4. Consider this dilation.

Mathematics

2 answers:

Jobisdone [24]3 years ago

5 0

(a) Is the image of the dilation a reduction or an enlargement of the original figure?

Explain

It is reduction. Why? Because the shape’s size decreases.

(b) What is the scale factor? Explain.

M’S” = 6.

MS =9

6/9 simplified is 2/3

Alexeev081 [22]3 years ago

3 0

A( reduction
I don't know how to do B

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simplify each of the following fractions 1a)2/x4 1b)3x+9/x+5 1c) 14x^3-x^2+9x-2/x^2-16 1d)3x/6x^2-x-2

Vlad [161]

step 1 : 6 Simplify —— x2 Equation at the end of step 1 : 10 6 (((((x2)+3x)-————)-2x)-15)——)+6x)+9) (x2)(((((x^2)x2 Step 2 :Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

x2 + x (x2 + x) • x2 x2 + x = —————— = ————————————— 1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Step 3 :Pulling out like terms :

3.1 Pull out like factors :

 x2 + x = x • (x + 1)

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (x+1) • x2 - (6) x4 + x3 - 6 ———————————————————— = ——————————— x2 x2 Equation at the end of step 3 : 10 (x4+x3-6) (((((x2)+3x)-————)-2x)-15)—————————+6x)+9) (x2)(( x2 Step 4 :Rewriting the whole as an Equivalent Fraction :

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

6x 6x • x2 6x = —— = ——————— 1 x2

4 0

3 years ago

Which equation results from adding the equations in this system?

sammy [17]

Answer: Negative 8y = 6

Step-by-step explanation:

$-6x+4y = -8\\6x-12y = 14$