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3 years ago

Use the distributive property to write equivalent expressions. Someone please help, ty!

Mathematics

1 answer:

earnstyle [38]3 years ago

8 0

Answer:

For the question below, you will need to find the GCF of 45 and 60. In this instance it is 5, so it will be outside the box. The GCF answers will be inside the parenthesis, which is 7 and 12.

45x + 60 = 5(7x + 12)

In this question you have to multiply 2 with every number inside the parenthesis. So 2 × 10x and 2 × 4.

2(10x+4) = 20x + 8

Hope this helped.

You might be interested in

Write this radical in simplest form:

elena-14-01-66 [18.8K]

Answer:

in simplest form the radical would be, 4 3/4

( the / is supposed to be the square root sign)

hope this helped ;D

8 0

3 years ago

He first term of a sequence is 2, and each subsequent term is the reciprocal of the square of the preceding term. what is the po

polet [3.4K]

The first term is a₁ = 2.
Each subsequent term is the reciprocal of the square of the preceding term.

2nd term:
a₂ = 1/2² = 1/4

3rd term:
a₃ = 1/(1/4)² = 1/(1/16) = 16

4th term:
a₄ = 1/16² = 1/256

5th term:
a₅ = 1/(1/256)² = 1/(1/65536) = 65536
The positive square root of the fifth term is
√(65536) = 256

Answer: 256

4 0

3 years ago

A shopkeeper marked the price of a radio as Rs. 5000. He sold it allowing a discount of 10% and made a profit Rs. 500. Find the

marissa [1.9K]

SP = MP - discount% of MP
= 5000 - 10/100 X 5000
= Rs4500
Profit = SP - CP
= 4500-500
= Rs 4000
Hope it helps!

3 0

3 years ago

Factor the trinomial!! PLEASE HELP and if possible please explain how to do this!!

Nikitich [7]

Answer:

d. a = 39

Step-by-step explanation:

Question:

for which value of "a" will the trinomial be factorizable.

x^2+ax-40

For the expression to have integer factors, a = sum of the pairs of factors of -40.

-40 has following pairs of factors

{(1,-40), (2,-20, (4,-10), (5,-8), (8, -5), (10,-4), (20,-2), (40,-1) }

meaning that the possible values of a are

+/- 39, +/- 18, +/- 6, +/- 3

out of which only +39 appears on answer d. a=39

4 0

3 years ago

Help again...its for math offering 15 points

Anettt [7]

Answer:

$\tan \dfrac{\theta}2 = \dfrac{1}2$

Step by step Explanation:

$\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right]$

$=\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2$

4 0

2 years ago