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2 years ago

What points do y = -2x + 7 and y = 5x - 14 intercept on a graph

Mathematics

2 answers:

Dmitriy789 [7]2 years ago

7 0

Answer:

(3, 1)

Explanation:

because that's where they intercept

daser333 [38]2 years ago

5 0

Answer:

Both lines intersects at (3, 1)

given:

y = -2x + 7

y = 5x - 14

solve them simultaneously:

-2x + 7 = 5x - 14

5x + 2x = + 7 + 14

7x = 21

x = 3

solve for y:

y = -2x + 7

y = -2(3) + 7

y = -6 + 7

y = 1

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3 years ago

Read 2 more answers

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.

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In Triangle BOH

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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.

$h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet$

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