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2 years ago

Rewrite each of the following linear equation in equivalent y=mx+b

Mathematics

1 answer:

aev [14]2 years ago

8 0

You are given a line is standard form, so to transform it to the slope-intercept form, you simply have to solve it for y, and you will have y=mx+b.

2y-3x=10 add 3x to both sides

2y=3x+10 divide both sides by 2

y=1.5x+5, since y=mx+b, m=slope and b=y-intercept

slope=1.5 and the y-intercept is, technically the point, (0, 5)

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A directed line segment on a gridded map shows the path of a hot air balloon from 1(0,0) to B(8,4). Each grid unit represents 1

aivan3 [116]

Answer:

Step-by-step explanation:

There is a point V with ration 6 to 2, therefore we must find the coordinates of point V and the distance from A to V

<u>According to the graph</u>

$c^{2}=x^{2}+y^{2}\\c^{2}=8^{2}+4^{2}\\c=\sqrt{64+16}=8.9.4\\sin\alpha =\frac{4}{8.94}$

α≅27°

V=2*8.94/6 (ratio 6:2)

V=2.98mile

$sin27=\frac{y}{2.98}\\y=sin27*2.98=1.35\\cos27=\frac{x}{2.98}\\x=cos27*2.98=2.65$

coordinates of V = (2,65;1.35)

Distance from A to V

$d_{AV}=2.98 miles$

finally

Mary's mistake is to take the 6 to 2 ratio as the distance traveled from the globe only in the x direction

8 0

2 years ago

Jaheed is making puch for a party. The recipe calls for 3.5 liters of fruit juice. Write a formula to help jaheed determine the

Nimfa-mama [501]

$\pi x^{2} \frac{x}{y}$

5 0

2 years ago

What is the perimeter of the entire football field including the end zone

Dmitry [639]

Answer:

346 2/3 yards

Step-by-step explanation:

A football field is 100 yards long with each end zone being 10 years long, meaning the total length is 120 yards.

The width is 53 1/3 yards.

The perimeter is all the sides added, and a rectangle's, the shape of the field's, formula is p = 2l + 2w.

So if we plug it in and add it all up:

120 + 120 + 53 1/3 + 53 1/3

Perimeter = 346 2/3

4 0

2 years ago

Read 2 more answers

1)simplify the expression (2x)^4 2)the perimeter of a rectangular is twice the sum of its length and its width. the perimeter is

Marta_Voda [28]

$(2x)^4=16x^4$
------------------------------------------
$2(l+w)=16\\
l=2w+2\\\\
2(2w+2+w)=16\\
6w+4=16\\
6w=12\\
w=2\\\\
l=2\cdot2+2\\
l=6
$
-------------------------------------------
$-3+yi=x+6i\Rightarrow x=-3 \wedge y=6$

5 0

3 years ago

What's 5/6 divided by 2

natali 33 [55]

5/6÷2/1
=5/6×1/2
=5/12 i hope this helps

7 0

2 years ago