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dimulka [17.4K]

2 years ago

15

Triangle A is the pre-image, and triangle B is the image. Find the scale factor for this dilation if the center of dilation is a

t (0,0)

1 answer:

BigorU [14]2 years ago

8 0

Answer:

The scale factor is 3

Step-by-step explanation:

6/2=3 (one of the triangles sides)

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

So

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

11 months ago

If you ride your bike 12 miles per hour, how long would it take<br> you to travel 72 miles ?

poizon [28]

Answer:

It would take 6 hours for you to travel 72 miles.

Step-by-step explanation:

This question can be solved by a simple rule of three.

We have that:

Each hour, you ride 12 miles.

How many hours will take for you to travel 72 miles?

So:

1 hour - 12 miles

x hours - 72 miles

12x = 72

x = 72/12

x = 6

It would take 6 hours for you to travel 72 miles.

4 0

2 years ago

5\times 100+4\times 10+6\times 1+2\times \left(\frac{1}{10}\right)+8\times \left(\frac{1}{1000}\right)5×100+4×10+6×1+2×(

adell [148]

Answer:could you make it more clear

Step-by-step explanation:

I don’t understand

8 0

2 years ago

An adult blinks about 450 times in 30 minutes. A 12-year-old blinks 150 times in 15 minutes.How many more times does an Adult bl

Scilla [17]

Answer:

1.5 times

Step-by-step explanation:

450=30 minutes

450*2=900=60 minutes

150=15 minutes

150*4=600=60 minutes

900/600=1.5 times

5 0

3 years ago

Read 2 more answers

What is more .48 or .6?

PSYCHO15rus [73]

.6 is more than .48.

If you appreciated my answer, please thank and brainliest me!

4 0

2 years ago

Read 2 more answers