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2 years ago

What number can I put in the denominator? 1 8 7

Mathematics

1 answer:

Zigmanuir [339]2 years ago

4 0

Answer:

The LCD denominator is 1

Step-by-step explanation:

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What is the answer to this

Arisa [49]

Answer:

x = 20, <S = 47 degrees, <P = 131 degrees

Step-by-step explanation:

27 + x + 119 + 63 + 3x + 71 = 360

4x + 280 = 360

4x = 80

x = 20

<S = 27 + x = 27 + 20 = 47 degrees

<P = 3x + 71 = 3(20) + 71 = 131 degrees

5 0

3 years ago

Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6

Ivan

Step-by-step explanation:

If the parabola has the form

$y = a(x - h)^2 + k$ (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

$y = \dfrac{1}{6}(x - 8)^2 + 6$

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length f. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

$\text{focus} = (h, k +\frac{1}{4a})$

where $\frac{1}{4a}$ is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length f is

$f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}$

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

$\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6$

5 0

2 years ago

Julia is selling bracelets (B) for each $3 each and necklaces (N) for $8 each. Write a inequality to represent all of the combin

trapecia [35]

$3b + 8n \geqslant 150$

7 0

3 years ago

Write a linear equation that represents the cost of buying t-shirts from Paula's printing. identify the meaning of each variable

g100num [7]

Answer:

Part 1) $y=x+21.5$

Part 2) $y=x+18$

Step-by-step explanation:

Part 1) Write a linear equation that represents the cost of buying t-shirts from Paula's printing.

Let

x ----> the number of t-shirts

y ----> the cost in dollars

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,23.5) and (4,25.5)

substitute in the formula

$m=\frac{25.5-23.5}{4-2}$

$m=\frac{2}{2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1$

$(x1,y1)=(2,23.5)$

substitute

$y-23.5=(1)(x-2)$

Convert to slope intercept form

$y=mx+b$

$y=x-2+23.5$

$y=x+21.5$

Part 2) Write a linear equation that represents the cost of buying t-shirts from Shantay's shirts.

Let

x ----> the number of t-shirts

y ----> the cost in dollars

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,20) and (4,22)

substitute in the formula

$m=\frac{22-20}{4-2}$

$m=\frac{2}{2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1$

$(x1,y1)=(2,20)$

substitute

$y-20=(1)(x-2)$

Convert to slope intercept form

$y=mx+b$

$y=x-2+20$

$y=x+18$

6 0

2 years ago

Who was the leader of the Nazi Party and the head of the totalitarian regime in Germany?

ololo11 [35]

Answer:

Adolf Hitler

Step-by-step explanation:

It was Adolf Hitler

7 0

2 years ago

Read 2 more answers