Answer:
The two numbers are 12 , 10
Step-by-step explanation:
Given as :
The least common multiple of two numbers = LCM = 60
The ratio of the greater number to lesser number = 6 : 5
let the greater number = 6 x
And The smaller number = 5 x
∵ The LCM of numbers = 60
So, 6 × 5 × x = 60
Or, 30 × x = 60
∴ x = 
I.e x = 2
So The greater number = 6 x = 6 × 2 = 12
And The smaller number = 5 x = 5 × 2 = 10
Hence The two numbers are 12 , 10 Answer
Answer:
Remember that a perfect square trinomial can be factored into the form (a+b)^2
or (a-b)^2
Examples:
(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4
(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9
(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2
Now to answer your question,
for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial
for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial
for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial
for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial
Therefore, your answer is choices 2 and 3
Read more on Brainly.com - brainly.com/question/10522355#readmore
Step-by-step explanation:
Step-by-step explanation:
Hi there!
Given;
f(x) = 17x + 9
h(x) = 4x
To find: f(x)-h(x)
f(x)-h(x)= 17x + 9 - 4x
= 13x + 9
Therefore, f(x)-h(x) = 13x + 9.
<u>Hope it helps!</u>
∠GBE = y (alternate angles)
∠DBG + ∠GBE = 180 (Adjacent angles on a straight line adds up to 180)
⇒ x + y = 180
∠DBG = ∠ABE (Vertially opposite angles)
⇒ x = 5y - 18
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Solve for x and y :
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x + y = 180 -------- (1)
x = 5y - 18 --------- (2)
Sub (2) into (1) :
5y - 18 + y = 180
6x = 198
x = 33 --------- Sub into (1)
x + y = 180
33 + y = 180
y = 147
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Answer: x = 33°, y = 147°
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