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PtichkaEL [24]
2 years ago
8

7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether

Mathematics
1 answer:
kirill [66]2 years ago
4 0

Answer:

SQUARE

Step-by-step explanation:

If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).

Find the following MN,  NP, PQ and MQ

Using the formula for calculating the distance between two points

MN = √(6-0)²+(0-4)²

MN = √6²+4²

MN = √36+16

MN = √52

MN = 2√13

NP = √(0-6)²+(-4-0)²

NP = √6²+4²

NP = √36+16

NP = √52

NP = 2√13

PQ = √(-6-0)²+(0-(-4))²

PQ = √6²+4²

PQ = √36+16

PQ = √52

PQ = 2√13

MQ = √(-6-0)²+(0-4)²

MQ = √6²+4²

MQ = √36+16

MQ= √52

MQ = 2√13

Since the length of all the sides are equal, hence the shape is a SQUARE

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Can someone please tell me what goes in the y spot
Nostrana [21]

Answer:

Step-by-step explanation:

Given the function

y = —⅔x + 7

The domain of the function is

The input,

x = { -12, -6, 3, 15}

When x = -12 what is y

y = —⅔x + 7

y = — ⅔ × — 12 + 7

Note that, - × - = +

y = 8 + 7

y = 15

Then, when x = -12, y = 15

When x = -6

y = —⅔x + 7

y = — ⅔ × — 6 + 7

Note that, - × - = +

y = 4 + 7

y = 11

Then, when x = -6, y = 11

Also, x = 3

y = —⅔x + 7

y = — ⅔ × 3 + 7

Note that, -×+ = -

y = —2 + 7

y = 5

Then, when x = 3, y = 5

Also, x = 15

y = —⅔x + 7

y = — ⅔ × 15 + 7

Note that, - × + = -

y = — 10 + 7

y = —3

Then, when x = 15 , y = —3

Check attachment

This is one to one mapping

x= -6 y= 11

x= 3 y= 5

x= 15 y= -3

x= -12 y=15

6 0
3 years ago
Read 2 more answers
yoko has 40 holiday stamps and 25 president stamps in her stamp collection. what is the ratio of the number of holiday stamps to
Elis [28]
I may not be able to use the appropriate vocabulary. But, the ratio of holiday stamps to president stamps is of 8:5 we can reach this conclusion because a ratio is just a fraction, if we put 40 over 25 we then put it in simplest form to get 8/5, or a ratio of 8 holiday stamps to every 5 president stamps
7 0
3 years ago
Aaron wants to make a path to guide guest through the conservation area.He uses rolls of rope to make the path.He uses 3/4 of a
mel-nik [20]

Answer:

Aaron needs <u>2 more rolls</u> to complete the path.

Step-by-step explanation:

Given:

Total rolls Aaron has = 4

Part of path covered by using \frac{3}{4} of a roll = \frac{1}{8}

So, in order to find the number of rolls required to cover the complete path is given using the unitary method.

Rolls used for \frac{1}{8} of a path = \frac{3}{4}

Therefore, rolls used to cover the whole path is given by dividing the rolls used for one-eighth of the path and the path covered. This gives,

=\frac{3}{4}\div \frac{1}{8}

=\frac{3}{4}\times \frac{8}{1}

=\frac{3\times 8}{4\times 1}

=\frac{24}{4}

=6\ rolls

Now, rolls required to complete the path is 6. But Aaron has only 4 rolls.

So, he will need 6 - 4 = 2 rolls more to complete the path.

5 0
3 years ago
a student earns $11.75 per hour for gardening. if she worked 21 hours this month, then how much did she earn? ​
gtnhenbr [62]

Answer:

$246.75

Step-by-step explanation:

11.75 x 21 = 246.75

hope this helps <3

5 0
3 years ago
Read 2 more answers
Could the lengths 6,8, and 15 represent the sides of a triangle?
kupik [55]

No, because the sum of two sides must be larger than the third.

3 0
3 years ago
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