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3 years ago

Help please

1 answer:

lisabon 2012 [21]3 years ago

3 0

On the map the ratio is 3cm:4km
The map distance is 24cm

Our overall ratio is 3 : 4
24 : ?
We can find the scale factor by doing 24/3 which is 8. Then do 8 x 4 = 32km

The actual distance is therefore 32km

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Consider the quadratic function:

Mice21 [21]

Answer:

vertex is (4,-25)

Step-by-step explanation:

$f(x) = x^2 - 8x - 9$

To find out the vertex we use formula

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

From the given f(x), the value of a=1, b=-8 and c=-9

Plug in the values in the formula

$x=\frac{-(-8)}{2(1)}$

x=4

Now find the value of y

plug in 4 for x in f(x)

$f(4) = 4^2 - 8(4)- 9=-25$

The value of y is -25

The vertex is (4,-25)

3 0

3 years ago

Read 2 more answers

In one month, the median home price in the West fell from $203,400 to $192,300. Find the percent decrease.

nasty-shy [4]

Answer:

94.5%

Step-by-step explanation:

Percent decrease can be represented as

[original price] * percentage = [new price]

When trying to find the percentage, you can manipulate the equation by dividing both sides by the original price to get:

percentage = [new price] / [original price]

In this case, this is represented by 192300/203400, or 94.5%

4 0

3 years ago

Find the area of the figure. Round your answer to the nearest tenth.

Ulleksa [173]

Answer:

Area of the parallelogram= $10\sqrt{3} m^2$

Step-by-step explanation:

Area of a parallelogram = Length * Perpendicular height

To find the perpendicular height of the parallelogram:

Using given angle 60° in the triangle.

$sin(60)=\frac{Perpendicular}{Hypotenuse}$

$\frac{\sqrt{3} }{2}=\frac{Perpendicular}{4} \\\\Perpendicular=\frac{4\sqrt{3} }{2} \\\\Perpendicular=2\sqrt{3} m$

Area of the Parallelogram:

$=5*2\sqrt{3}\\\\ =10\sqrt{3}$

Area of the parallelogram= $10\sqrt{3} m^2$

7 0

3 years ago

Plz help thank u for number 9 and 10

saw5 [17]

It is 6 for number 9 glad I could help

7 0

3 years ago

Read 2 more answers

Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over

Virty [35]

The area of the triangle which is formed as described is; 60.

<h3>What is the area of the triangle formed?</h3>

According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).

It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.

Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.