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2 years ago

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.

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

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