴ 2x = 12

- Divide both sides by 2

∴ x = 6

- Point G divides EF into two parts EG and GF

∴ EF = EG + GF

∵ EF = 6x - 4

- Substitute the value of x to find EF

∵ x = 6

∴ EF = 6(6) - 4 = 36 - 4 = 32

∴ EF = 32

∵ GF = 13

- Substitute the values of EF and GF in the equation of EF

∴ 32 = EG + 13

- Subtract 13 from both sides

∴ 19 = EG

* EG = 19

3 0

3 years ago

the area of a bathroom floor measures 3 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square yards.

wel

Using the area, the number of tiles needed to cover the floor is 6.

The area is the region bounded by the shape of an object.

Therefore, the bathroom floor measures 3 yards by 3yards.

Hence the area of the bathroom floor can be calculated as follows;

area of the bathroom floor = 3 × 3

area of the bathroom floor = 9 yards²

The area of the custom tiles that makes the flooring is 1 1 /2 square yards.

Hence,

number of tiles needed to cover the floor = 9 ÷ 3 /2

number of tiles needed to cover the floor = 9 × 2 / 3

number of tiles needed to cover the floor = 18 / 3

number of tiles needed to cover the floor = 6

learn more on area here: brainly.com/question/946354

#SPJ1

4 0

7 months ago

Help please!!! Thxxxxx

nydimaria [60]

Answer:

Step-by-step explanation:

6 0

3 years ago

5/8 and 6/14 as a decimal

Brilliant_brown [7]

Answer:

5/8= 0.625

6/14= 0.42

Step-by-step explanation:

5 divided by 8

6 divided by 14

4 0

3 years ago