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kakasveta [241]
2 years ago
7

Find the length of x. Assume the triangles are similar.

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
8 0

Triangles are similar and only differ in size meaning they are dilated

So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)

Find scale factor:

2.4a=4.8

z=2

Find x:

we multiply the original side of the small side with the scale factor of 2

2.8(2)=x

5.6=x

So, x=5.6

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Write an equation for the line (in slope-intercept form) that passes through the given point with the slope m. (0, -7); m = -7
Alina [70]

Answer:

y= -7x -7

Step-by-step explanation:

All line equations can be represented in the form y = mx + c where a is the gradient or slope and b is the y intercept. (letters used for m and c may vary)

You have been given the slope, = -7 which you can put into y=mx+c

y = -7x + c

The function of a line ^^ means that for any values of x, you multiply it by -7 and add -7. The given coordinates means that when x =0, y = -7. So you can plug these into y = -7x + c , -7 = -7(0) + c . Therefore c = -7

Alternatively, since the value for c is the y intercept, the coordinates immediately give you the answer c. x = 0 which means taht the line intercepts the y axis when y = -7. hence the y intercept = -7

6 0
3 years ago
SOMEONE HELP! (b+3)(c-4)
choli [55]

Answer

bc - 4b + 3c - 12

solution,

(b + 3)(c - 4) \\  = b(c - 4) + 3(c - 4) \\  = bc - 4b + 3c - 12

hope it helps..

7 0
3 years ago
Read 2 more answers
An item is priced at 60 dollars it is on sale for 40% off the regular price
pantera1 [17]
36, because 60 time .4 is 24 so 60 - 24 is 36 so it is 36 dollars.
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8 0
3 years ago
Determine whether each expression is equivalent to
larisa [96]

The algebraic expressions, x + x + y + y + y + y - 5 + x + x + x + 8 - 4y and 5x + 3 are equivalent to 2x + 4y - 5 + 3x + 8 - 4y

To determine whether each expression is equivalent to 2x + 4y - 5 + 3x + 8 - 4y, apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify 2x + 4y - 5 + 3x + 8 - 4y as follows:

Add like terms

2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3

Next, compare or simplify where necessary each of the given algebraic expressions with 5x + 3

<em><u>First Option</u></em>

x + x + y + y + y + y - 5 + x + x + x + 8 - 4y

Add like terms together

2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3

Therefore, x + x + y + y + y + y - 5 + x + x + x + 8 - 4y is equivalent to 2x + 4y - 5 + 3x + 8 - 4y

  • <em><u>Check the box for </u></em><em><u>YES.</u></em>

<u><em>Second Option:</em></u>

<u><em /></u>6xy + 3 - 4y<em> (cannot be simplified further)</em>

<em />6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y<em />

Therefore:

  • <em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>

<em><u /></em>

<em><u>Third Option:</u></em>

<em><u /></em>-8y + 5x - 3<em><u> </u></em><em>(cannot be simplified further)</em>

<em />-8y + 5x - 3 \neq  2x + 4y -5 + 3x + 8 - 4y<em />

Therefore:

  • <em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>

<em><u /></em>

<u><em>Fourth Option:</em></u>

<u><em /></u>5x + 3<u><em /></u>

<u><em /></u>5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y<u><em /></u>

Therefore:

  • <em><u>Check the box for </u></em><em><u>YES.</u></em>

<em><u></u></em>

Thus, the algebraic expressions that are equivalent to  2x + 4y - 5 + 3x + 8 - 4y are:

  • x + x + y + y + y + y - 5 + x + x + x + 8 - 4y
  • 5x + 3

Learn more about algebraic expressions here:

brainly.com/question/15122459

5 0
3 years ago
A number that has exactly two distinct factors is prime what is the inverse of the statement?
Anastasy [175]

Answer:

Composite number

Step-by-step explanation:

A number that has more than 2 distinct factors is a composite number

plzzzz mark this as brainliest... and I hope this helped :)

8 0
3 years ago
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