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2 years ago

Write an equation of the line that passes through (3,3) and (0,2)

Mathematics

2 answers:

suter [353]2 years ago

7 0

Y=1/3x+2 :))))))))))))))))))))))))

hram777 [196]2 years ago

6 0

Answer: y= 1/3x+2
My work below: (hope this helps!)

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A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl

lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0

2 years ago

A farmers field has the dimensions shown. He needs to find the area of the field so that he knows how much he needs to buy .What

kolbaska11 [484]

Answer:

Area of the rectangular Field = 3 8/9 km²

Step-by-step explanation:

Length of the field = 2 1/3 km

Width of the field = 1 2/3 km

Area of a rectangular Field = length × width

= 2 1/3 × 1 2/3

= 7/3 × 5/3

= (7*5)/(3*3)

= 35/9

Area of the rectangular Field = 3 8/9 km²

Perimeter of the rectangular Field = 2(length + width)

= 2(2 1/3 + 1 2/3)

= 2(7/3 + 5/3)

= 2(7+5/3)

= 2(12/3)

=2(4)

= 8 km

Perimeter of the rectangular Field = 8 km

5 0

2 years ago

PLEASE HELP WITH GRAPH LAST QUESTION I NEED

SVETLANKA909090 [29]

Answer:

$\sf g(x) = -1(x+3)^2 -2$

Explanation:

$\sf original \ graph: \ y=-x^{2}$

the graph is translated 3 units to the left and 2 units down.

vertex: (-3,-2) point: (-1,-6)

$\sf so \ new \ graph :$

$\sf y = a(x-h)^2 +k$

$\sf -6 = a(-1-(-3))^2 -2$

$\sf -6 = 4a -2$

$\sf 4a = -4$

$\sf a = -1$

$\sf equation:$

$\sf y = a(x-h)^2 +k$

$\sf y = -1(x+3)^2 -2$

6 0

2 years ago

Read 2 more answers

Need help with these math questions

PSYCHO15rus [73]

$\sqrt{16-x}$ x = 8

Since x = 8, you can plug in/substitute 8 for "x" in the equation:

$\sqrt{16-x}$

$\sqrt{16-8}$

$\sqrt{8}$

2.82842

2.83 You answer is the 4th option

$\sqrt{x+7}$ x = 9

Plug in 9 for "x" in the equation

$\sqrt{x+7}$

$\sqrt{9+7}$

$\sqrt{16}$

4 Your answer is the 1st option

4 0

2 years ago

The ratio of fiction to nonfiction books in the library is 4:5. If there are 900 books in a collection, how many are fiction?

jekas [21]

There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.

4 0

2 years ago