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2 years ago

Use an inequality symbol (<, >, =, ≠) to compare 5 + (−4) _____ 14 + (−13)

1 answer:

6 0

We can find out by calculating the two sums: 5 + (-4) = 5 - 4 = 1. 14 + (-13) = 14 - 13 = 1. So they are equal, which means that the correct answer is C. =.

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In the given figure, ΔABC is a right triangle.

LUCKY_DIMON [66]

Answer:

its an isosceles triangle which means that the sides a and c are the same

so C is the correct answer!!

Step-by-step explanation:

8 0

1 year ago

Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

2 years ago

I dont know number 1 please help

amm1812

The answer is C to this question

5 0

3 years ago

Read 2 more answers

Please help!!!

mylen [45]

Answer:

1 : 80

Step-by-step explanation:

So you want to check Length of model : Length of real boat

50 cm : 40 m

But since the units don't match, make 40 m into 4000 cm

50 cm : 4000 cm

Divide both sides by 50 and you get

1 : 80

8 0

2 years ago

SOLVE BY ELIMINATION. x-2y=2 3x+y=6

USPshnik [31]

$\left \{ {{x-2y=2} \atop {3x+y=6\ |\cdot2}} \right. \\\\ \left \{ {{x-2y=2} \atop {6x+2y=12}} \right. \\+-----\\\\7x=14\ \ \ \ |:7\\x=2\\\\2-2y=2\\-2y=2-2\\-2y=0\\y=0\\\\ \left \{ {{y=0} \atop {x=2}} \right.$

7 0

2 years ago