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3 years ago

The roots of a quadratic equation are (1,0) and (-5,0). What is the axis of symmetry?

Mathematics

1 answer:

leva [86]3 years ago

8 0

Answer:

Step-by-step explanation:

The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.

The axis of symmetry is x = -2.

The 'halfway' value is also the 'average' of 1 and -5: -4/2, or -2.

The axis of symmetry is x = -2.

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Andrews [41]

Step-by-step explanation:

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3 years ago

Will mark BRAINLIEST!! — Point H is the circumcenter of triangle DEF. Which must be true? Check ALL that apply. See image.

Margarita [4]

Answer:

A, C, F

Step-by-step explanation:

Definition: The circumcenter is the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. If point H is the circumcenter of the triangle DEF, then the circumcircle passes through its vertices D, E and F (option A is true).

Option B is false, the circumcircle doesn't pass through the points L, M and N. This option is true for inscribed circle, not for circumcircle.

Option C is true, because HD and HE are the radii of the circumcircle.

Option D is false. This option is true for inscribed circle, not for circumcircle.

Option E is false. This option is true for inscribed circle, not for circumcircle.

Option F is true, because both these angles are right angles.

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3 years ago

2. Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 1

Yuki888 [10]

The area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The dimensions of the garden = 10 ft by 12 ft

Area = 10×12 = 120 square feet

The width of the walkway = 3 feet

If we create a walkway around the garden, it will be a rectangle around the garden.

So the dimensions for the bigger rectangle = (3+10+3) ft by (3+12+3) ft

Area of the bigger rectangle = 16×18 = 288 square feet

So the area of the walkway = 288 - 120 = 168 square feet

Thus, the area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

Learn more about the rectangle here:

brainly.com/question/15019502

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2 years ago

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VashaNatasha [74]

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c = (49.99 +9.95 +9.95 -10.00)m
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The cost of satellite TV (s) in terms of months is
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s - c = (125 +49.95m) -(59.89m)
s - c = 125 -9.94m

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s - c = 125 -9.94*12 = 5.72
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At 24 months, the difference in price is
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r-ruslan [8.4K]

Answer:

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Step-by-step explanation:

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