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3 years ago

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ΔLʹMʹNʹ is a dilation of ΔLMN with the origin as the center of dilation. The coordinates of the vertex of ∠LMN are (40, 55). If

the scale factor is , what are the coordinates of the vertex of ∠LʹMʹNʹ? ( , )

1 answer:

Kitty [74]3 years ago

5 0

Your answer is (8,11)

Multiply both 40 and 55 by

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Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s

Lilit [14]

Answer:

$y-2=\displaystyle -\frac{3}{4}(x-1)$

OR

$y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

Step-by-step explanation:

Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where <em>m</em> is the slope of the line and $(x_1,y_1)$ is a given point

Given that the slope is -3/4, we can plug it into $y-y_1=m(x-x_1)$ as <em>m</em>:

$y-y_1=\displaystyle -\frac{3}{4}(x-x_1)$

We can also plug in the given point (1,2):

$y-2=\displaystyle -\frac{3}{4}(x-1)$

Slope-intercept form: $y=mx+b$ where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate <em>y</em>:

$y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

I hope this helps!

8 0

2 years ago

PLEASE HELP ASAP this is for Distribution Area Model (Algebraic) :(

gayaneshka [121]

I believe that answer is 54

8 0

3 years ago

The points p(a,b,c) and q(2,3,5) are symmetric about the point(4,0,1) find r

scoray [572]

I think it is i dont know

3 0

3 years ago

The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard

tresset_1 [31]

Answer:

A = 413 sq feet

Step-by-step explanation:

The area of the yard = area of rectangle - area of semicircle

The radius of the semicircle, r = 10 feet

The length of the rectangle = 38.5 - 10 = 28.5 feet

So,

The area of the yard = lb - (πr²/2)

$=20\times 28.5-(\dfrac{3.14\times 10^2}{2})\\\\A=413\ ft^2$

So, the required area is equal to 413 sq feet.

5 0

2 years ago

What is the domain for exponential functions?

Zina [86]

The domain for exponential functions will be all real numbers. Then the correct option is C.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The exponential function is given as,

Let a be the initial value and x be the power of the exponent function and b be the increasing factor. The exponent is given as

y = a(b)ˣ + c

Where c is the addition constant.

The domain for exponential functions will be all real numbers.

And the range of the exponential functions will depend upon the equation.

Then the correct option is C.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

7 0

1 year ago