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3 years ago

Rearrange x = 7y - 5 to make y the subject.

Mathematics

1 answer:

nalin [4]3 years ago

3 0

By rearranging x = 7y - 5 to make y the subject, we get

x + 5 = 7y ( By transposition method )

or, $\huge \purple {\tt {\frac{x + 5}{7} = y}}$

<h2>Answer:</h2>

$\huge \pink {\tt {y = \frac{x + 5}{7}}}$

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You are 330 miles from home and you are driving toward home at an average of 55 mph. Write an equation to represent the situatio

Mars2501 [29]

Okay, I just know the answer not the range:

330 divided by 55 is 6. It would take 6 hours.

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3 years ago

Read 2 more answers

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

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2 years ago

What does “three more” mean in a verbal expression?<br> A. + 3<br> B. – 3<br> C. x 3<br> D. /3

suter [353]

A. Three more. More means to add!

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2 years ago

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Which exponential function is represented by the table?

Alex787 [66]

Answer:Exponential

Step-by-step explanation:

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3 years ago

Robert says 12 divide by 3//4 = 9. He used the following steps: 12/1 × 3/4 = 36/4 What error did Robert make? A. Robert used sub

wlad13 [49]

Answer:

C and D are the same answers but one of those.

Step-by-step explanation:

Um, I got what Robert got, so by process of elimination, it must be C or D. I used multiplication, so it wasn't subtraction or addition. Meaning whatever a reciprocal is, I didn't do that.

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2 years ago