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3 years ago

Graph the linear equation. Find three points that solve the equation. - 3x +2y=2

Mathematics

1 answer:

pishuonlain [190]3 years ago

4 0

Answer:

y=3/2x+1 0,1 2,4 4,7

Step-by-step explanation:

-3x+2y=2

+3x

2y=3x+2

/2 /2 /2

y=3/2x+1

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What is the probability of flipping a coin and having heads land up five times in a row

Phantasy [73]

Answer:

1/32

Step-by-step explanation:

P(heads) = 1/2

P(5 heads) = (1/2)⁵ = 1/32

5 0

3 years ago

one number is four times as large as another if the numbers are added together the result is six less than seven times the small

liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

$4x + x = 7x - 6\\5x = 7x - 6\\-2x = -6\\x = 3$

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

4 0

3 years ago

Bill says that

drek231 [11]

Cause 6^8 = 1679616 while if 3^5 times 2^3 only = 1944

6 0

3 years ago

Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

3 years ago

How do i solve the equation <img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2040x%20%2B%2084%20%3D%200" id=

SpyIntel [72]

$QUADRATIC \: \: RESOLUTIONS \\ \\ \\\\4 {x}^{2} \: + \: 40x \: + \: 84 \: = \: 0 \\ \\ 4 \: ( \: {x}^{2} + 10x + 21) \: = \: 0 \\ \\ 4 \: can \: never \: be \: equal \: to \: \: 0 \\ \\ {x}^{2} \: + \: 10x \: + \: 21 = \: 0 \\ \\ {x}^{2} + \: 7x \: + 3x \: + \: 21 = 0 \\ \\ x(x + 7) + 3(x + 7) = 0 \\ \\ ( \: x + 7 \: ) \: ( \: x + 3 \: ) \: = \: 0 \\ \\ On \: solving \: \: , \: \: \: We \: get \: \: \: \: \: - \\ \\ \\ x \: = \: - 7 \: \: \: or \: \: \: x = \: - 3 \: \: \: \: \: \: \: \: Ans.$

6 0

3 years ago