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Ghella [55]
3 years ago
13

If the lines px = 12 and 2x + qy = 10 intersects at (1 , 1), what is the value of p + q?

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

p + q = 20

Step-by-step explanation:

Given the lines intersect at (1, 1 ) then x = 1 and y = 1 make the equations true.

Consider

px = 12 with x = 1

p = 12

Consider

2x + qy with x = 1 and y = 1

2 + q = 10 ( subtract 2 from both sides )

q = 8

Hence p + q = 12 + 8 = 20

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Find volume and round to the nearest 100 if necessary.
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Answer:

1,795.5 m³

Step-by-step explanation:

Volume = base area × height

= [½(11+16)×9.5] × 14

1795.5 m³

7 0
3 years ago
Jika 5log2 = x dan 5log6 = y, maka nilai 4log150 adalah​
icang [17]

Menjawab:

y + 2x

Penjelasan langkah demi langkah:

Menulis ulang pertanyaannya

4log5 = x

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4 log 150 = 4log (2 * 3 * 5 * 5)

= 4log 6 + 4log 5 + 4log 5

Substrat

= y + x + x

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Oleh karena itu ekspresi yang dibutuhkan adalah y + 2x

7 0
3 years ago
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Step-by-step explanation:

7 0
2 years ago
The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 are the sides of a right triangle. Find the perimeter and area of the triang
sergiy2304 [10]

The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Perimeter and area of the triangle giving the equation of a line</h3>

First we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

From the given equation of the lines, the points of intersection of the line are (x₁, y₁) = (- 0.4, 5.2), (x₂, y₂) = (-0.8, 4.4) and (x₃, y₃) = (0, 4)

For the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

For the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

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Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/21511715

#SPJ1

8 0
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The Thompson family borrowed $120,000
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Answer:

27,600

Step-by-step explanation:

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