Express the fractions 3/4 ,7/16 and 5/8 with the lowest common denominator

What is the equation of the line that is parallel to 8x-5y=2 and goes through the point (-5,-2)

Stella [2.4K]

Answer:

8x - 5y = - 30

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 5y = 2 into this form

Subtract 8x from both sides

- 5y = - 8x + 2 ( divide all terms by - 5 )

y = $\frac{8}{5}$ x - $\frac{2}{5}$ ← in slope- intercept form

with slope m = $\frac{8}{5}$

• Parallel lines have equal slopes, hence

y = $\frac{8}{5}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = $\frac{8}{5}$ x + 6 ← in slope- intercept form

Multiply through by 5

5y = 8x + 30 ( subtract 5y from both sides )

0 = 8x - 5y + 30 ( subtract 30 from both sides )

8x - 5y = - 30 ← in standard form

3 0

3 years ago

Tessellations

faust18 [17]

9514 1404 393

Answer:

d. x-axis

Step-by-step explanation:

Consider a point on curve P and its (nearest) image on curve P'. The midpoint between those points is on the line of reflection. That line is the x-axis.

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<em>Additional comment</em>

The curve is symmetrical about the y-axis, so each point on P also has an image point that is its reflection across the origin. The reflection of P could be across both the x- and y-axes, or (equivalently) across the origin. We don't know the meaning of "xy-axis", so we suspect that is a red herring. The best choice here is "x-axis."

4 0

3 years ago

Read 2 more answers

Please help, I’ll mark as brainliest!! The picture is above :)

Ray Of Light [21]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable

Exact Form:

x = - 25/8 $\frac{x}{y}$

Decimal Form:

x = -3.125

Mixed Number Form:

x = - 3/1/8 $\frac{x}{y}$

Step-by-step explanation:

5 0

2 years ago

Please Help!! If answer, please answer them all, thank you!!

Sergio [31]

9514 1404 393

Answer:

(b) angle FOA

(c) angle EOA

(d) angle AOH

Step-by-step explanation:

(b) The rays of vertical angles are opposites that form intersecting lines.

The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.

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(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.

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(d) Similarly, the supplement to angle BOH is angle AOH.

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<em>Comment on supplementary angles</em>

Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.

8 0

2 years ago

Xis directly proportional to y.

OleMash [197]

X = k x y
21 = k x 3
k = 7
x = 7y

x = 7(10)
x = 70

6 0

3 years ago