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miss Akunina [59]

3 years ago

12

Suppose Phil and Kate decide to drive the sports car to Nashville without stopping and they want to arrive by 5:00pm. What time

should they leave their house?
It’s takes 7 hours and 52 minutes to get to Nashville.

1 answer:

belka [17]3 years ago

8 0

Answer:

9:52 Am

Step-by-step explanation:

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Find the measure of each angle in the triangle.

Maru [420]

Answer:

25, 70, 85

Step-by-step explanation:

x+2x+20+3x+10=6x+30

6x+30=180

6x=150

x=25

The angles are 25, 70, and 85

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3 years ago

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How can you tell the difference between a ray and a line segment? Draw and label an example of each below

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Answer:

a ray has a point on one end and an arrow on the other

a line segment has a point on both ends

Step-by-step explanation:

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3 years ago

Two transformations are performed on a figure on a coordinate plane. The first transformation is translated 6 units up and 3 uni

Bess [88]

Answer:

The last answer choice

Step-by-step explanation:

This transformation doesn't not keep its congruent

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3 years ago

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The largest possible circle is to be cut from a 12-foot square board. Calculate the approximate area, in square feet, of the rem

olchik [2.2K]

------------------------------------------------------------------------------
Find Area of the circle:
------------------------------------------------------------------------------
Area of a circle = πr²
Area of the largest possible circle = π x(12 ÷ 2)²
Area of the largest possible circle = 113.10 ft²

------------------------------------------------------------------------------
Find Area of the square board:
------------------------------------------------------------------------------
Area of a square board = Length x Length
Area of the square board = 12 x 12
Area of the square board = 144 ft²

------------------------------------------------------------------------------
Find area of the remaining board:
------------------------------------------------------------------------------
Area of the remaining board = 144 - 113.10
Area of the remaining board = 30.90 ft²

------------------------------------------------------------------------------
Answer: The area of the remaining board is 30.90 ft².
------------------------------------------------------------------------------

5 0

3 years ago

What is the vertex of the function f (x) = x2 - 10x?<br>(5,-25)<br>(5.-75)<br>(-5,75)<br>(-5,25)

JulsSmile [24]

Option A

The vertex is (h, k) = (5, -25)

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

$f(x) = x^2-10x$

<em><u>The vertex form is given as:</u></em>

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

<h3>where (h, k) is the vertex</h3>

Rewrite the equation in vertex form

$f(x) = x^2-10x$

Complete the square for $x^2-10x$

Use the form $ax^2+bx+c$ to find the values of a, b, c

a = 1 , b = -10, c = 0

Consider the vertex form of a parabola

$a(x+d)^2+e$

Substitute the values of a and b into the following formula to find "d" :

$d = \frac{b}{2a}\\\\d = \frac{-10}{2 \times 1}\\\\d = -5$

Find the value of "e" using the formula,

$e = c - \frac{b^2}{4a}\\\\e = 0 - \frac{(-10)^2}{4 \times 1}\\\\e = -25$

Substitute the value of a, d, e into vertex form

$a(x+d)^2+e\\\\1(x-5)^2-25\\\\(x-5)^2-25$

Set y equal to above equation

$y = (x-5)^2-25$

Compare the above equation with vertex form

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

$y = (x-5)^2-25$

We find, h = 5 and k = -25

Thus the vertex is (h, k) = (5, -25)

7 0

4 years ago