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2 years ago

Which of the following equations is equivalent to y = 2x + 1?

Mathematics

2 answers:

charle [14.2K]2 years ago

8 0

Answer:

-2x+y=1

Step-by-step explanation:

jeyben [28]2 years ago

5 0

Answer:

C. -2x+y=1

Step-by-step explanation:

If we move 2x to the other side of the equation, its sign will change from positive to negative.

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Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0

2 years ago

How do you increase 300 by 54%?

Vanyuwa [196]

Multiply 300 by 54%= 16,200
Divide 16,200 by 100
= 162.20
Round 162.20 to the nearest whole
= 162
hope this helps.
This is the steps to finding a percent

4 0

3 years ago

1+16=14+2 is this true or false

il63 [147K]

Answer:

False

Step-by-step explanation:

1+16=17

14+2=16

17 does not = 16

7 0

3 years ago

Read 2 more answers

How do you determine the value of isosceles triangles?

amid [387]

There's really no such thing as the value of a triangle.

Every triangle has three sides, three angles, a base, a height, and an area,
and there could be problems that ask us to find any one of those.

Whatever we need to find, the process is always the same:

-- Take the information that's given.

-- Gather up everything you can remember that talks about a relationship
between what you're given and what you need to find.

-- Use them together to find the missing value.

6 0

2 years ago

kenny has 9 more comic books than bobbie. together they have 95 comic books. define a variable. then write an equation that coul

Hoochie [10]

Number of comic books Bobbie has - b

95 = (9 + b) + b

Since 95 is the total number of comic books both boys have, it is equal to both boys' books added together. However, since we don't know how many books Kenny has, and only that he has 9 more than Bobbie, we can define that as (9 + b), or nine more than b. Then, we add b again, because (9 + b) is the number of books Kenny has, and if we add that to the number of books Bobbie has, it will equal the total of 95 comic books.

3 0

2 years ago