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3 years ago

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?

Mathematics

1 answer:

harkovskaia [24]3 years ago

3 0

Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis

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Simplify: square root 108+square root 125-square root 75

navik [9.2K]

Answer:

$11\sqrt{3} + 5\sqrt{5}$

Step-by-step explanation:

$\sqrt{108}+\sqrt{125} - \sqrt75}$

1. $\sqrt{108} = 6\sqrt{3}$ \

2. $\sqrt{125} = 5\sqrt{5}$

3. $\sqrt{75} = 5\sqrt{3}$

4. Add $6\sqrt{3} + 5\sqrt{3} = 11\sqrt{3}$

your left with $11\sqrt{3}+5\sqrt{5}$

7 0

3 years ago

Read 2 more answers

Factorise 9f²-12f plus 4

Komok [63]

Answer:

(3f - 2)²

Step-by-step explanation:

Given

9f² - 12f + 4

Consider the factors of the product of the coefficient of the f² term and the constant term which sum to give the coefficient of the f- term.

product = 9 × 4 = 36 and sum = - 12

The factors are - 6 and - 6

Use these factors to split the f- term

9f² - 6t - 6t + 4 ( factor the first/second and third/fourth terms )

= 3f(3f - 2) - 2(3f - 2) ← factor out (3f - 2) from each term

= (3f - 2)(3f - 2)

= (3f - 2)²

8 0

3 years ago

Read 2 more answers

100 pints help would be greatly appreciated

Veronika [31]

Answer:

(4, -2) (see attached)

Step-by-step explanation:

Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.

<h3>vector components</h3>

The components of the vectors are ...

u = (1, -2)

v = (-6, -6)

Then the components of the vector sum are ...

2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)

2u -1/3v = (4, -2)

<h3>graphically</h3>

The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.

One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.

The resultant is in red in the attachment.