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2 years ago

What is the value of y? Enter your answer, as an exact value, in the box.

Mathematics

2 answers:

dolphi86 [110]2 years ago

6 0

Answer:

y/2 = tan(60) => y = 2 tan(60) = 2sqrt(3) = 3.464

Step-by-step explanation:

mylen [45]2 years ago

5 0

Answer:

y/2 = tan(60) => y = 2 tan(60) = 2sqrt(3) = 3.464

Step-by-step explanation:

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Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)

Pani-rosa [81]

Answer:

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the (6,5) points

in order to do so

recall that,

$\displaystyle m_{ \text{perpendicular}} = - \frac{1}{m}$

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

$\displaystyle m_{ \text{perpendicular}} = - \frac{1}{2}$

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

$\displaystyle y - y_{1} = m(x - x_{1})$

since we got our perpendicular m is -½, $x_1=6$ and $y_1=5$ , substitute

$\displaystyle y - 5 = - \frac{1}{2} (x - 6)$

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

$\displaystyle y - 5 = - \frac{1}{2} x + 3$

add 5 to both sides:

$\displaystyle y = - \frac{1}{2} x + 8$

hence,

our answer choice is B

3 0

3 years ago

Read 2 more answers

Maria put trim around a banner that is the shape of a triangle. each side is 22 inches long. maria has 1/2 foot of trim left. wh

marissa [1.9K]

Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.

6 0

2 years ago

What is the equation of the following line written in slope-intercept form -2/3 and -1/-4? y = -11x - 7 y = -7x + 11 y = -7x - 1

Snowcat [4.5K]

Answer:

$y=-7x-11$

Step-by-step explanation:

Given:

The two points on the line are $(-2,3)$ and $(-1,-4)$ .

The slope of the line joining two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

$Slope,m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here, $x_{1}=-2,y_{1}=3,x_{2}=-1,y_{2}=-4$

∴ $m=\frac{-3-4}{-1-(-2)}=\frac{-7}{-1+2}=\frac{-7}{1}=-7$

Equation of line with a point $(x_{1},y_{1})$ and slope $m$ is given as:

$y-y_{1}=m(x-x_{1})$

Plug in -2 for $x_{1}$ , 3 for $y_{1}$ and -7 for $m$ . This gives,

$y-3=-7(x-(-2))\\y-3=-7(x+2)\\y-3=-7x-(7\times 2)\\y-3=-7x-14\\y=-7x-14+3\\y=-7x-11$

Therefore, the equation of the line in vertex form is $y=-7x-11$ .

4 0

2 years ago

On a coordinate grid, your campsite is located at (3, – 5), and the next checkpoint station is located at (–10, 1). Each unit in

Bumek [7]

Answer: A. about 30.8 miles

The x and y distance from the campsite at A (3, – 5), and the next checkpoint station is located at B (–10, 1) would be:
Xab= Xb- Xa= -10 - 3= -13
Yab= Yb- Ya= 1- (-5)= 6

The resultant distance would be
c^2= a^2+b^2
c^2= (-13)^2 + (6)^2
c= √(169+36)= √205
c=14.32

If each unit in the coordinate plane represents 2.15 miles, the true distance= 14.32*2.15 miles= 30.78 miles

6 0

3 years ago

B is the midpoint of AC if AB equals X +5 and BC equals 2X -11 find the measure of AB

Anna11 [10]

Answer:

AB = 21

Step-by-step explanation:

The midpoint divides the segment into two congruent parts, so you have ...

AB = BC

x +5 = 2x -11 . . . substitute the given expressions for AB and BC

16 = x . . . . . . . . add 11-x

Then the measure of AB is ...

AB = x +5 = 16 +5 = 21

5 0

2 years ago