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3 years ago

7

I WILL GIVE YOU BRAINLIEST ,5 STARS⭐, AND THANKS❤️. (P.S. AT LEAST TWO PEOPLE GIVE ANSWER SO I CAN GIVE BRAINLIEST)

1 answer:

iren2701 [21]3 years ago

6 0

Answer: weight 40

Step-by-step explanation:

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What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

3 years ago

Need help please answer ASAP!

sladkih [1.3K]

Let's see

3x²-9x
3x(x-3)

3x is one factor

Other one is x-3

#2

Mass of 1000 protons

1000×Mass of one proton
1.67×10^{-24}×10³
1.67×10^{-21}g

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2 years ago

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From 12:00 to 6:00 a.m, the temperature decreased by 12°C. If the original temperature was 12°C, which expression can be used to

olchik [2.2K]

Answer:

A

Step-by-step explanation:

Temperature decreased by 12°C : (-12°C)

Expression:

12 + (-12) = 12 - 12

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3 years ago

If a polynomial function f(x) has roots -8,1, and -6i , what must also be a root of f(x) ?

kap26 [50]

Heya !

In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root of P.

Here , one complex root is given -6i hence , the other must be 6i.

Hope it helps you ! :)

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3 years ago

A new car valued at $16500 depreciates at a steady rate of 20% per year. What is the value of the car in 15 years

solniwko [45]

The answer is 145.15.

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3 years ago

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