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2 years ago

Suppose 4y – 1 = 15 and y = 5x – 3.

Mathematics

1 answer:

Vanyuwa [196]2 years ago

3 0

The equivalent equation of 4y – 1 = 15 is 20x - 13 = 15

<h3>How to determine the equivalent equation?</h3>

The equations are given as:

4y – 1 = 15 and y = 5x – 3.

Substitute y = 5x – 3. in 4y – 1 = 15

4(5x – 3) – 1 = 15

Expand

20x- 12 - 1 = 15

Evaluate the like terms

20x - 13 = 15

Hence, the equivalent equation of 4y – 1 = 15 is 20x - 13 = 15

Read more about equivalent equation at:

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Direction if parabola. x2?6x+8=yx2-6x+8=y

STatiana [176]

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{\text{quadratic equation}}. \hfill \\

{\text{For given quadratic equation}}. \hfill \\

a{x^2} + bx + c = 0 \hfill \\

{\text{The parabola is in the upward direction if }}a{\text{ }} > {\text{ }}0{\text{ and in downward direction if }}a < 0 \hfill \\

{\text{Here, the equation of given parabola is }} \hfill \\

{x^2} - 6x + 8 = y \hfill \\

\Rightarrow y = \left( {{x^2} - 6x + 9} \right) - 9 + 8 \hfill \\

\Rightarrow y = {\left( {x - 3} \right)^2} - 1. \hfill \\

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8 0

3 years ago

Please help me!!!!! i need full answer.

salantis [7]

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( $\frac{x+y}{2}$ )sin ( $\frac{x-y}{2}$ )

sin x - sin y = 2cos ( $\frac{x+y}{2}$ )sin ( $\frac{x-y}{2}$ )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin( $\frac{A+B}{2}$ )sin( $\frac{A-B}{2}$ ) ]² + [ 2cos( $\frac{A+B}{2}$ )sin( $\frac{A-B}{2}$ ) ]²

= 4sin² ( $\frac{A+B}{2}$ )sin² ( $\frac{A-B}{2}$ ) + 4cos² ( $\frac{A+B}{2}$ )sin² ( $\frac{A-B}{2}$ )

= 4sin² ( $\frac{A-B}{2}$ )[ sin² ( $\frac{A+B}{2}$ ) + cos² ( $\frac{A+B}{2}$ ) ← sin²x + cos²x = 1

= 4sin² ( $\frac{A-B}{2}$ ) × 1

= 4sin² ( $\frac{A-B}{2}$ ) = right side ⇒ proven

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3 years ago

7,014 + 2,415 + 774 + 30 = _____

Cloud [144]

9,459

8,444

23,963

9,304

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3 years ago

What is 12% of 79 ??

Rus_ich [418]

12% Of 79 Would be 9.48. Hope this helped :)

8 0

3 years ago

Read 2 more answers

Solve :(use unitary method)

andre [41]

Answer:

a. 8

b. 114

Step-by-step explanation:

36/6 = 48/x

36x = 288

x = 8

12/72 = 19/x

1/6 = 19/x

x = 114

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2 years ago