Can someone help me understand this?

Mathematics

2 answers:

Ronch [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Corresponding parts of similar triangle have the same proportions

labwork [276]3 years ago

6 0

Answer: A) $\frac{AB}{XY} =\frac{AC}{XZ}$

Step-by-step explanation:

OK so if a figure is a dilation of another figure that means that is has the same angles but the sides are going to be smaller or bigger. Even though the sides are a different size they are proportional. So if I divided the length of AB over XY I'd get 5 since that is the scale factor. If I did that with AC over XZ I'd get 5 again because that is the scale factor. That's because they were proportional. Let's say this wasn't a dilation and AB over XY was 5 but AC over XZ was 4 that would mean it isn't proportional because AB would be 5 times bigger but XZ is only 4 times bigger.

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Find three solutions of the equation.

Olegator [25]

The correct answer is a.

You can find this by using each of the ordered pairs in the equation and seeing if the statements are true. The work for the a ordered pairs is below.

(-2, -14)
y = 7x
-14 = 7(-2)
-14 = -14

(3, 21)
y = 7x
21 = 7(3)
21 = 21

(-4, -28)
y = 7x
-28 = 7(-4)
-28 = -28

6 0

3 years ago

Find the distance between (2,3) and (-4,9). If you get a radical (square

9966 [12]

Answer:

Length is 6√2 units or 8.49 units

Step-by-step explanation:

Length formular:

$length = \sqrt{ {(x _{2} - x_{1}) }^{2} + {(y_{2} - y_{1})}^{2} }$

x1 is 2

x2 is -4

y1 is 3

y2 is 9

$length = \sqrt{ {( - 4 - 2)}^{2} + {(9 - 3)}^{2} } \\ \\ = \sqrt{ {( - 6)}^{2} + {6}^{2} } \\ \\ = \sqrt{36 + 36} \\ = \sqrt{2 \times 36} \\ = \sqrt{2} \times \sqrt{36} \\ { \boxed{ \boxed{= 6 \sqrt{2} }}} \\ = 8.49 \: units$

8 0

3 years ago

38 Points AND BRAINLIST PRIZE

miss Akunina [59]

The boundary for the first inequality: y> x+3 is the line y=x+3 and will be excluded (dashed) from the highlighted area because of the absence of equality sign.

The boundary for the second inequality: y <= 3x-3 is the line y=3x-3, and will show in solid because of the presence of the equal sign.

Please see the image attached showing your original graph with the first inequality in blue, the second in red. Note the y intercepts highlighted by a dot, and also verify the slopes: 1 and 3, respectively.

The solution to the system if inequalities is the area with both shadings overlapping.

Let me know if you have questions.