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Nikitich [7]
3 years ago
15

a triangle has coordinates a(-1,-2) b(-4,-2) and c(-4,-5) what are the coordinates of a' the image of point a under a dilation w

ith a scale factor of 3?
Mathematics
1 answer:
quester [9]3 years ago
8 0

9514 1404 393

Answer:

  (-3, -6)

Step-by-step explanation:

The scale factor multiplies each coordinate.

  A' = 3A = 3(-1, -2) = (-3, -6)

The image of A is ...

  A'(-3, -6)

You might be interested in
Write the fact family for 5,8,and 40
Juli2301 [7.4K]
A fact family is basically just different equations with the same numbers getting the same/different numbers as answers you might say... 
this will make more sense: 
5x8=40
8x5=40
40/8=5
40/5=8
4 0
3 years ago
Write a mixed number to describe the length of the ribbon shown in the figure below.
yulyashka [42]

Step-by-step explanation:

what did we learn in the other question ?

there are 8 equal sub-segments of 1/8 length between neighboring whole numbers.

so, each little line is 1/8.

the marker goes first to 1, and then one little line towards 2.

therefore, that number is 1 1/8.

8 0
2 years ago
5
Dimas [21]

Answer:

0.150 < (Proportion of Sandy's pie) < 0.167

15% < (Percentage of Sandy's pie) < 16.7%

Step-by-step explanation:

Total percentage of pie = 100% or 1

George, Sandy, Carlos, and Michelle all ate a piece of the pie.

George ate a fraction of 0.150

Michelle ate a fraction of (1/6) = 0.167

Carlos ate a fraction of (1/7) = 0.143

The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405

And Sandy is known to eat more than two of her friends, but less than one of them.

Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.

Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).

So, mathematically, the possible proportion of cake that Sandy ate is

0.150 < (Proportion of Sandy's pie) < 0.167

Hope this Helps!!!

7 0
3 years ago
I need help asap pls and thank you ;)
olga55 [171]

Answer:

\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP     (∵ corresponding angles)

∠NDC=∠NPM     (∵ corresponding angles)

By AA similarity rule,  ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

ND(\frac{h}{x}-1)=PD

Adding above two, we get

(KA+ND)(\frac{h}{x}-1)=(AP+PD)

⇒ (KN-AD)=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

⇒ x(h+a)=ah

⇒ x=\frac{ah}{a+h}

3 0
3 years ago
15. The graph of a linear function, f(x), is shown below. If the line is translated 2 units
Leto [7]

Answer: fx-2 i believe since translating down would subtract two

Step-by-step explanation:

4 0
3 years ago
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