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3 years ago

Solve the system using the substitution method: 3x + 5y = -10 X - 5y =-10

Mathematics

1 answer:

inn [45]3 years ago

4 0

<u>Answer:</u>

Point Form:

(−5,1)

Equation Form:

x=−5, y=1

<u>Step-by-step explanation:</u>

Solve for the first variable in one of the equations, then substitute the result into the other equation.

1. x=5y−10

2. 20y−30=−10

3. y=1

4. x=−5

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Find the 40th term in the arithmetic sequence: 4,2,0,-2........

navik [9.2K]

Answer:

-74

Step-by-step explanation:

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3 years ago

If the scale factor between a scale drawing of a rectangle and the real object is 1:3 what would be the ratio of the areas?

Ivanshal [37]

Answer:

The ratio of the areas will be will be 1 : 9

Step-by-step explanation:

The linear scale factor represents a ratio that is used to multiply the dimensions of objects so that accurate geometries can be transferred between real-life and paper.

The linear scale factor is quite different from the area scale factor but related to it in the following way:

The area factor can be obtained by squaring the linear scale factor.

This is Area factor = (Linear scale factor) ^2.

Linear scale factor = (1:3)

Area factor = $1^2 : 3^2$

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3 years ago

Answer the 3 screenshotted questions below. 30 points!

Triss [41]

Answer:

13. $36a^2b^4$ π

14. $16x^3y^4$ π

15. $-\frac{c^3}{4a^7b^3}$

Step-by-step explanation:

13.

A = π * $r^2$

r = $6ab^2$

A = π* $(6ab^2)^2$

A = π * $(6ab^2)(6ab^2)$

A = π * $36a^2b^4$

A = $36a^2b^4$ π

14.

V = π * $r^2$ * h

r = $2x$

h = $4xy^4$

V = π * $(2x)^2$ * $4xy^4$

V = π * $4x^2$ * $4xy^4$

V = π * $16x^3y^4$

V = $16x^3y^4$ π

15. $\frac{3a^{-4}b^2}{-12a^3b^5c^{-3}}$ = $-\frac{c^3}{4a^7b^3}$

$\frac{3a^{-4}b^2}{-12a^3b^5c^{-3}}$

$\frac{a^{-4}}{-4a^3b^5c^{-3}}$

$\frac{b^2}{-4^{3+4}b^5c^{-3}}$

$\frac{b^2}{-4^7b^5c^{-3}}$

$\frac{1}{-4a^7b^{5-2}c^{-3}}$

$\frac{1}{-4a^7b^3c^{-3}}$

$\frac{c^3}{-4a^7b^3}$

$-\frac{c^3}{4a^7b^3}$

Hope this helps!

3 0

3 years ago

a quantity with an initial valuve of 390 decays continuously at a rate of 5% per decade what is the value of the quantity after

pogonyaev

Answer:

4695.90

Step-by-step explanation:

The exponential growth function is given as:

y = a(1 + r)^t

a = Initial value = 390

y = Value after time t = ?

r = Growth rate = 5% = 0.05

t = Time in years =51

Hence

y = 390(1 + 0.05)⁵¹

y = 4695.9002123

Approximately = 4695.90

5 0

3 years ago

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Artyom0805 [142]

What's the problem? Who is it for?

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3 years ago