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3 years ago

URGENT!! GEOMETRY TRANSLATIONS. INCLUDE EXPLANATION IF POSSIBLE

Mathematics

1 answer:

STatiana [176]3 years ago

3 0

First find the new coordinates for P and Q after the translations:

P'(2 + 3, 4 - 4) = P'(5, 0)

Q'(-3 + 3, 2 - 4) = Q'(0, -2)

Now, find the slope from this:

(0 - (-2))/(5 - 0) = 2/5

The slope has remained the same. It is important to note that after any translation, the slope will always remain the same. However, this is not always so for rotations and reflections.

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Can you help me find the volume base area latera area and total area please to this problem

krek1111 [17]

Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

$\pi r^2\\= \pi ( 5 )^2\\= 25\pi$ - Base Area = 25π

______

The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, $l= \sqrt{r^2+h^2}$ -

$\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi$ - Lateral Area = 25√2π

______

And the surface area is the base area + lateral area -

$25\pi + 25\sqrt{2} \pi$ - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

$1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi$ - Volume = 41 and 2 / 3π

8 0

2 years ago

6 to power 8 / 6 to power of 6 equals what does the slash mean. How do I calculate

artcher [175]

Step-by-step explanation:

From your problem statement, I believe the equation will look like this:

$\frac{6^{8}}{6^{6}}$

The slash means "divided by" -- you should use division to solve this equation.

For division involving exponents with the same base, you can use the following rule:

$\frac{A^{x}}{A^{y}} = A^{x - y}$

Subtituting $6$ for $A$ , $8$ for $x$ and $6$ for $y$ , we get the following:

$\frac{6^{8}}{6^{6}} =6^{8 - 6} = 6^{2} = 36$

3 0

2 years ago

Which are the solutions to the quadratic equation x^2=9x+6

AlekseyPX

I will use a quadratic formula:

$x^2=9x+6\ \ \ \ |-9x-6\\\\x^2-9x-6=0\\\\a=1;\ b=-9;\ c=-6\\\\b^2-4ac=(-9)^2-4\cdot1\cdot(-6)=81+24=105\\\\\sqrt{b^2-4ac}=\sqrt{105}\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-(-9)-\sqrt{105}}{2\cdot1}=\dfrac{9-\sqrt{105}}{2}\\\\x_2=\dfrac{-(-9)+\sqrt{105}}{2\cdot1}=\dfrac{9+\sqrt{105}}{2}$

5 0

3 years ago

If a=3 and b=5 , then ab/15 + a(6+7b) =

stich3 [128]

Answer:

124

Step-by-step explanation:

3x5/15=1

1+3(6+35)

1+18+105=

124

8 0

3 years ago

Read 2 more answers

If the exchange rate changes from $1.45 = 1 euro to $1.37 = 1 euro, then

Leto [7]

The euro has depreciated and the dollar as appreciated

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3 years ago