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3 years ago

Find the x intercept and the y intercept of the graph of the equation 5x+4y=40

Mathematics

1 answer:

guapka [62]3 years ago

5 0

Answer:

x intercept is 8, y intercept is 10

Step-by-step explanation:

x intercept is the x value for which the graph crosses the x-axis. Similar for y.

5x + 4y = 40 describes a straight line, so we should have no problem with finding those values

Let's find an x for which y = 0

5x + 4y = 40

substitute y=0

5x = 40

x = 8

Let's find a y for which x = 0

5x + 4y = 40

substitute x=0

4y = 40

y = 10

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If AB is parallel to CD and the slope of CD is -5, what is the slope of AB?

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Step-by-step explanation:

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3 years ago

Veronica copies her uncle's address and phone number into her contact list. His area code is 775. His ZIP code is 89507. Which s

ExtremeBDS [4]

Answer:It is 100 times as great in the ZIP code than it is in the area code

Step-by-step explanation:

step 1

Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500

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it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code

Step 2:

Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.

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3 years ago

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Answer:

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Step-by-step explanation:

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8 0

3 years ago

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle

dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

$Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0$

Similarly, In Triangle BOL

$Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0$

Equating the Value of h

$xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft$

Since we have found the value of x, we can now determine the height, h of the tree.

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The height of the tree is 229.23 feet.

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3 years ago

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