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3 years ago

3. Find the values of x and y given this diagram

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

Answer:

Step-by-step explanation:

5y and 45 are supplementary. They add to 180 degrees.

5y + 45 = 180 Subtract 45 from both sides.

5y = 135 Divide by 5

/5 /5

y = 27

2x+ 1 and 45 are vertically opposite which means they are equal.

2x+1 = 45 Subtract 1 from both sides

2x + 1 -1 = 45-1

2x = 44 Divide by 2

/2 /2

x = 22

Answer

x = 22
y = 27

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Mrs.Pepe buys 0.5 pound of American cheese at the deli. If the price of the American cheese $6.50 per pound, how much does she p

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Step-by-step explanation: 0.5 is half of 1 full pound so you would divide $6.50 by 2 to get $3.25.

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3 years ago

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Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes t

Zolol [24]

The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4) *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

y=2x-4

y=2x-3

y=2x+3

y=2x+4

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

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2 years ago

Write an equation in slope-intercept form for the line that passes through the points (6,-3) and

Vinvika [58]

Answer:

y = - $\frac{5}{6}$ x + 2

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 )

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m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (0, 2)

m = $\frac{2+3}{0-6}$ = $\frac{5}{-6}$ = - $\frac{5}{6}$ , thus

y = - $\frac{5}{6}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, - 3), then

- 3 = - 5 + c ⇒ c = - 3 + 5 = 2

y = - $\frac{5}{6}$ x + 2 ← equation of line

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3 years ago

A person starts out 17 miles from the base of a tall mountain, and looks up at a 4 degree angle of elevation to the top of the m

NemiM [27]

Answer:

13.4 degrees.

Step-by-step explanation:

Please find the attachment.

Let x represent angle of elevation.

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We can see that height (h) of the mountain is will be equal to both angles.

Let us find expression height of mountain.

Since tangent relates opposite side of right triangle to adjacent, so we can set an equation as:

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