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3 years ago

Equivalent ratiosSelect two ratios that are equivalent to 3 : 12.Choose 2 answers:

Mathematics

2 answers:

torisob [31]3 years ago

8 0

Answer:

1:4 and 16:18 or 3:1

Step-by-step explanation:

1:4 because 1 x 3=3 and 3 x 4=12,

3 x 1=3 and 1 x 12=12,

4 x 4=16

6 x 3= 18

kipiarov [429]3 years ago

5 0

Answer:

1:4 and 6:24

Step-by-step explanation:

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What is the slope of the line that passes through (5,-4) and (2,2)

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Suppose that, in some distant part of the universe, there is a star with four orbiting planets . One planet makes a trip around

WINSTONCH [101]

Answer: 90 Earth years.

Step-by-step explanation:

Analizing the information provided in the exercise, you need to find the Least Common Multiple (LCM) of the given numbers.

You can follow these steps:

1. You must descompose 6, 9, 15 and 18 into their prime factors:

$6=2*3\\\\9=3*3=3^2\\\\15=3*5\\\\18=2*3*3=2*3^2$

2. Finally, you need to choose the commons and non commons with their greatest exponents and multiply them. Then you get:

$L.C.M=2*3^2*5=2*9*5\\\\L.C.M=90$

Therefore, it will take 90 Earth years for them to all line up.

3 0

3 years ago

Graph the following system of linear inequalities. Identify at least two points in the solution: y < 5 - 2x | x + 5y > -7

romanna [79]

Answer:

(1,2) and (2,-1)

Step-by-step explanation:

we have

$y< 5-2x$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=5-2x$

$x+5y>-7$ ---->inequality B

The solution of the inequality B is the shaded area above the dashed line $x+5y=-7$

The solution of the system of inequalities is the triangular shaded area between the two dashed lines

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area

Two points in the solution are(1,2) and (2,-1)see the attached figure

4 0

4 years ago

Write as an expression and simplify

Alexus [3.1K]

Answer:

Part a) $(2m+7n)(2m-7n)$

Part b) $x^2-16xy+64y^2$

Part c) $216a^3b^6$

Part d) $(a^2-b^2)$

Step-by-step explanation:

Part a) The difference of the squares of 2m and 7n.

we know that

The difference of the squares formula is equal to

$(a^2-b^2)=(a+b)(a-b)$

substitute

$(2m)^2-(7n)^2=(2m+7n)(2m-7n)$

Part b) The square of the difference of x and 8y

The formula of the square of the difference between two numbers is equal to

$(a-b)^2=a^2-2ab+b^2$

substitute

$(x-8y)^2=x^2-2(x)(8y)+(8y)^2=x^2-16xy+64y^2$

Part c) The tripled product of 6a and b^2

we have

$(6ab^{2})(6ab^{2})(6ab^{2})=(6ab^{2})^3=(6^3)(a^3)(b^{2})^3=216a^3b^6$

Part d) The product of the sum of a and b and their difference

The expression is equal to

$(a+b)(a-b)$

The expression represent the difference of the squares between a and b

$(a+b)(a-b)=(a^2-b^2)$

7 0

3 years ago

Equivalent ratiosSelect two ratios that are equivalent to 3 : 12.Choose 2 answers:​

Equivalent ratiosSelect two ratios that are equivalent to 3 : 12.Choose 2 answers: