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3 years ago

9

Simplify 8x + 4xy - 2y + 5xy - 3x + 7xy

1 answer:

hodyreva [135]3 years ago

3 0

1 6 x y - 2 y - 3 x

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Find the lateral area of the cone in terms of π.

Andreyy89

Answer:

$15\pi\ cm^{2}$

Step-by-step explanation:

we know that

The lateral area of the cone is equal to

$LA=\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=3\ cm$

Applying the Pythagoras Theorem find the slant height

$l^{2}=3^{2} +4^{2}\\ \\l^{2}=25\\ \\l=5\ cm$

substitute in the formula

$LA=\pi (3)(5)=15\pi\ cm^{2}$

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3 years ago

Please help me ASAP!!!! It is greatly appreciated!!! Will mark as Brainliest!!!!

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Answer: 5/4

Step-by-step explanation:

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3 years ago

Measurements of atoms, such as amounts, distances, and weights, are often very large or very small when compared to measurements

Ainat [17]

Answer:

Step-by-step explanation:

1)3.8 *10¹⁵

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7 0

3 years ago

Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter

Rudik [331]

Answer:

$y=-6x+10$

Step-by-step explanation:

The point of intersection of

$x+2y=9...eqn1$

and

$4x-2y=-4...eqn2$

is the solution of the two equations.

We add equation (1) and equation(2) to get,

$x+4x+2y-2y=9+-4$

$\Rightarrow 5x=5$

$\Rightarrow x=1$

We put $x=1$ into equation (1) to get,

$1+2y=9$

$\Rightarrow 2y=9-1$

$\Rightarrow 2y=8$

$\Rightarrow y=4$

Therefore the line passes through the point, $(1,4)$ .

The line also passes through the point of intersection of

$3x-4y=14...eqn(3)$

and

$3x+7y=-8...eqn(4)$

We subtract equation (3) from equation (4) to obtain,

$3x-3x+7y--4y=-8-14$

$\Rightarrow 11y=-22$

$\Rightarrow y=-2$

We substitute this value into equation (4) to get,

$3x+7(-2)=-8$

$3x-14=-8$

$3x=-8+14$

$3x=6$

$x=2$

The line also passes through

$(2,-2)$

The slope of the line is

$slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6$

The equation of the line is

$y+2=-6(x-2)$

$y+2=-6x+12$

$y=-6x+10$ is the required equation

4 0

4 years ago

What is the value of f(-1) when f(x)=2x+2? F(-1)=?

igomit [66]

Here is your function:

$f(x)=2x+2$

You're looking for f(-1). To get your answer, you have to replace all the x's with -1.

Here is your new equation:

$f(-1) = 2(-1)+2$

Multiply 2 by -1

$2 \times -1 = -2$

<em>Remember:</em>

MULTIPLYING

Positive(+) times negative(-) is equal to negative

Positive(+) times positive(+) is equal to positive

Negative(-) times negative(-) is equal to positive

Negative(-) times positive(+) is equal to negative

DIVIDING

Positive(+) divided by positive(+) is equal to positive

Positive(+) divided by negative(-) is equal to negative

Negative(-) divided by positive(+) is equal to negative

Negative(-) divided by negative(-0 is equal to positive

Since you're multiplying a negative number by a positive number, the answer will be negative.

Here is your new equation:

$f(-1) = -2+2$

Add -2 and 2:

$-2+2 = 0$

That means your answer is 0

↓

$f(-1)=0$

<em>If you have any questions, feel free to ask in the comments! :)</em>

5 0

3 years ago