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3 years ago

Help me please this was due yesterday

Mathematics

1 answer:

dolphi86 [110]3 years ago

7 0

I hope this is right!

B (-3,1) —> B’ (-3,-4)
C (-3,4) —> C’ (-3,-7)
D (2,4) —> D’ (2,-4)
E (2,1) —> E’ (2,-7)

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What is the solution to the system of equations? y = 2/3 x + 3 x = –2

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Sub in -2 for x in the first equation
y = 2/3(-2) + 3
y = -4/3 + 3
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y = 5/3

check..
y = 2/3x + 3
5/3 = 2/3(-2) + 3
5/3 = -4/3 + 9/3
5/3 = 5/3 (correct)

so ur solution is : (-2,5/3)

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3 years ago

Three solid shapes A,B and C The surface area of shape A is 9cm² The surface area of shape B is 16cm² The ratio of the volume of

dmitriy555 [2]

Answer:

9:20

Step-by-step explanation:

Given:

Surface area of shape A = 9 cm²

Surface Area of shape B = 16 cm²

Ratio of volume of shape A to B = 27:125

Required:

Find the ratio of the height of shape A to the height of shape C.

Ratio of surface area (A:B)² = ratio of linear measures (A:B)

Thus,

(A:B)² = (A:B)

(A/B)² = (A/B)

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Take the square root of both sides:

$(\sqrt{\frac{A}{B}})^2 = (\sqrt{\frac{9}{16}})$

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Ratio of volume of shape B to C = 27:125

Thus,

(B:C)³ = 27:125

$(\frac{B}{C})^3= (\frac{27}{125})$

Take the cube root of both sides:

$(3\sqrt{\frac{B}{C}})^3 = (3\sqrt{\frac{27}{125}})$

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Therefore, ratio of lengths A:B:C =

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A:3:5

To make them equivalent, we have:

9:12:C

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Therefore, the ratio of the height of shape A to the height of shape C =

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4 years ago