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katen-ka-za [31]
3 years ago
7

Hey! Can someone check my answers?

Mathematics
1 answer:
Andrew [12]3 years ago
3 0
The greatest common factor is the biggest number taken from the values.

Q1. The answer is <span>A. 5y^6
</span>
20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}
Since x^{a}* x^{b}  =x^{a+b}, then x^{9}= x^{3}* x^{6}

Back to our expression:
4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+  5y ^{6}*1=5 y^{6} (4y ^{3} +1)
The greatest common factor is thus 5 y^{6}


Q2. The answer is <span>D. 12xy^2
</span>
12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}
We will use the rule  x^{a}* x^{b} =x^{a+b} to factorise the exponents:
12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)
The greatest common factor is thus 12xy^{2}
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What is the answer to this
Xelga [282]
Lateral area of triangular prism = (a+b+c)h where a, b and c are the sides of the triangular base, h is the height.

LA= (a+b+c)h=
a=4
b=6
c=?
c=9
h=8

c=√6²+4²=√80 or approximately 9

you should get An Area= (4+6+√80)8

LA= 80+8√80


4 0
3 years ago
Robert is writing a paper for language arts class. He can write 2/3 of a page in 1/4 of an hour. At what rate is Robert writing?
VLD [36.1K]

He can write 2/3 of a page in 1/4 of an hour.

=> He can write 2/3 × 4 = 8/3 = 2 and 2/3 of a page in an hour

Answer: 2 and 2/3 of a page per hour

ok done. Thank to me :>

6 0
2 years ago
Which expressions are equivalent to 5(-2k-3)+2k
bulgar [2K]

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

6 0
2 years ago
How many triangles can be constructed with side lengths of 7.2 cm, 6.9 cm, and 12.8 cm?
Alika [10]

Answer:

One triangle

Step-by-step explanation:

-The triangle's dimensions are defined and fixed.

-Given the fixed dimensions, only one unique triangle can be constructed.

-Hence, only one triangle of the dimensions 7.2cm, 6.9cm and 12.8 cm can be formed.

5 0
3 years ago
Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. Wh
Ne4ueva [31]

Answer:

500 pennies

Step-by-step explanation:

Given that

Carmen saved 592 pennies.

Her sister saved 128 pennies.

Together, they put 250 pennies in wrappers and took them to the bank

We need to find out the total number of pennies Carmen and her sister have left

So,

= 592 pennies + 128 pennies  - 250 pennies

= 470 pennies

= 500 pennies

7 0
3 years ago
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