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3 years ago

Please help me and thank you!

Mathematics

2 answers:

Naddik [55]3 years ago

5 0

54 feet would be exact i think dont take my word for it.

densk [106]3 years ago

4 0

Givens

Area: x^2 - 80x - 1500

Width: x - 30

Length: ??

Solution

x^2 - 80x - 1500 will factor

Area = (x - 30) (x - 50)

Length = Area / width

Length = ( (x - 30)(x - 50) ] / (x - 30)

Length = x - 50

Comment

You could say that the width = 30

And the length = 50

But I don't think that is what you are asked for.

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The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?

Korvikt [17]

Answer:

$A'(1,-5)$

Step-by-step explanation:

The coordinates of the given quadrilaterals are

$A(-5,1),B(-4,3),C(-2,1),D(-3,-1)$

The reflection in the line $y=x$ has the mapping,

$(x,y)\rightarrow(y,x)$

We just have to swap the coordinates.

This implies that,

$A(-5,1)\rightarrow A'(1,-5)$

$B(-4,3)\rightarrow B'(3,-4)$

$C(-2,1)\rightarrow C'(1,-2)$

$D(-3,-1)\rightarrow D'(-1,-3)$

Therefore the correct answer is A.

$A'(1,-5)$

8 0

3 years ago

Read 2 more answers

ABC is circumscribed about H, with the points of tangency D,E, and F.

Hoochie [10]

I think the answer is 30

4 0

2 years ago

Nirmala graphed the relationship between the duration (in hours) of using an oil lamp and the volume (in milliliters) of oil rem

mariarad [96]

Answer:

Nirmala can use the lamp for 31.66 hours before it runs out of oil.

Step-by-step explanation:

From the graph,

Take any two points, let say

(15, 25)

(25, 10)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(15,\:25\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)$

$m=\frac{10-25}{25-15}$

$m=-\frac{3}{2}$

The equation of line in slope-intercept form

$y = mx + b$

Putting $m=-\frac{3}{2}$ and any point, let say (25, 10), to find the y-intercept 'b'

$10=-\frac{3}{2}\left(25\right)+b$

$-\frac{3}{2}\left(25\right)+b=10$

$-\frac{75}{2}+b=10$

$\mathrm{Add\:}\frac{75}{2}\mathrm{\:to\:both\:sides}$

$-\frac{75}{2}+b+\frac{75}{2}=10+\frac{75}{2}$

$b=\frac{95}{2}$

$b=47.5$

So the equation of line will be:

$y = mx + b$

$y=-\frac{3}{2}x+47.5$

In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.

$y=-\frac{3}{2}x+47.5$

Putting y = 0

$0=-\frac{3}{2}x+47.5$

$-\frac{3}{2}x+47.5=0$

$-\frac{3}{2}x=-47.5$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$2\left(-\frac{3}{2}x\right)=2\left(-47.5\right)$

$-3x=-95$

$\mathrm{Divide\:both\:sides\:by\:}-3$

$\frac{-3x}{-3}=\frac{-95}{-3}$

$x=\frac{95}{3}$

$x=31.66$

Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.

4 0

3 years ago

Read 2 more answers

X-intercept: 3 y-intercept: 2

Sunny_sXe [5.5K]

Answer:

y = -2/3x + 2

Step-by-step explanation:

Hey there!

Well since we already got the y-intercept to find slope we'll use the points,

(3,0) and (0,2).

Formula: $\frac{y^2 - y^1}{x^2 - x^1}$

Plug in the given points,

$\frac{2 - 0}{0 - 3}$

Slope = -2/3

Slope-intercept: y = -2/3x + 2

Hope this helps :)

8 0

4 years ago

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Find the value of y possible answers are: A. y=1.8 B. y=7.2 C. y=9 D. y=16.2

Dahasolnce [82]

Answer:

I believe the answer is C.

Step-by-step explanation:

I put in 9 into the y

6(9)= 54

4(9)+18=

36+18= 54

Add them with the right angles (which are 90)

Leaves the other angles KLH, FLH being 36

7 0

3 years ago