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adell [148]
3 years ago
12

three points have coordinates A(-1,2),B(3,10)and C(p,8).Find the value (s) of p if AC is perpendicular to BC.

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Step-by-step explanation:

All steps are in pic above.

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7 0
2 years ago
Given that x and y vary directly, write the equation relating x and y if x = 3 when y = 24. A) y = 8x B) xy = 8 C) y = 8 x D) y
motikmotik

A

given that y varies directly as x, then the relationship is

y = kx ← k is the constant of variation

To find k use the given condition x = 3 when y = 24

y = kx ⇒ k = \frac{y}{x} = \frac{24}{3} = 8

y = 8x


8 0
3 years ago
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You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year? For weekly gross i
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Answer:
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Step-by-step explanation:
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3 0
3 years ago
If 170% of a number is 680, what is 50% of the number
Bumek [7]

Answer:

200

Step-by-step explanation:

170% of x = 680

Set up an equation:

170/100 • x/1 = 680

1.7 • x = 680

1.7x = 680

x = 400

50% of 400

1/2 • 400 = 200

8 0
3 years ago
A company plans to enclose three parallel rectangular areas for sorting returned goods. The three areas are within one large rec
Svetlanka [38]

Answer:

The largest total area that can be enclosed will be a square of length 272 yards.

Step-by-step explanation:

First we get the perimeter of the large rectangular enclosure.

Perimeter of a rectangle =2(l + w)

Perimeter of the large rectangular enclosure= 1088 yard

Therefore:

2(L+W)=1088

The region inside the fence is the area

Area: A = LW

We need to solve the perimeter formula for either the length or width.

2L+ 2W= 1088 yd

2W= 1088– 2L

W = \frac{1088-2L}{2}

W = 544–L

Now substitute W = 544–L into the area formula

A = LW

A = L(544 – L)

A = 544L–L²

Since A is a quadratic expression, we re-write the expression with the exponents in descending order.

A = –L²+544L

Next, we look for the value of the x coordinate

L= -\frac{b}{2a}

L= -\frac{544}{2X-1}

L=272 yards

Plugging L=272 yards into the calculation for area:

A = –L²+544L

A(272)=-272²+544(272)

=73984 square yards

Thus the largest area that could be encompassed would be a square where each side has a length of 272 yards and a width of:

W = 544 – L

= 544 – 272

= 272 yards

7 0
3 years ago
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