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3 years ago

Quadrilateral ABCD is dilated about the origin into quadrilateral EFGH

Mathematics

2 answers:

saveliy_v [14]3 years ago

8 0

Answer:

The scale factor = 2.

Step-by-step explanation:

The scale factor is the distance of G from the original divided by the distance of C from the origin.

= √(16^2 + 8^2 - 0) / √(8^2 - 4^2) = 0)

= √(192) / √(48)

= 2.

olga nikolaevna [1]3 years ago

5 0

Answer:

Step-by-step explanation:

8 x 2 = 16

4 x 2 = 8

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

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2 years ago

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The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252

dangina [55]

Answer:

Um I think it is 120%, but i am not totalyy sure

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2 years ago

Help please<br><br> 1 1/2% of what number is 10.05

MrRissso [65]

Answer:

10/25%

Step-by-step explanation:

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2 years ago

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49/10 as a mixed number

Anni [7]

⇒ $\frac{49}{10}$

$\frac{49}{10}$ is a improper fraction.
$\frac{49}{10}$ as a mixed number would be 4 $\frac{9}{10}$

⇒10 x 4 = 40
⇒40 + 9 = 49

$\frac{49}{10}$ = 4 $\frac{9}{10}$

⇒ANSWER = 4 $\frac{9}{10}$

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3 years ago

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Solve the equation.<br> C3 = 216

Anna [14]

Step-by-step explanation:

C= 72..............

C3=216

C=216

C = 72

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2 years ago

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