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-BARSIC- [3]
3 years ago
15

The coordinates of a rectangle are (4, 0), (8, 0), (4, 10) and (8, 10). Which transformation results in a reduction in the size

of a rectangle?
A) The rectangle reflects across the y-axis.

B) The rectangle undergoes a dilation by a scale factor of 2.

C) The rectangle translates 3 units to the left and 6 units up.

D) The rectangle undergoes a dilation by a scale factor of 0.5.
Mathematics
2 answers:
Degger [83]3 years ago
9 0

Answer:

D) The rectangle undergoes a dilation by a scale factor of 0.5.

Step-by-step explanation:

A translation is only a slide; it does not change the size of a figure.

A reflection creates a mirror image; it does not change the size of a figure.

A rotation turns a figure; it does not change the size of a figure.

A dilation is a stretch or shrink, which by definition changes the size of a figure.

A dilation by a factor greater than 1 will stretch a figure, and a dilation by a factor less than 1 (but greater than 0) will shrink a figure.  Since we want a reduction in size, we want a shrink; this means out of all of our options, the only correct one is a dilation by a factor of 0.5.

SpyIntel [72]3 years ago
6 0
B is the answer i hope this helps
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Nour drove from the Dead Sea up to Amman, and her altitude increased at a constant rate. When she began driving, her altitude wa
labwork [276]

Answer:

y = - 400 + 700x

Step-by-step explanation:

Nour's altitude increased at a constant rate from the Dead Sea up to Amman.

Initially, her altitude was 400 meters below from the sea level and then she arrived at an altitude was 1000 meters above sea level arrived to Amman, 2 hours later.  

So, she moves (400 + 1000) = 1400 meters in 2 hours.

Therefore, her rate of change of altitude is \frac{1400}{2} = 700 meters per hour.

Therefore, if y represents Nour's altitude in meters relative to the sea level after x hours then the relationship between the altitude and number of hours is given by  

y = - 400 + 700x  (Answer)

7 0
3 years ago
Read 2 more answers
What is the solution to the equation sqrt8x= sqrt4+2x
sp2606 [1]

I'm going to make some assumptions here:

That your sqrt8x= sqrt4+2x means √(8x) = √(4+2x). (There are other interpretations.)


Squaring both sides, 8x = 4 + 2x, or 6x = 4, or x = 4/6, or x = 2/3.

3 0
3 years ago
Santiago wants to walk at least 500 miles before the end of this year. He has already walked 437 miles, and there are 36 days le
Mrrafil [7]

Answer:

437+36x>=500

Step-by-step explanation:

This basically shows that 437 plus the x miles he will walk per day for 36 will total to more than or equal to 500

7 0
3 years ago
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Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
4 years ago
The area of a triangle is 6.75 m to the 2 power.  If the base of the triangle is 3 m, what is the height of the triangle?
4vir4ik [10]
<span>The area of a triangle is 6.75 m^2

=> (1/2) x base x height=</span>6.75 m^2
=>(1/2) x 3 x <span>height = </span>6.75
=><span>height = (</span>6.75x2)/3= 4.1

so the height is 4.1m
6 0
4 years ago
Read 2 more answers
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