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storchak [24]
2 years ago
8

Write a system of two equations in two variables to solve the problem. when fully extended, a ladder is 28 feet in length. if th

e extension is 4 feet shorter than the base, how long is each part of the ladder? base
Mathematics
1 answer:
Alisiya [41]2 years ago
5 0
Let the base of the ladder be x ft and the extension be y ft.

"when fully extended, a ladder is 28 feet in length."

means: x+y=28

"<span>the extension is 4 feet shorter than the base</span>"

means: y=x-4,   that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)

thus, we have the system of equations:

1) x+y= 28 

2) x-y=4

adding the 2 equations, we have:

(x+y)+(x-y)=28+4

2x=32

x=32/2=16


x+y=28, so 16+y=28, thus y=12


Answer: Base: 16, Extension 12
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If point W is -4,-2 and point V is -2,-2 what is the length of VW
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Answer:

2 units

Step-by-step explanation:

The length of VW is just the distance between the two coordinates. You could use the distance formula, or an easier and faster way would be to recognize that since both points have the same y-coordinate, the distance between them will just be the distance of the x-coordinates. The absolute value of -4 and -2 is 2, so the length of VW is 2 units.

Hope this helped! ;)

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The coordinates of the vertices of / are G(–2, 3), H(–1, 2), and I(–3, 1). If / is reflected across the x-axis to create /, find
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that is the answer

3 0
3 years ago
Work out the value of A
Mkey [24]

Answer:

that is really so difficult ? what do you not understand here ? please let me know, if you need any further explanations.

you know what the perimeter is ? if it's the circumference, the way around the object. in other words, the distance you have to walk, when going along all sidelines of the object.

so the perimeter is the sum of of all side lengths.

56 = x - 1 + 3x + 3x + 1 = 7x

x = 8

that gives us the side lengths :

x - 1 = 7 cm

3x = 21 cm

3x + 1 = 22 cm

the formula for the area of a triangle

A = baseline × height / 2

the advantage of a right-angled triangle in this regard is that the sides enclosing the 90 degree angle are already "acting" as baseline and the height (standing on the baseline with a 90 degree angle).

so, we can simply say here, the 3x side is the baseline, and the x-1 side is also the height.

therefore,

A = 21×7/2 = 147/2 = 73.5 cm²

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If need any help editing an essay or something you can not do on here heres my number
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on what's app ?

Step-by-step explanation:

or telegram ?

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