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3 years ago

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

Mathematics

1 answer:

Svet_ta [14]3 years ago

7 0

Answer:

Since, the coordinates of the given triangle are (0,0), (4,-4) and (-4,-2)

In the dilation by the scale factor k with centered at origin,

$(x,y)\rightarrow (kx,ky)$

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the triangles are,

$(0,0)\rightarrow (2\times 0, 2\times 0)$

$(-4,4)\rightarrow (2\times -4, 2\times 4)$

$(-4,-2)\rightarrow (2\times -4, 2\times -2)$

Thus, the coordinates of new triangle are,

(0,0) ( -8, 8) and (-8,-4)

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3 years ago

Evaluate 10bc-b+c, when b = 3 and c= 2.<br><br> I need help ASAP!!!!!!!

Yuki888 [10]

I believe the answer is 59 .

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4 years ago

What is the sum of the polynomials?<br> (7x^3– 4x^2) + (2x^3 +3x)

DaniilM [7]

Answer:

sum of the polynomials is $9 x^{3} - 4 x^{2} +3x$

Step-by-step explanation:

Given polynomial is (7 x^3– 4 x^2) + (2 x^3 +3 x)

adding x^3 terms, now we get

$(7+2)x^3-4 x^2+3 x$

$9 x^{3} - 4 x^2 +3 x$

Therefore the sum of given polynomial is

$9 x^3-4 x^2+3 x$

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3 years ago

A small airplane can hold 44 passengers.fifteen passengers board the plane a. Identify an inequality that represents the additio

iris [78.8K]

Answers:

Inequality is $15 + p \le 44$

Choice A) 30 more passengers cannot board the plane. Only 29 more passengers can board the plane

===============================================

Explanation:

15 people are already on the plane.

p is a placeholder for a positive whole number representing the additional number of people that can get on the plane.

In total, the plane holds 15+p individuals.

This expression's largest possible value is 44. Think of it as the ceiling. In terms of math, we call it the maximum. Since at most 44 people can be on the plane, this means the inequality we'll set up is $15+p \le 44$

This says "15+p is less than or equal to 44". It's the same as saying "15+p is 44 or smaller".

---------------------------

To isolate p, we subtract 15 from both sides

Doing so leads to...

$15+p \le 44\\\\15+p-15 \le 44-15\\\\p \le 29$

We can see that the largest p can get is 29, meaning that at most 29 more people can board the plane. There's no way that 30 people can board. That unfortunate 30-29 = 1 person must wait for another plane.

This all shows why choice A is the answer.

----------------------------

As a way to check the answer, we can note how p = 29 leads to 15+p = 15+29 = 44. We've filled the plane to full capacity.

If p = 30, then 15+p = 15+30 = 45, and we've gone 1 seat overboard.

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3 years ago

The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that

Alborosie

Answer:

Step-by-step explanation:

Given

Tornado speed is given by