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2 years ago

If m = 80° and m = 30°, then m 1 =

Mathematics

1 answer:

Bess [88]2 years ago

5 0

Answer:

Step-by-step explanation:

180-80-30=70

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Find the slope of the line: (4, 4), (5, 3)

fredd [130]

Answer:

-1

Step-by-step explanation:

we would use the slope formula which is y2-y2/x2-x1

so 3-4/5-4= -1

8 0

2 years ago

The average price of a barrel of crude oil in a recent year was 65.37. which estimated price is incorrect.

Nutka1998 [239]

Answer:

65.37 isn't an estimated price, it's an exact price....

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2 years ago

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kati45 [8]

D. Warm air rises and cool air sinks

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2 years ago

A scale drawing of a square has a side length of 9 inches. The drawing has a scale of 1 in. : 5 mi. Find the actual perimeter an

Dennis_Churaev [7]

Answer:

Area = 2025 miles²

Perimeter = 180 miles

Step-by-step explanation:

Given the following :

Scale of drawing = 1 inch : 5 miles

Length of side of the scale drawing = 9 inches

To find The actual perimeter and area of the square, we need ;

Actual length of the drawing :

1 inch = 5 miles

9 inches = (5 × 9) miles = 45 miles

Hence,

Area of a square = a²

Where a = side length

Actual side length = 45 miles

Actual area of square = 45² = 2025 miles²

Actual Perimeter of square :

Perimeter of a square = 4a

a = side length

Actual perimeter = 4(45) = 180 miles

6 0

2 years ago

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of the parabola for y=x^2+6x+13

charle [14.2K]

Answer:

Step-by-step explanation:

First we can determine the x value of our vertex via the equation:

$x=\frac{-b}{2a}$

Note that in general a quadratic equation is such that:

$ax^2+bx+c$

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.

Therefore we can determine the x component of the vertex by plugging in the values known and so:

$x=\frac{-b}{2a}=\frac{-6}{2(1)}=\frac{-6}{2}=-3$

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

$f(x)=x^2+6x+13\\\\f(-3)=(-3)^2+6(-3)+13\\\\f(-3)=4$

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:

x=-3

Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:

y=4

The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:

Range = All real numbers greater than or equal to 4.

4 0

3 years ago