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2 years ago

-4x+8y=-256 -6y = x. how do u solve this equation by substitution.

1 answer:

4 0

To make it soo much easier, divide top equation by 4
-x+2y=-64

now
-6y=x
sub -6y for x
-(-6y)+2y=-64
6y+2y=-64
8y=-64
divide both sides by 8
y=-8

sub back
-6y=x
-6(-8)=x
48=x

x=48
y=-8
(x,y)
(48,-8)

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alexandr1967 [171]

Answer:

okay

Step-by-step explanation:

4 0

2 years ago

A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 feet longer

VladimirAG [237]

Let's say the second piece is x ft long
The first piece is 2x ft long
The third piece is x+4 ft long
All of the pieces should add up to 10ft
x+2x+x+4=10
4x= 6
x=1.5ft
The first piece is 2x ft long=3 ft long

7 0

2 years ago

What is the inequality for -8x>48

Naily [24]

Answer: x<−6

Step-by-step explanation:

6 0

2 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.

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

The height of the tree is 229.23 feet.

5 0

3 years ago

Subtract:30.008 - 23.17.<br> a. 5.229<br> b. 7.543<br> c. 27.691<br> d. 6.838

avanturin [10]

D is the correct answer.

8 0

3 years ago