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3 years ago

What’s the axis of symmetry?

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

Answer:

x = -1

Step-by-step explanation:

With the axis of symmetry, think of it as where you would slice this line in half, and both sides would look identical to each other. Since this is a quadratic function, this would be at where the vertex is.

The vertex is the part of the line where it "turns" around and starts going the other way. So vertex of this line is at (-1, 3).

Therefore, the axis of symmetry is at x = -1. This is since the function is pointing either up/down, and any value that is x = _ is a vertical line.

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Eve is making a bird house. To make the walls she takes a piece of wood and cuts it into 4 pieces in the ratio 5:6:6:7. The long

allsm [11]

Answer:

The original piece of wood is 108 cm

Step-by-step explanation:

From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7

Let the original piece of wood be x

so the sum of the ratios will be;

5 + 6 + 6 + 7 = 24

the shortest length would be 5/24 * x

= 5x/24

the longest will be 7/24 * x = 7x/24

From the question;

7x/24 -5x/24 = 9

(7x-5x) = 24(9)

2x = 24(9)

x = (24 * 9)/2

x = 108 cm

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2 years ago

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ANTONII [103]

Answer:

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2 years ago

Which is an equation for the line with a y -intercept of zero and a slope of 5?

Vitek1552 [10]

Answer:

y = 5x

Step-by-step explanation:

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2 years ago

A gene carries the______ for a trait.

MrRissso [65]

Answer:

A gene carries the <u>information</u> for a trait.

Step-by-step explanation:

Just got it right on edge

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2 years ago

A rectangle is 6 units wide and x-8 units long. It has the same area as a triangle with the height of 7 units and a base of x-3

Snowcat [4.5K]

AREA OF A RECTANGLE IS 42 UNITS

Rectangle: Triangle:
A = L * W    A = hb / 2
A = (x-8) * 6    A = (7(x-3)) / 2
A = 6x - 48 A = (7x - 21) / 2

Since the problem states that both rectangle and triangle have the same area.Then:

6x - 48 = (7x - 21) / 2

1) Eliminate the denominator 2 by multiplying both sides by 2.

2 * (6x - 48) = 2 * ((7x - 21) / 2)
12 x - 96 = 7x - 21

Find x. Transfer like numbers and change their signs.

12x - 7x = 96 - 21
5x = 75
5x / 5 = 75 / 5
x = 15

Substitute x by its value:

Rectangle: Triangle
A = (x-8) * 6 -      A = (7(x-3)) / 2 Areas of both Rectangle
A = (15 -8 ) * 6    A = (7(15-3)) / 2 and Triangle is the same.
A = 7 * 6     A = (7 * 12) / 2
A = 42 units A = 84 / 2
   A = 42 units

5 0

2 years ago