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3 years ago

How do you factorise this using DOPS/DOTS? 2(x + 3)^2-10

Mathematics

1 answer:

Margaret [11]3 years ago

4 0

Answer:

Step-by-step explanation:

Hello,

$2(x+3)^2-10\\=2[(x+3)^2-5]\\=2[(x+3)^2-(\sqrt{5})^2]\\\\=2[(x+3+\sqrt{5})(x+3-\sqrt{5})]$

Hope this helps

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If each quadrilateral below is a parallelogram,find the missing measures.

zhenek [66]

Answer:

Part 1) $MN=31\ units$

Part 2) $KN=45\ units$

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

$KL=31\ units$

therefore

$MN=31\ units$

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

$LM=45\ units$

therefore

$KN=45\ units$

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

7 0

4 years ago

Please help I need the answer fast !

Otrada [13]

Answer:

To answer this item, we add up all the scores and divide the sum by the total number of quizzes.

0: 0 quizzes

1 : 1 quiz total : 1

2: 3 quizzes total : 6

3: 4 quizzes total : 12

4: 4 quizzes total : 16

5: 1 quiz total : 1

There are 13 quizzes and the total score is 36. Dividing the total score by the total number of quizzes will give us a final answer of 2.77.

Step-by-step explanation:

3 0

3 years ago

Solve 9x-14-2x=5(2x-6)

deff fn [24]

$9x-14-2x=5(2x-6)\qquad\text{use distributive property}\\\\(9x-2x)-14=(5)(2x)+(5)(-6)\\\\7x-14=10x-30\qquad\text{add 14 to both sides}\\\\7x=10x-16\qquad\text{subtract 10x from both sides}\\\\-3x=-16\qquad\text{divide both sides by (-3)}\\\\\boxed{x=\dfrac{16}{3}}$

8 0

3 years ago

Which figures have rotation symmetry? Select each correct answer

goblinko [34]

Answer:

The both on the right are the correct answers

Step-by-step explanation:

This is because rotational symmetry is defined as the property a shape has when it looks the same after some rotation by partial turns.

8 0

3 years ago

A. (-1,0) B. (0, -2) C. (-2, 0) D. (0, -1)

Alinara [238K]

Answer:

the answer is B, (0, -2) :)

Step-by-step explanation:

3 0

3 years ago