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3 years ago

4y2 - 2x + 7 + 2y for x = 7 and y =2.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

4y2 - 2x + 7 + 2y for x = 7 and y =2.

= 4(2)^2 -2(7) +7 + 2(2)

= 4(4) - 14 +7 + 4

= 16 - 14 + 7 + 4

= 13

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antiseptic1488 [7]

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3 years ago

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Margarita [4]

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3 years ago

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galina1969 [7]

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3 years ago

Length of the median CP

ehidna [41]

Given:

ΔABC $\sim$ ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}$

$$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}$

Do cross multiplication.

$$\Rightarrow 12(2x+8)=16(3x-12)$

$$\Rightarrow 24x+96=48x-192$

Add 192 on both sides.

$$\Rightarrow 24x+96+192=48x-192+192$

$$\Rightarrow 24x+288=48x$

Subtract 24x from both sides.

$$\Rightarrow 24x+288- 24x=48x- 24x$

$$\Rightarrow 288=24x$

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

= 36 - 12

= 24

The length of median CP is 24.

7 0

3 years ago